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Further Contributions to the Theory and Technique of Psycho-AnalysisИздательство: The Hogarth Press
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The aim of this book is to familiarize the reader with fundamental topics in number theory: theory of divisibility, arithmetrical functions, prime numbers, geometry of numbers, additive number theory, probabilistic number theory, theory of Diophantine approximations and algebraic number theory. The author tries to show the connection between number theory and other branches of mathematics with the resultant tools adopted in the book ranging from algebra to probability theory, but without exceeding the undergraduate students who wish to be acquainted with number theory, graduate students intending to specialize in this field and researchers requiring the present state of knowledge.
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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. “Applications of Combinatorial Optimization” is presenting a certain number among the most common and well-known applications of Combinatorial Optimization.
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Introductory textbook on number-theoretic combinatorics. Combinatorial problems of distribution and occupancy are studied using a number-theoretic viewpoint. This book is best suited for advanced undergraduates or beginning graduate students in mathematics.
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"In it, Jourdain outlines the contributions of many of Cantor¿s forerunners¿including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel¿and then further contextualizes Cantor¿s groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses:¿ the addition and multiplication of powers¿ the exponentiation of powers¿ the finite cardinal numbers¿ the smallest transfinite cardinal number aleph-zero¿ addition and multiplication of ordinal types¿ well-ordered aggregates¿ the ordinal numbers of well-ordered aggregates¿ and much more.German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."
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A highly successful presentation of the fundamental concepts of number theory and computer programming Bridging an existing gap between mathematics and programming, Elementary Number Theory with Programming provides a unique introduction to elementary number theory with fundamental coverage of computer programming. Written by highly-qualified experts in the fields of computer science and mathematics, the book features accessible coverage for readers with various levels of experience and explores number theory in the context of programming without relying on advanced prerequisite knowledge and concepts in either area. Elementary Number Theory with Programming features comprehensive coverage of the methodology and applications of the most well-known theorems, problems, and concepts in number theory. Using standard mathematical applications within the programming field, the book presents modular arithmetic and prime decomposition, which are the basis of the public-private key system of cryptography. In addition, the book includes: Numerous examples, exercises, and research challenges in each chapter to encourage readers to work through the discussed concepts and ideas Select solutions to the chapter exercises in an appendix Plentiful sample computer programs to aid comprehension of the presented material for readers who have either never done any programming or need to improve their existing skill set A related website with links to select exercises An Instructor’s Solutions Manual available on a companion website Elementary Number Theory with Programming is a useful textbook for undergraduate and graduate-level students majoring in mathematics or computer science, as well as an excellent supplement for teachers and students who would like to better understand and appreciate number theory and computer programming. The book is also an ideal reference for computer scientists, programmers, and researchers interested in the mathematical applications of programming.
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Combinatorial auctions are auctions in which each bid can be placed on a set of items, as opposed to standard auctions, in which each bid is placed on a single item. The winner determination problem for combinatorial auctions is known to be NP-complete. One of the approaches to cope with the hardness of the problem is to identify tractable classes of combinatorial auctions by means of hypertree decompositions. The winner determination problem is tractable on the class of instances with corresponding dual hypergraphs having hypertree width bounded by a fixed natural number. This book describes an optimal algorithm, called ComputeSetPackingK, for solving the winner determination problem based on these ideas. The algorithm was implemented, and experimental results are also presented.
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Explore the main algebraic structures and number systems that play a central role across the field of mathematics Algebra and number theory are two powerful branches of modern mathematics at the forefront of current mathematical research, and each plays an increasingly significant role in different branches of mathematics, from geometry and topology to computing and communications. Based on the authors' extensive experience within the field, Algebra and Number Theory has an innovative approach that integrates three disciplines—linear algebra, abstract algebra, and number theory—into one comprehensive and fluid presentation, facilitating a deeper understanding of the topic and improving readers' retention of the main concepts. The book begins with an introduction to the elements of set theory. Next, the authors discuss matrices, determinants, and elements of field theory, including preliminary information related to integers and complex numbers. Subsequent chapters explore key ideas relating to linear algebra such as vector spaces, linear mapping, and bilinear forms. The book explores the development of the main ideas of algebraic structures and concludes with applications of algebraic ideas to number theory. Interesting applications are provided throughout to demonstrate the relevance of the discussed concepts. In addition, chapter exercises allow readers to test their comprehension of the presented material. Algebra and Number Theory is an excellent book for courses on linear algebra, abstract algebra, and number theory at the upper-undergraduate level. It is also a valuable reference for researchers working in different fields of mathematics, computer science, and engineering as well as for individuals preparing for a career in mathematics education.
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How many ways do exist to mix different ingredients, how many chances to win a gambling game, how many possible paths going from one place to another in a network ? To this kind of questions Mathematics applied to computer gives a stimulating and exhaustive answer. This text, presented in three parts (Combinatorics, Probability, Graphs) addresses all those who wish to acquire basic or advanced knowledge in combinatorial theories. It is actually also used as a textbook. Basic and advanced theoretical elements are presented through simple applications like the Sudoku game, search engine algorithm and other easy to grasp applications. Through the progression from simple to complex, the teacher acquires knowledge of the state of the art of combinatorial theory. The non conventional simultaneous presentation of algorithms, programs and theory permits a powerful mixture of theory and practice. All in all, the originality of this approach gives a refreshing view on combinatorial theory.
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The International Workshop on Combinatorial Algorithms was established in 1989 as the Australasian Workshop on Combinatorial Algorithms. As a consequence of the workshop's success in attracting mathematicians and computer scientists from around the world, it was decided at the 2006 meeting to go global, to change the workshop's name, and to hold it in appropriate venues around the world. The workshop supports basic research on the interface between mathematics and computing, specifically * Algorithms & Data Structures * Complexity Theory * Algorithms on Graphs & Strings * Combinatorial Optimization * Cryptography & Information Security * Computational Biology * Communications Networks and many other related areas. This is Volume 2 in the series of IWOCA proceedings. See
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Number theory is a subdiscipline of math which studies the properties of numbers. "Study on Number Theory" section includes basic theory and special explored section The section of basic theories is a supplement to the main part of Elementary number theory, including, Pythagoras equation, congruence theory, unitary congruence equation, quadratic congruence equation and the original root and so on, and the basic theories also make considerable improvement for the above. May this old and promising subject become a part of middle-school math teaching. The part of thematic Exploratory includes the following chapters: a concrete explanation of Fermat conjecture; the primality test for Fermat Number Fn；the application of congruence equations; the distribution of related prime numbers; primes pair of even numbers; the fundamental problems of transfinite numbers.
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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. “Paradigms of Combinatorial Optimization” is divided in two parts: • Paradigmatic Problems, that handles several famous combinatorial optimization problems as max cut, min coloring, optimal satisfiability tsp, etc., the study of which has largely contributed to both the development, the legitimization and the establishment of the Combinatorial Optimization as one of the most active actual scientific domains; • Classical and New Approaches, that presents the several methodological approaches that fertilize and are fertilized by Combinatorial optimization such as: Polynomial Approximation, Online Computation, Robustness, etc., and, more recently, Algorithmic Game Theory.
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The aim of this journal is to publish original, high-quality research articles from a broad range of interests within combinatorics, number theory and allied areas. One volume of four issues is published annually.
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Bringing together leading-edge research and innovative energy markets econometrics, this book collects the author's most important recent contributions in energy economics. In particular, the book:• applies recent advances in the field of applied econometrics to investigate a number of issues regarding energy markets, including the theory of storage and the efficient markets hypothesis• presents the basic stylized facts on energy price movements using correlation analysis, causality tests, integration theory, cointegration theory, as well as recently developed procedures for testing for shared and codependent cycles• uses recent advances in the financial econometrics literature to model time-varying returns and volatility in energy prices and to test for causal relationships between energy prices and their volatilities• explores the functioning of electricity markets and applies conventional models of time series analysis to investigate a number of issues regarding wholesale power prices in the western North American markets• applies tools from statistics and dynamical systems theory to test for nonlinear dynamics and deterministic chaos in a number of North American hydrocarbon markets (those of ethane, propane, normal butane, iso-butane, naptha, crude oil, and natural gas)
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This book describes the main classical combinatorial problems that can be encountered when designing a logistics network or driving a supply chain. It shows how these problems can be tackled by metaheuristics, both separately and using an integrated approach. A huge number of techniques, from the simplest to the most advanced ones, are given for helping the reader to implement efficient solutions that meet its needs. A lot of books have been written about metaheuristics (methods for solving hard optimization problems) and supply chain management (the field in which we find a huge number of combinatorial optimization problems) in the last decades. So, the main reason of this book is to describe how these methods can be implemented for this class of problems.
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As we enter the new millennium, combinatorial chemistry is providing significant impetus to new innovations in synthetic chemistry. Combinatorial chemistry has rapidly become the rising star among research methods, allowing scientists to efficiently test the feasibility of a multitude of new compounds. The pursuit of new drugs is but one challenging field in which these combinatorial methods are particularly advantageous, helping researchers meet the modern-day demands of a highly competitive environment. This book emphasises that modern combinatorial synthesis is possible not only in the solid phase, but also in solutions. Moreover, it discusses computer-assisted methods as well as the apparatus and instrumentation required for the combinatorial method. Successful and experienced researchers in the leading pharmaceutical companies and most renowned research institutes offer a solid insight and perspective into this diverse field. A 'must' for every scientist in the area of pharmaceutical research
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The only book to provide a unified view of the interplay between computational number theory and cryptography Computational number theory and modern cryptography are two of the most important and fundamental research fields in information security. In this book, Song Y. Yang combines knowledge of these two critical fields, providing a unified view of the relationships between computational number theory and cryptography. The author takes an innovative approach, presenting mathematical ideas first, thereupon treating cryptography as an immediate application of the mathematical concepts. The book also presents topics from number theory, which are relevant for applications in public-key cryptography, as well as modern topics, such as coding and lattice based cryptography for post-quantum cryptography. The author further covers the current research and applications for common cryptographic algorithms, describing the mathematical problems behind these applications in a manner accessible to computer scientists and engineers. Makes mathematical problems accessible to computer scientists and engineers by showing their immediate application Presents topics from number theory relevant for public-key cryptography applications Covers modern topics such as coding and lattice based cryptography for post-quantum cryptography Starts with the basics, then goes into applications and areas of active research Geared at a global audience; classroom tested in North America, Europe, and Asia Incudes exercises in every chapter Instructor resources available on the book’s Companion Website Computational Number Theory and Modern Cryptography is ideal for graduate and advanced undergraduate students in computer science, communications engineering, cryptography and mathematics. Computer scientists, practicing cryptographers, and other professionals involved in various security schemes will also find this book to be a helpful reference.
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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: – On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; – Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; – Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
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Master's Thesis from the year 2010 in the subject Business economics - Law, grade: A, Central European University Budapest (Law Faculty), course: Law of Corporations, language: English, abstract: AbstractThe capital of a company is considered as security for creditors and legal systems provide the framework to safeguard this security. This paper demonstrates overvaluation of non-cash contributions as a risk this security is to be safeguarded from. It outlines what a cmprehensive control system on non-cash contributions looks like and comparatively assesses the laws of the EC, Germany, France, England, and Ethiopia as to the mechanisms they provide to control this form of contribution. The paper shows that the three member states of of the EC have transposed the Community law on the subject of control of non-cashcontributions in a similar fashion and that they converge on a number of areas regarding their approaches to controlling non-cash contributions like definition of valid forms of tnon-cash contributions and the expert valuation , payment and disclosure requirements. The above three legal systems are selected because of their relevance to the Ethiopian law for they are the sources of the latter's Commercial Code. Compared to these legal systems, the control system over non-csh-contributions under the Ethiopian law involves a number of matters that need addressed through amendement of the law.
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This is a solutions manual to accompany Combinatorial Reasoning: An Introduction to the Art of Counting Written by well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting introduces combinatorics alongside modern techniques, showcases the interdisciplinary aspects of the topic, and illustrates how to problem solve with a multitude of exercises throughout. The authors' approach is very reader-friendly and avoids the «scholarly tone» found in many books on this topic.
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The aim of this journal is to publish original, high-quality research articles from a broad range of interests within combinatorics, number theory and allied areas. \ One volume of four issues is published annually.
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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aims to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: On the complexity of combinatorial optimization problems, that presents basics about worst-case and randomized complexity; Classical solution methods, that presents the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; Elements from mathematical programming, that presents fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
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A Companion to Hermeneutics is a collection of original essays from leading international scholars that provide a definitive historical and critical compendium of philosophical hermeneutics. Offers a definitive historical, systematic, and critical compendium of hermeneutics Represents state-of-the-art thinking on the major themes, topics, concepts and figures of the hermeneutic tradition in philosophy and those who have influenced hermeneutic thought, including Kant, Hegel, Schleiermacher Dilthey, Heidegger, Gadamer, Ricoeur, Foucault, Habermas, and Rorty Explores the art and theory of interpretation as it intersects with a number of philosophical and inter-disciplinary areas, including humanism, theology, literature, politics, education and law Features contributions from an international cast of leading and upcoming scholars, who offer historically informed, philosophically comprehensive, and critically astute contributions in their individual fields of expertise Written to be accessible to interested non-specialists, as well asprofessional philosophers
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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: – On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; – Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; – Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
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Combinatorial optimization is a multidisciplinary scientific area, lying in the interface of three major scientific domains: mathematics, theoretical computer science and management. The three volumes of the Combinatorial Optimization series aim to cover a wide range of topics in this area. These topics also deal with fundamental notions and approaches as with several classical applications of combinatorial optimization. Concepts of Combinatorial Optimization, is divided into three parts: – On the complexity of combinatorial optimization problems, presenting basics about worst-case and randomized complexity; – Classical solution methods, presenting the two most-known methods for solving hard combinatorial optimization problems, that are Branch-and-Bound and Dynamic Programming; – Elements from mathematical programming, presenting fundamentals from mathematical programming based methods that are in the heart of Operations Research since the origins of this field.
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Grothendieck's beautiful theory of schemes permeates modern algebraic geometry and underlies its applications to number theory, physics, and applied mathematics. This simple account of that theory emphasizes and explains the universal geometric concepts behind the definitions. In the book, concepts are illustrated with fundamental examples, and explicit calculations show how the constructions of scheme theory are carried out in practice.
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An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form p = x2+ ny2 details the history behind how Pierre de Fermat’s work ultimately gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form p = x2 + ny2, Second Edition focuses on addressing the question of when a prime p is of the form x2 + ny2, which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: • A well-motivated introduction to the classical formulation of class field theory • Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations • An elementary treatment of quadratic forms and genus theory • Simultaneous treatment of elementary and advanced aspects of number theory • New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography Primes of the Form p = x2 + ny2, Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory.
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The second edition of The Handbook of Contemporary Semantic Theory presents a comprehensive introduction to cutting-edge research in contemporary theoretical and computational semantics. Features completely new content from the first edition of The Handbook of Contemporary Semantic Theory Features contributions by leading semanticists, who introduce core areas of contemporary semantic research, while discussing current research Suitable for graduate students for courses in semantic theory and for advanced researchers as an introduction to current theoretical work
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Written by two well-known scholars in the field, Combinatorial Reasoning: An Introduction to the Art of Counting presents a clear and comprehensive introduction to the concepts and methodology of beginning combinatorics. Focusing on modern techniques and applications, the book develops a variety of effective approaches to solving counting problems. Balancing abstract ideas with specific topical coverage, the book utilizes real world examples with problems ranging from basic calculations that are designed to develop fundamental concepts to more challenging exercises that allow for a deeper exploration of complex combinatorial situations. Simple cases are treated first before moving on to general and more advanced cases. Additional features of the book include: • Approximately 700 carefully structured problems designed for readers at multiple levels, many with hints and/or short answers • Numerous examples that illustrate problem solving using both combinatorial reasoning and sophisticated algorithmic methods • A novel approach to the study of recurrence sequences, which simplifies many proofs and calculations • Concrete examples and diagrams interspersed throughout to further aid comprehension of abstract concepts • A chapter-by-chapter review to clarify the most crucial concepts covered Combinatorial Reasoning: An Introduction to the Art of Counting is an excellent textbook for upper-undergraduate and beginning graduate-level courses on introductory combinatorics and discrete mathematics.
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This book comprehensively describes the development and practice of DNA-encoded library synthesis technology. Together, the chapters detail an approach to drug discovery that offers an attractive addition to the portfolio of existing hit generation technologies such as high-throughput screening, structure-based drug discovery and fragment-based screening. The book: Provides a valuable guide for understanding and applying DNA-encoded combinatorial chemistry Helps chemists generate and screen novel chemical libraries of large size and quality Bridges interdisciplinary areas of DNA-encoded combinatorial chemistry – synthetic and analytical chemistry, molecular biology, informatics, and biochemistry Shows medicinal and pharmaceutical chemists how to efficiently broaden available “chemical space” for drug discovery Provides expert and up-to-date summary of reported literature for DNA-encoded and DNA-directed chemistry technology and methods
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This book is the product of a community-wide initiative to provide a reliable, technically accurate, historically informative, uniform and concise collection of logical calculi, adopting a broad and bottom-up approach to questions concerning the nature of logic and deductive inference. The encyclopaedia already includes 93 proof systems, spanning a wide variety of logics (e.g. classical, intuitionistic, linear and modal logics) and deduction styles (e.g. resolution/superposition, natural deduction, sequent calculi and tableaux). Although this large number of calculi illustrates well how much proof theory and automated reasoning have flourished recently, it is still small compared to the number of calculi that have been invented or discovered so far. Therefore, the encyclopaedia remains a work in progress and further contributions describing proof systems that are not yet included here are welcome for future editions.
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Classifying objects --- thus collecting them into classes --- is anoperation both fundamental and common in everyday life as well as inscientific endeavours. Logic, philosophy, mathematics and computerscience analyse this activity by means of such notions as `class',`set', and `type'. Furthermore, according to the so-called ``logical(or naive) conception of classes", these notions are related to thenotion `concept' in that classes are considered `extensions' ofconcepts. This relationship, however, is a delicate one --- as wehave learned from the paradoxes of class theory. The contributions tothis volume shed new light both on concepts and classes and theirdelicate relationship. New and original approaches to these issues(e.g., map theory, epsilon-sets, intensional type theory, AFA settheory) are presented and discussed in the broader context of theirapplication to problems from informatics and linguistics. The focus ison such matters as unrestrictive comprehension, extensionality, therelationship between the notions of concept, class and extension, andon unfounded (circular and infinitely descending) patterns ofelementhood. These and related problems have always played a role inthe development of set theory and have always delivered motivation forthe development of unorthodox views and theories. This is alsodemonstrated in this volume by contributions dealing with the historyof Zermelo's axiomatization of set theory and Ackermann's class theory...
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Praise for the First Edition «. . .will certainly fascinate anyone interested in abstract algebra: a remarkable book!» —Monatshefte fur Mathematik Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in modern algebra, including groups and fields. Covering classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields, Galois Theory, Second Edition delves into novel topics like Abel’s theory of Abelian equations, casus irreducibili, and the Galois theory of origami. In addition, this book features detailed treatments of several topics not covered in standard texts on Galois theory, including: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois's results about irreducible polynomials of prime or prime-squared degree Abel's theorem about geometric constructions on the lemniscates Galois groups of quartic polynomials in all characteristics Throughout the book, intriguing Mathematical Notes and Historical Notes sections clarify the discussed ideas and the historical context; numerous exercises and examples use Maple and Mathematica to showcase the computations related to Galois theory; and extensive references have been added to provide readers with additional resources for further study. Galois Theory, Second Edition is an excellent book for courses on abstract algebra at the upper-undergraduate and graduate levels. The book also serves as an interesting reference for anyone with a general interest in Galois theory and its contributions to the field of mathematics.
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Praise for the First Edition “This excellent text should prove a useful accoutrement for any developing mathematics program . . . it’s short, it’s sweet, it’s beautifully written.” —The Mathematical Intelligencer “Erickson has prepared an exemplary work . . . strongly recommended for inclusion in undergraduate-level library collections.” —Choice Featuring a modern approach, Introduction to Combinatorics, Second Edition illustrates the applicability of combinatorial methods and discusses topics that are not typically addressed in literature, such as Alcuin’s sequence, Rook paths, and Leech’s lattice. The book also presents fundamental results, discusses interconnection and problem-solving techniques, and collects and disseminates open problems that raise questions and observations. Many important combinatorial methods are revisited and repeated several times throughout the book in exercises, examples, theorems, and proofs alike, allowing readers to build confidence and reinforce their understanding of complex material. In addition, the author successfully guides readers step-by-step through three major achievements of combinatorics: Van der Waerden’s theorem on arithmetic progressions, Pólya’s graph enumeration formula, and Leech’s 24-dimensional lattice. Along with updated tables and references that reflect recent advances in various areas, such as error-correcting codes and combinatorial designs, the Second Edition also features: Many new exercises to help readers understand and apply combinatorial techniques and ideas A deeper, investigative study of combinatorics through exercises requiring the use of computer programs Over fifty new examples, ranging in level from routine to advanced, that illustrate important combinatorial concepts Basic principles and theories in combinatorics as well as new and innovative results in the field Introduction to Combinatorics, Second Edition is an ideal textbook for a one- or two-semester sequence in combinatorics, graph theory, and discrete mathematics at the upper-undergraduate level. The book is also an excellent reference for anyone interested in the various applications of elementary combinatorics.
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A groundbreaking look at complexity theory and its implications in the world of finance Complexity theory tells us that processes with a large number of seemingly independent agents-such as free markets-can spontaneously organize themselves into a coherent system. In this fascinating book, Edgar Peters brings together scientific theory, the artistic process, and economics to show how the randomness and uncertainty of complexity theory can be applied to financial markets. Written in an engaging and accessible style, this is a thoughtful, conceptual look at the way free markets are, by their nature, continually evolving complex systems. Expanding on previous explorations of chaos theory, Peters draws on real-life examples ranging from the Asian crisis to America's love of conspiracy to show that complexity and randomness are necessary for the free markets to operate in a competitive manner.
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Research Paper (postgraduate) from the year 2011 in the subject Mathematics - Number Theory, grade: Postgraduate, University of Sheffield, language: English, abstract: This document is a continuation of my Semester 1 project on class field theory. In the previous work, we made a rounded exposition of the fundamentals of class field theory but in order to preserve the document length the main proofs had to be skipped. We concentrate on filling in the gaps in this second installment. Due to the need to complete the arguments left open last semester and the need for applications this part of the project is a little longer than it should have been. It was not mentioned in the previous project but the class field theory we are studying here is global class field theory. There is such a thing as local class field theory in which we study the Abelian extensions of local fields (essentially fields that arise as completions of a number field with respect to places). Actually we touch on these ideas slightly in this project but never quite get to de_ning a local Artin map and looking at the local analogues of the main theorems of global class field theory. For those wanting to continue on to study local class field theory, consider Chapter 7 of [2] To start off this project we shall first restate the main de_nitions and theorems. This will be brief and those wanting to remind themselves of the details should consult my Semester 1 project. There will be very little motivation or technic...
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2014 Reprint of 1931 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves - rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations. Hermann Weyl was one of the most influential mathematicians of the twentieth century. Along with his fundamental contributions to most branches of mathematics, Hermann Weyl (1885-1955) took a serious interest in theoretical physics. In addition to teaching in Zürich, Göttingen, and Princeton, Weyl worked with Einstein on relativity theory at the Institute for Advanced Studies. "A classic of physics . . . the first systematic presentation of Einstein's theory of relativity." - British Journal for Philosophy and Science
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Biocultural or biosocial anthropology is a research approach that views biology and culture as dialectically and inextricably intertwined, explicitly emphasizing the dynamic interaction between humans and their larger social, cultural, and physical environments. The biocultural approach emerged in anthropology in the 1960s, matured in the 1980s, and is now one of the dominant paradigms in anthropology, particularly within biological anthropology. This volume gathers contributions from the top scholars in biocultural anthropology focusing on six of the most influential, productive, and important areas of research within biocultural anthropology. These are: critical and synthetic approaches within biocultural anthropology; biocultural approaches to identity, including race and racism; health, diet, and nutrition; infectious disease from antiquity to the modern era; epidemiologic transitions and population dynamics; and inequality and violence studies. Focusing on these six major areas of burgeoning research within biocultural anthropology makes the proposed volume timely, widely applicable and useful to scholars engaging in biocultural research and students interested in the biocultural approach, and synthetic in its coverage of contemporary scholarship in biocultural anthropology. Students will be able to grasp the history of the biocultural approach, and how that history continues to impact scholarship, as well as the scope of current research within the approach, and the foci of biocultural research into the future. Importantly, contributions in the text follow a consistent format of a discussion of method and theory relative to a particular aspect of the above six topics, followed by a case study applying the surveyed method and theory. This structure will engage students by providing real world examples of anthropological issues, and demonstrating how biocultural method and theory can be used to elucidate and resolve them. Key features include: Contributions which span the breadth of approaches and topics within biological anthropology from the insights granted through work with ancient human remains to those granted through collaborative research with contemporary peoples. Comprehensive treatment of diverse topics within biocultural anthropology, from human variation and adaptability to recent disease pandemics, the embodied effects of race and racism, industrialization and the rise of allergy and autoimmune diseases, and the sociopolitics of slavery and torture. Contributions and sections united by thematically cohesive threads. Clear, jargon-free language in a text that is designed to be pedagogically flexible: contributions are written to be both understandable and engaging to both undergraduate and graduate students. Provision of synthetic theory, method and data in each contribution. The use of richly contextualized case studies driven by empirical data. Through case-study driven contributions, each chapter demonstrates how biocultural approaches can be used to better understand and resolve real-world problems and anthropological issues.
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The new edition is significantly updated and expanded. This unique collection of review articles, ranging from fundamental concepts up to latest applications, contains individual contributions written by renowned experts in the relevant fields. Much attention is paid to ensuring fast access to the information, with each carefully reviewed article featuring cross-referencing, references to the most relevant publications in the field, and suggestions for further reading, both introductory as well as more specialized. While the chapters on group theory, integral transforms, Monte Carlo methods, numerical analysis, perturbation theory, and special functions are thoroughly rewritten, completely new content includes sections on commutative algebra, computational algebraic topology, differential geometry, dynamical systems, functional analysis, graph and network theory, PDEs of mathematical physics, probability theory, stochastic differential equations, and variational methods.
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Эта книга — репринт оригинального издания, созданный на основе электронной копии высокого разрешения, которую очистили и обработали вручную, сохранив структуру и орфографию оригинального издания. Редкие, забытые и малоизвестные книги, изданные с петровских времен до наших дней, вновь доступны в виде печатных книг.
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Algebraic K-Theory has become an increasingly active area of research. With its connections to algebra, algebraic geometry, topology, and number theory, it has implications for a wide variety of researchers and students in mathematics. This book is based on lectures given by the author at the Tata Institute in Bombay and elsewhere. This new edition includes an appendix on algebraic geometry that contains required definitions and results needed to understand the core of the book.
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Mathematics of Bioinformatics: Theory, Methods, and Applications provides a comprehensive format for connecting and integrating information derived from mathematical methods and applying it to the understanding of biological sequences, structures, and networks. Each chapter is divided into a number of sections based on the bioinformatics topics and related mathematical theory and methods. Each topic of the section is comprised of the following three parts: an introduction to the biological problems in bioinformatics; a presentation of relevant topics of mathematical theory and methods to the bioinformatics problems introduced in the first part; an integrative overview that draws the connections and interfaces between bioinformatics problems/issues and mathematical theory/methods/applications.
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A definitive guide to the growing field of health psychology, which showcases contributions from academics and professionals working at the cutting edge of their discipline. Explores the field of modern health psychology, its latest developments, and how it fits into the contexts of modern healthcare, industry and academia Offers practical, real-world examples and applications for psychological theory in health care settings Provides a timely resource to support the new HPC registration of health and other psychologists Includes contributions from practitioners in a wide range of health care settings who share their own vivid personal experiences, as well as more general guidance to applying theory in practice
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This comprehensive introduction to computational network theory as a branch of network theory builds on the understanding that such networks are a tool to derive or verify hypotheses by applying computational techniques to large scale network data. The highly experienced team of editors and high-profile authors from around the world present and explain a number of methods that are representative of computational network theory, derived from graph theory, as well as computational and statistical techniques. With its coherent structure and homogenous style, this reference is equally suitable for courses on computational networks.
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Formal Languages, Automaton and Numeration Systems presents readers with a review of research related to formal language theory, combinatorics on words or numeration systems, such as Words, DLT (Developments in Language Theory), ICALP, MFCS (Mathematical Foundation of Computer Science), Mons Theoretical Computer Science Days, Numeration, CANT (Combinatorics, Automata and Number Theory). Combinatorics on words deals with problems that can be stated in a non-commutative monoid, such as subword complexity of finite or infinite words, construction and properties of infinite words, unavoidable regularities or patterns. When considering some numeration systems, any integer can be represented as a finite word over an alphabet of digits. This simple observation leads to the study of the relationship between the arithmetical properties of the integers and the syntactical properties of the corresponding representations. One of the most profound results in this direction is given by the celebrated theorem by Cobham. Surprisingly, a recent extension of this result to complex numbers led to the famous Four Exponentials Conjecture. This is just one example of the fruitful relationship between formal language theory (including the theory of automata) and number theory.
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2015 Reprint of 1953 Edition. Full Facsimile of the original edition. Not reproduced with Optical Recognition Software. This book makes three discrete contributions to the theory of motivation. The first contribution is a theory of motivation; the second large section carefully describes the measurement of the achievement motive through content-analysis of imaginations stories; the rest of the book summarizes a number of experiments with the achievement motive as the dependent variable. McClelland is chiefly known for his work on achievement motivation, but his research interests extended to personality and consciousness. David McClelland pioneered workplace motivational thinking, developing achievement-based motivational theory and models, and promoted improvements in employee assessment methods, advocating competency-based assessments and tests, arguing them to be better than traditional IQ and personality-based tests. His ideas have since been widely adopted in many organizations, and relate closely to the theory of Frederick Herzberg.
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The social worker's guide to integrating theory and practice Applying Theory to Generalist Social Work Practice teaches aspiring social workers how to apply theory in real world practice. Fully aligned with the Council on Social Work Education's 2015 Educational Policy and Accreditation Standards, the book links theory to practice with clear, concise instruction including a discussion of evidence-based practice. Twelve commonly-used theories are thoroughly explained, with discussion of the strengths and limitations of each, and applied to real work with individuals, groups, families, communities, and organizations. The book includes case studies and first-person contributions from practicing social workers to illustrate the real-world scenarios in which different concepts apply. Critical thinking questions help students strengthen their understanding of the ideas presented. Tools including a test bank, PowerPoint slides, and an instructor's manual are available to facilitate classroom use, providing a single-volume guide to the entire helping process, from engagement to termination. Practice is a core foundational course for future social workers, but many practice texts focus on skills while neglecting the theoretical basis for social work. Applying Theory to Generalist Social Work Practice fills that gap by covering both skills and theory in a single text. Examines the applications of prevailing social theories Covers the most common theories used in micro, mezzo, and macro practice Helps readers understand well-established approaches like strengths perspective, humanistic and client-centered, task-centered, and solution-focused brief therapy Shows how to apply major theories including ecological/system, cognitive/behavioral, conflict, empowerment, narrative, crisis, critical, and feminist An effective social worker recognizes the link between theory and practice, and how the two inform each other to culminate in the most effective intervention and most positive outcome for the client. Applying Theory to Generalist Social Work Practice provides students with a roadmap to the full integration of philosophy and application in social work.
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Praise for the First Edition «…complete, up-to-date coverage of computational complexity theory…the book promises to become the standard reference on computational complexity.» -Zentralblatt MATH A thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and applications essential to understanding modern computational complexity theory. The new edition continues to serve as a comprehensive resource on the use of software and computational approaches for solving algorithmic problems and the related difficulties that can be encountered. Maintaining extensive and detailed coverage, Theory of Computational Complexity, Second Edition, examines the theory and methods behind complexity theory, such as computational models, decision tree complexity, circuit complexity, and probabilistic complexity. The Second Edition also features recent developments on areas such as NP-completeness theory, as well as: A new combinatorial proof of the PCP theorem based on the notion of expander graphs, a research area in the field of computer science Additional exercises at varying levels of difficulty to further test comprehension of the presented material End-of-chapter literature reviews that summarize each topic and offer additional sources for further study Theory of Computational Complexity, Second Edition, is an excellent textbook for courses on computational theory and complexity at the graduate level. The book is also a useful reference for practitioners in the fields of computer science, engineering, and mathematics who utilize state-of-the-art software and computational methods to conduct research. A thorough revision based on advances in the field of computational complexity and readers’feedback, the Second Edition of Theory of Computational Complexity presents updates to theprinciples and applications essential to understanding modern computational complexitytheory. The new edition continues to serve as a comprehensive resource on the use of softwareand computational approaches for solving algorithmic problems and the related difficulties thatcan be encountered.Maintaining extensive and detailed coverage, Theory of Computational Complexity, SecondEdition, examines the theory and methods behind complexity theory, such as computationalmodels, decision tree complexity, circuit complexity, and probabilistic complexity. The SecondEdition also features recent dev
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This comprehensive text examines existing and emerging electrical drive technologies. The authors clearly define the most basic electrical drive concepts and go on to explain the most important details while maintaining a solid connection to the theory and design of the associated electrical machines. Also including links to a number of industrial applications, the authors take their investigation of electrical drives beyond theory to examine a number of practical aspects of electrical drive control and application. Key features: * Provides a comprehensive summary of all aspects of controlled-speed electrical drive technology including control and operation. * Handling of electrical drives is solidly linked to the theory and design of the associated electrical machines. Added insight into problems and functions are illustrated with clearly understandable figures. * Offers an understanding of the main phenomena associated with electrical machine drives. * Considers the problem of bearing currents and voltage stresses of an electrical drive. * Includes up-to-date theory and design guidelines, taking into account the most recent advances. This book’s rigorous coverage of theoretical principles and techniques makes for an excellent introduction to controlled-speed electrical drive technologies for Electrical Engineering MSc or PhD students studying electrical drives. It also serves as an excellent reference for practicing electrical engineers looking to carry out design, analyses, and development of controlled-speed electrical drives.
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A collection of scholarly essays, Complexity Theory and the Philosophy of Education provides an accessible theoretical introduction to the topic of complexity theory while considering its broader implications for educational change. Explains the contributions of complexity theory to philosophy of education, curriculum, and educational research Brings together new research by an international team of contributors Debates issues ranging from the culture of curriculum, to the implications of work of key philosophers such as Foucault and John Dewey for educational change Demonstrates how social scientists and social and education policy makers are drawing on complexity theory to answer questions such as: why is it that education decision-makers are so resistant to change; how does change in education happen; and what does it take to make these changes sustainable? Considers changes in use of complexity theory; developed principally in the fields of physics, biology, chemistry, and economics, and now being applied more broadly to the social sciences and to the study of education
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The Wave Concept Iterative Procedure (WCIP) method has found an increasing number of users within electromagnetic theory and applications to planar circuits, antennas and diffraction problems. This book introduces in detail this new formulation of integral methods, based on the use of a wave concept with two bounded operators, and applications in a variety of domains in electromagnetics. This approach presents a number of benefits over other integral methods, including overcoming the problem of singularity, and reduced computing time. Through the presentation of mathematical equations to characterize studied structures and explanation of the curves obtained, via validated examples, the authors provide a thorough background to electromagnetism as well as a professional reference to students and researchers.
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Effective techniques for applying Dynamic Combinatorial Chemistry In a relatively short period, Dynamic Combinatorial Chemistry (DCC) has grown from proof-of-concept experiments in a few isolated labs to a broad conceptual framework with applications to an exceptional range of problems in molecular recognition, lead compound identification, catalyst design, nanotechnology, polymer science, and others. Bringing together a group of respected experts, this overview explains how chemists can apply DCC and fragment-based library methods to lead generation for drug discovery and molecular recognition in bioorganic chemistry and materials science. Chapters cover: Basic theory Approaches to binding in proteins and nucleic acids Molecular recognition Self-sorting Catalyst discovery Materials discovery Analytical chemistry challenges A comprehensive, single-source reference about DCC methods and applications including aspects of fragment-based drug discovery, this is a core reference that will spark the development of new solutions and strategies for chemists building structure libraries and designing compounds and materials.
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A Companion to American Gothic features a collection of original essays that explore America’s gothic literary tradition. The largest collection of essays in the field of American Gothic Contributions from a wide variety of scholars from around the world The most complete coverage of theory, major authors, popular culture and non-print media available
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Mathematical logic grew out of philosophical questions regarding the foundations of mathematics, but logic has now outgrown its philosophical roots, and has become an integral part of mathematics in general.This book is designed for students who plan to specialize in logic, as wellas for those who are interested in the applications of logic to other areas of mathematics. Used as a text, it could form the basis of a beginninggraduate-level course.There are three main chapters:Set Theory, Model Theory, and Recursion Theory.The Set Theory chapter describes the set-theoretic foundations of all of mathematics, based on the ZFC axioms.It also covers technical results about the Axiom of Choice, well-orderings, and the theory of uncountable cardinals.The Model Theory chapter discusses predicate logic and formal proofs, and covers the Completeness, Compactness, and Löwenheim-Skolem Theorems,elementary submodels, model completeness, and applications to algebra.This chapter also continues the foundational issues begun in the set theory chapter.Mathematics can now be viewed as formal proofs from ZFC.Also, model theory leads to models of set theory.This includes a discussion of absoluteness, and an analysis of models such as H(κ) and R(γ).The Recursion Theory chapter develops some basic facts about computable functions, and uses them to prove a number of results of foundational importance; in particular, Church's theorem on the undecidability of logical consequence, the incompleteness...
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An update of a classic textbook covering a core subject taught on most civil engineering courses. Civil Engineering Hydraulics, 6th edition contains substantial worked example sections with an online solutions manual. This classic text provides a succinct introduction to the theory of civil engineering hydraulics, together with a large number of worked examples and exercise problems. Each chapter contains theory sections and worked examples, followed by a list of recommended reading and references. There are further problems as a useful resource for students to tackle, and exercises to enable students to assess their understanding. The numerical answers to these are at the back of the book, and solutions are available to download from the book?s companion website.
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This explication of the major contributions to feminist theory in the late Twentieth Century covers initial articulations of the 'Woman' Problem by Virginia Woolf; and Simone de Beauvoir, Radical Feminism (Kate Millett; Shulamith Firestone; Radicalesbians; Mary Daly), Black Feminism (Audre Lorde; Alice Walker; Patricia Hill Collins), French Feminism (Luce Irigaray; Hélène Cixous; Monique Wittig; Julia Kristeva), Materialist Feminism (Gayle Rubin; Gayatri Chakravorty Spivak), and Queer Theory (Adrienne Rich; Judith Butler; Eve Kosofsky Sedgwick; Wayne Koestenbaum). Jennifer A. Rich is an Associate Professor at Hofstra Uiversity where she offers course in the rhetoric of feminism, theories and history of rhetoric and contemporary understandings of rhetoric. She has published widely in the areas of writing studies, rhetoric, film studies, and Shakespeare, and is the author of An Introduction to Critical Theory in the Humanities Insights series.
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Thanks to Einstein's relativity theories, our notions of space and time underwent profound revisions about a 100 years ago. The resulting interplay between geometry and physics has dominated all of fundamental physics since then. This volume contains contributions from leading researchers, worldwide, who have thought deeply about the nature and consequences of this interplay. The articles take a long-range view of the subject and distill the most important advances in broad terms, making them easily accessible to non-specialists. The first part is devoted to a summary of how relativity theories were born (J Stachel). The second part discusses the most dramatic ramifications of general relativity, such as black holes (P Chrusciel and R Price), space-time singularities (H Nicolai and A Rendall), gravitational waves (P Laguna and P Saulson), the large scale structure of the cosmos (T Padmanabhan); experimental status of this theory (C Will) as well as its practical application to the GPS system (N Ashby). The last part looks beyond Einstein and provides glimpses into what is in store for us in the 21st century. Contributions here include summaries of radical changes in the notions of space and time that are emerging from quantum field theory in curved space-times (Ford), string theory (T Banks), loop quantum gravity (A Ashtekar), quantum cosmology (M Bojowald), discrete approaches (Dowker, Gambini and Pullin) and twistor theory (R Penrose).
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Homotopy is a basic discipline of mathematics having fundamental and various applications to important fields of mathematics. The Journal has a wide scope which ranges from homotopical algebra and algebraic number theory and functional analysis. Diverse algebraic, geometric, topological and categorical structures are closely related to homotopy and the influence of homotopy is found in many fundamental areas of mathematics such as general algebra, algebraic topology, algebraic geometry, category theory, differential geometry, computer science, K-theory, functional analysis, Galois theory ad in physical sciences as well. The J. Homotopy and Related Structures intends to develop its vision on the determining role of homotopy in mathematics. the aim of the Journal is to show the importance, merit and diversity of homotopy in mathematical sciences. The J. Homotopy and Related structures is primarily concerned with publishing carefully refereed significant and original research papers. However a limited number of carefully selected survey and expository papers are also included, and special issues devoted to Proceedings of meetings in the field as well as to Festschrifts.
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Homotopy is a basic discipline of mathematics having fundamental and various applications to important fields of mathematics. The Journal has a wide scope which ranges from homotopical algebra and algebraic number theory and functional analysis. Diverse algebraic, geometric, topological and categorical structures are closely related to homotopy and the influence of homotopy is found in many fundamental areas of mathematics such as general algebra, algebraic topology, algebraic geometry, category theory, differential geometry, computer science, K-theory, functional analysis, Galois theory ad in physical sciences as well. The J. Homotopy and Related Structures intends to develop its vision on the determining role of homotopy in mathematics. the aim of the Journal is to show the importance, merit and diversity of homotopy in mathematical sciences. The J. Homotopy and Related structures is primarily concerned with publishing carefully refereed significant and original research papers. However a limited number of carefully selected survey and expository papers are also included, and special issues devoted to Proceedings of meetings in the field as well as to Festschrifts. Biocultural or biosocial anthropology is a research approach that views biology and culture as dialectically and inextricably intertwined, explicitly emphasizing the dynamic interaction between humans and their larger social, cultural, and physical environments. The biocultural approach emerged in anthropology in the 1960s, matured in the 1980s, and is now one of the dominant paradigms in anthropology, particularly within biological anthropology. This volume gathers contributions from the top scholars in biocultural anthropology focusing on six of the most influential, productive, and important areas of research within biocultural anthropology. These are: critical and synthetic approaches within biocultural anthropology; biocultural approaches to identity, including race and racism; health, diet, and nutrition; infectious disease from antiquity to the modern era; epidemiologic transitions and population dynamics; and inequality and violence studies. Focusing on these six major areas of burgeoning research within biocultural anthropology makes the proposed volume timely, widely applicable and useful to scholars engaging in biocultural research and students interested in the biocultural approach, and synthetic in its coverage of contemporary scholarship in biocultural anthropology. Students will be able to grasp the history of the biocultural approach, and how that history continues to impact scholarship, as well as the scope of current research within the approach, and the foci of biocultural research into the future. Importantly, contributions in the text follow a consistent format of a discussion of method and theory relative to a particular aspect of the above six topics, followed by a case study applying the surveyed method and theory. This structure will engage students by providing real world examples of anthropological issues, and demonstrating how biocultural method and theory can be used to elucidate and resolve them. Key features include: Contributions which span the breadth of approaches and topics within biological anthropology from the insights granted through work with ancient human remains to those granted through collaborative research with contemporary peoples. Comprehensive treatment of diverse topics within biocultural anthropology, from human variation and adaptability to recent disease pandemics, the embodied effects of race and racism, industrialization and the rise of allergy and autoimmune diseases, and the sociopolitics of slavery and torture. Contributions and sections united by thematically cohesive threads. Clear, jargon-free language in a text that is designed to be pedagogically flexible: contributions are written to be both understandable and engaging to both undergraduate and graduate students. Provision of synthetic theory, method and data in each contribution. The use of richly contextualized case studies driven by empirical data. Through case-study driven contributions, each chapter demonstrates how biocultural approaches can be used to better understand and resolve real-world problems and anthropological issues.