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Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory

The Psychology of Interpersonal Relationships (Hardcover): Ellen S Berscheid, Pamela C Regan The Psychology of Interpersonal Relationships (Hardcover)
Ellen S Berscheid, Pamela C Regan
R5,287 Discovery Miles 52 870 Ships in 12 - 17 working days

This textbook provides an integrated and organized foundation for students seeking a brief but comprehensive introduction to the field of relationship science. It emphasizes the relationship field's intellectual themes, roots, and milestones; discusses its key constructs and their conceptualizations; describes its methodologies and classic studies; and, most important, presents the theories that have guided relationship scholars and produced the field's major research themes.

CRC Handbook of Lie Group Analysis of Differential Equations, Volume III (Hardcover): Nail H. Ibragimov CRC Handbook of Lie Group Analysis of Differential Equations, Volume III (Hardcover)
Nail H. Ibragimov; Contributions by Robert L. Anderson, Vitaly A. Baikov, Peter J. Olver, Fazal M. Mahomed, …
R4,836 R1,706 Discovery Miles 17 060 Save R3,130 (65%) Ships in 12 - 17 working days

Today Lie group theoretical approach to differential equations has been extended to new situations and has become applicable to the majority of equations that frequently occur in applied sciences. Newly developed theoretical and computational methods are awaiting application. Students and applied scientists are expected to understand these methods. Volume 3 and the accompanying software allow readers to extend their knowledge of computational algebra.
Written by the world's leading experts in the field, this up-to-date sourcebook covers topics such as Lie-BAcklund, conditional and non-classical symmetries, approximate symmetry groups for equations with a small parameter, group analysis of differential equations with distributions, integro-differential equations, recursions, and symbolic software packages. The text provides an ideal introduction to modern group analysis and addresses issues to both beginners and experienced researchers in the application of Lie group methods.

Geometric Transformations (Hardcover, 1st ed. 2022): Razvan Gelca, Ionut Onisor, Carlos Yuzo Shine Geometric Transformations (Hardcover, 1st ed. 2022)
Razvan Gelca, Ionut Onisor, Carlos Yuzo Shine
R1,639 Discovery Miles 16 390 Ships in 12 - 17 working days

This textbook teaches the transformations of plane Euclidean geometry through problems, offering a transformation-based perspective on problems that have appeared in recent years at mathematics competitions around the globe, as well as on some classical examples and theorems. It is based on the combined teaching experience of the authors (coaches of several Mathematical Olympiad teams in Brazil, Romania and the USA) and presents comprehensive theoretical discussions of isometries, homotheties and spiral similarities, and inversions, all illustrated by examples and followed by myriad problems left for the reader to solve. These problems were carefully selected and arranged to introduce students to the topics by gradually moving from basic to expert level. Most of them have appeared in competitions such as Mathematical Olympiads or in mathematical journals aimed at an audience interested in mathematics competitions, while some are fundamental facts of mathematics discussed in the framework of geometric transformations. The book offers a global view of the geometric content of today's mathematics competitions, bringing many new methods and ideas to the attention of the public. Talented high school and middle school students seeking to improve their problem-solving skills can benefit from this book, as well as high school and college instructors who want to add nonstandard questions to their courses. People who enjoy solving elementary math problems as a hobby will also enjoy this work.

The Student's Guide to Social Neuroscience (Paperback, 3rd edition): Jamie Ward The Student's Guide to Social Neuroscience (Paperback, 3rd edition)
Jamie Ward
R1,521 Discovery Miles 15 210 Ships in 9 - 15 working days

Richly illustrated in attractive full-colour and contains pedagogical features such as essay questions, summary and key points, and further reading suggestions is supported by a fully updated companion website, featuring student resources including lecture recordings, multiple choice questions and useful web links, as well as PowerPoint slides for lecturers. The only dedicated textbook on social neuroscience providing a much needed resource for lecturers and students. Suitable for both undergraduate and postgraduate students in psychology and neuroscience from 2nd year to masters level. Relevant courses include social neuroscience, social cognitive neuroscience, the social mind, social cognition, human neuroscience, developmental social neuroscience, etc. The third edition will be updated to reflect the growing volume of evidence and theories in the field and will include additional content on the applications of social neuroscience, social influence, reproducibility issues, and computational approaches. The companion website will include a new test bank.

Lie Algebras with Triangular Decompositions V11 (Hardcover): R.V. Moody Lie Algebras with Triangular Decompositions V11 (Hardcover)
R.V. Moody
R6,304 Discovery Miles 63 040 Ships in 12 - 17 working days

Imparts a self--contained development of the algebraic theory of Kac--Moody algebras, their representations and close relatives----the Virasoro and Heisenberg algebras. Focuses on developing the theory of triangular decompositions and part of the Kac--Moody theory not specific to the affine case. Also covers lattices, and finite root systems, infinite--dimensional theory, Weyl groups and conjugacy theorems.

The Science of Attitudes (Hardcover): Joel. Cooper, Shane Blackman, Kyle Keller The Science of Attitudes (Hardcover)
Joel. Cooper, Shane Blackman, Kyle Keller
R4,376 Discovery Miles 43 760 Ships in 12 - 17 working days

The Science of Attitudes is the first book to integrate classic and modern research in the field of attitudes at a scholarly level. Designed primarily for advanced undergraduates and graduate students, the presentation of research will also be useful for current scholars in all disciplines who are interested in how attitudes are formed and changed. The treatment of attitudes is both thorough and unique, taking a historical approach while simultaneously highlighting contemporary views and controversies. The book traces attitudes research from the inception of scientific study following World War II to the issues and methods of research that are prominent features of today's research. Researchers in the field of attitudes will be particularly interested in classic and modern research on the organization, structure, strength and function of attitudes. Researchers in the field of persuasion will be particularly interested in work on attitude change focusing on propositional and associative learning, metacognition and dynamic theories of dissonance, balance and reactance. The book is designed to present the integration of the properties of the attitude with the dynamic considerations of attitude change. The Science of Attitudes is also the first book on attitudes to devote entire chapters to work on implicit measurements, resistance to persuasion, and social neuroscience.

Social Psychology of Political Polarization (Paperback): Piercarlo Valdesolo, Jesse Graham Social Psychology of Political Polarization (Paperback)
Piercarlo Valdesolo, Jesse Graham
R1,626 Discovery Miles 16 260 Ships in 12 - 17 working days

The 21st-century political landscape has been defined by deep ideological polarization, and as a result scientific inquiry into the psychological mechanisms underlying this divide has taken on increased relevance. The topic is by no means new to social psychology. Classic literature on intergroup conflict shows how pervasive and intractable these group conflicts can be, how readily they can emerge from even minimal group identities, and the hedonic rewards reaped from adopting an "us vs. them" perspective. Indeed, this literature paints a bleak picture for the efficacy of any interventions geared toward reducing intergroup discord. But advances in the psychology of moral judgments and behavior, in particular greater understanding of how moral concerns might inform the creation and stability of political identities, offer new ways forward in understanding partisan divides. This volume brings together leading researchers in moral and political psychology, offering new perspectives on the moral roots of political ideology, and exciting new opportunities for the development of more effective applied interventions.

Close Relationships - Key Readings (Paperback, New edition): Harry T Reis, Caryl E. Rusbult Close Relationships - Key Readings (Paperback, New edition)
Harry T Reis, Caryl E. Rusbult
R1,744 Discovery Miles 17 440 Ships in 12 - 17 working days

The study of close relationships is both a central topic in social psychology, and also one of the most dynamic and exciting. Each chapter in this reader is written by leading scholars in the area of relationships. Together, they reflect the diversity of the field and include both contemporary and key historical papers to give comprehensive coverage of social psychological research into the processes that govern the many relationships that are so central to our lives. Topics covered include relationship initiation and attraction, relationship development, cognition and emotion in ongoing relationships, interdependence, and relationship maintenance and deterioration. The volume also contains an introductory chapter by the editors, which sets the subject in its historical context, as well as reviewing the current state of knowledge in the field. Section introductions, discussion questions, suggestions for further reading and comprehensive indexes make this an ideal, user-friendly text for senior undergraduates and graduates in courses on close relationships.

Group Theory - Birdtracks, Lie's, and Exceptional Groups (Paperback): Predrag Cvitanovic Group Theory - Birdtracks, Lie's, and Exceptional Groups (Paperback)
Predrag Cvitanovic
R1,248 Discovery Miles 12 480 Ships in 12 - 17 working days

If classical Lie groups preserve bilinear vector norms, what Lie groups preserve trilinear, quadrilinear, and higher order invariants? Answering this question from a fresh and original perspective, Predrag Cvitanovic takes the reader on the amazing, four-thousand-diagram journey through the theory of Lie groups. This book is the first to systematically develop, explain, and apply diagrammatic projection operators to construct all semi-simple Lie algebras, both classical and exceptional. The invariant tensors are presented in a somewhat unconventional, but in recent years widely used, "birdtracks" notation inspired by the Feynman diagrams of quantum field theory. Notably, invariant tensor diagrams replace algebraic reasoning in carrying out all group-theoretic computations. The diagrammatic approach is particularly effective in evaluating complicated coefficients and group weights, and revealing symmetries hidden by conventional algebraic or index notations. The book covers most topics needed in applications from this new perspective: permutations, Young projection operators, spinorial representations, Casimir operators, and Dynkin indices. Beyond this well-traveled territory, more exotic vistas open up, such as "negative dimensional" relations between various groups and their representations. The most intriguing result of classifying primitive invariants is the emergence of all exceptional Lie groups in a single family, and the attendant pattern of exceptional and classical Lie groups, the so-called Magic Triangle. Written in a lively and personable style, the book is aimed at researchers and graduate students in theoretical physics and mathematics.

String-Net Construction of RCFT Correlators (Paperback, 1st ed. 2022): Jurgen Fuchs, Christoph Schweigert, Yang Yang String-Net Construction of RCFT Correlators (Paperback, 1st ed. 2022)
Jurgen Fuchs, Christoph Schweigert, Yang Yang
R1,348 Discovery Miles 13 480 Ships in 10 - 15 working days

This book studies using string-net models to accomplish a direct, purely two-dimensional, approach to correlators of two-dimensional rational conformal field theories. The authors obtain concise geometric expressions for the objects describing bulk and boundary fields in terms of idempotents in the cylinder category of the underlying modular fusion category, comprising more general classes of fields than is standard in the literature. Combining these idempotents with Frobenius graphs on the world sheet yields string nets that form a consistent system of correlators, i.e. a system of invariants under appropriate mapping class groups that are compatible with factorization. The authors extract operator products of field objects from specific correlators; the resulting operator products are natural algebraic expressions that make sense beyond semisimplicity. They also derive an Eckmann-Hilton relation internal to a braided category, thereby demonstrating the utility of string nets for understanding algebra in braided tensor categories. Finally, they introduce the notion of a universal correlator. This systematizes the treatment of situations in which different world sheets have the same correlator and allows for the definition of a more comprehensive mapping class group.

Introduction to Approximate Groups (Paperback): Matthew C. H. Tointon Introduction to Approximate Groups (Paperback)
Matthew C. H. Tointon
R712 Discovery Miles 7 120 Ships in 12 - 17 working days

Approximate groups have shot to prominence in recent years, driven both by rapid progress in the field itself and by a varied and expanding range of applications. This text collects, for the first time in book form, the main concepts and techniques into a single, self-contained introduction. The author presents a number of recent developments in the field, including an exposition of his recent result classifying nilpotent approximate groups. The book also features a considerable amount of previously unpublished material, as well as numerous exercises and motivating examples. It closes with a substantial chapter on applications, including an exposition of Breuillard, Green and Tao's celebrated approximate-group proof of Gromov's theorem on groups of polynomial growth. Written by an author who is at the forefront of both researching and teaching this topic, this text will be useful to advanced students and to researchers working in approximate groups and related areas.

Elements of Molecular Symmetry (Hardcover): Y. Ohrn Elements of Molecular Symmetry (Hardcover)
Y. Ohrn
R4,462 Discovery Miles 44 620 Ships in 12 - 17 working days

A unique, much-needed introduction to molecular symmetry and group theory Elements of Molecular Symmetry takes the topic of group theory a step further than most books, presenting a quantum chemistry treatment useful for computational, quantum, physical, and inorganic chemists alike. Clearly explaining how general groups and group algebra describe molecules, Yngve Ahrn first develops the theory, then provides coverage not only for point groups, but also permutation groups, space groups, and Lie groups. With over three decades of teaching experience, Dr. Ahrn brings to the discussion unprecedented depth and clarity, incorporating rigorous topics at a level accessible to anyone with basic knowledge of calculus and algebra. This unique and timely book:
* Extends coverage to molecular orbital theory,
* Utilizes powerful examples to illustrate basic concepts
* Contains introductory material on space groups and continuous groups, including point-group character tables
* Provides a solid background for exploring the theoretical literature

Symmetry - A Mathematical Exploration (Hardcover, 2nd ed. 2021): Kristopher Tapp Symmetry - A Mathematical Exploration (Hardcover, 2nd ed. 2021)
Kristopher Tapp
R1,340 R1,271 Discovery Miles 12 710 Save R69 (5%) Ships in 9 - 15 working days

This textbook is perfect for a math course for non-math majors, with the goal of encouraging effective analytical thinking and exposing students to elegant mathematical ideas. It includes many topics commonly found in sampler courses, like Platonic solids, Euler's formula, irrational numbers, countable sets, permutations, and a proof of the Pythagorean Theorem. All of these topics serve a single compelling goal: understanding the mathematical patterns underlying the symmetry that we observe in the physical world around us. The exposition is engaging, precise and rigorous. The theorems are visually motivated with intuitive proofs appropriate for the intended audience. Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.

Hardy Inequalities on Homogeneous Groups - 100 Years of Hardy Inequalities (Hardcover, 1st ed. 2019): Michael Ruzhansky,... Hardy Inequalities on Homogeneous Groups - 100 Years of Hardy Inequalities (Hardcover, 1st ed. 2019)
Michael Ruzhansky, Durvudkhan Suragan
R1,518 R1,366 Discovery Miles 13 660 Save R152 (10%) Ships in 12 - 17 working days

This open access book provides an extensive treatment of Hardy inequalities and closely related topics from the point of view of Folland and Stein's homogeneous (Lie) groups. The place where Hardy inequalities and homogeneous groups meet is a beautiful area of mathematics with links to many other subjects. While describing the general theory of Hardy, Rellich, Caffarelli-Kohn-Nirenberg, Sobolev, and other inequalities in the setting of general homogeneous groups, the authors pay particular attention to the special class of stratified groups. In this environment, the theory of Hardy inequalities becomes intricately intertwined with the properties of sub-Laplacians and subelliptic partial differential equations. These topics constitute the core of this book and they are complemented by additional, closely related topics such as uncertainty principles, function spaces on homogeneous groups, the potential theory for stratified groups, and the potential theory for general Hoermander's sums of squares and their fundamental solutions. This monograph is the winner of the 2018 Ferran Sunyer i Balaguer Prize, a prestigious award for books of expository nature presenting the latest developments in an active area of research in mathematics. As can be attested as the winner of such an award, it is a vital contribution to literature of analysis not only because it presents a detailed account of the recent developments in the field, but also because the book is accessible to anyone with a basic level of understanding of analysis. Undergraduate and graduate students as well as researchers from any field of mathematical and physical sciences related to analysis involving functional inequalities or analysis of homogeneous groups will find the text beneficial to deepen their understanding.

Groups and Symmetry (Hardcover, 1st ed. 1988. Corr. 2nd printing 1997): Mark A. Armstrong Groups and Symmetry (Hardcover, 1st ed. 1988. Corr. 2nd printing 1997)
Mark A. Armstrong
R1,375 R1,305 Discovery Miles 13 050 Save R70 (5%) Ships in 9 - 15 working days

Groups are important because they measure symmetry. This text, designed for undergraduate mathematics students, provides a gentle introduction to the vocabulary and many of the highlights of elementary group theory. Written in an informal style, the material is divided into short sections, each of which deals with an important result or a new idea. Throughout the book, emphasis is placed on concrete examples, often geometrical in nature, so that finite rotation groups and the 17 wallpaper groups are treated in detail alongside theoretical results such as Lagrange's theorem, the Sylow theorems, and the classification theorem for finitely generated abelian groups. A novel feature at this level is a proof of the Nielsen-Schreier theorem, using groups actions on trees. There are more than 300 exercises and approximately 60 illustrations to help develop the student's intuition.

Differentiable Manifolds - A Theoretical Physics Approach (Hardcover, 2nd ed. 2020): Gerardo F. Torres del Castillo Differentiable Manifolds - A Theoretical Physics Approach (Hardcover, 2nd ed. 2020)
Gerardo F. Torres del Castillo
R2,240 Discovery Miles 22 400 Ships in 10 - 15 working days

This textbook delves into the theory behind differentiable manifolds while exploring various physics applications along the way. Included throughout the book are a collection of exercises of varying degrees of difficulty. Differentiable Manifolds is intended for graduate students and researchers interested in a theoretical physics approach to the subject. Prerequisites include multivariable calculus, linear algebra, and differential equations and a basic knowledge of analytical mechanics.

Lie Algebras and Locally Compact Groups (Paperback): Irving Kaplansky Lie Algebras and Locally Compact Groups (Paperback)
Irving Kaplansky
R1,332 Discovery Miles 13 320 Ships in 12 - 17 working days

This volume presents lecture notes based on the author's courses on Lie algebras and the solution of Hilbert's fifth problem. In chapter 1, "Lie Algebras," the structure theory of semi-simple Lie algebras in characteristic zero is presented, following the ideas of Killing and Cartan. Chapter 2, "The Structure of Locally Compact Groups," deals with the solution of Hilbert's fifth problem given by Gleason, Montgomery, and Zipplin in 1952.

The Bounded and Precise Word Problems for Presentations of Groups (Paperback): S. V Ivanov The Bounded and Precise Word Problems for Presentations of Groups (Paperback)
S. V Ivanov
R2,121 Discovery Miles 21 210 Ships in 12 - 17 working days

The author introduces and studies the bounded word problem and the precise word problem for groups given by means of generators and defining relations. For example, for every finitely presented group, the bounded word problem is in NP, i.e., it can be solved in nondeterministic polynomial time, and the precise word problem is in PSPACE, i.e., it can be solved in polynomial space. The main technical result of the paper states that, for certain finite presentations of groups, which include the Baumslag-Solitar one-relator groups and free products of cyclic groups, the bounded word problem and the precise word problem can be solved in polylogarithmic space. As consequences of developed techniques that can be described as calculus of brackets, the author obtains polylogarithmic space bounds for the computational complexity of the diagram problem for free groups, for the width problem for elements of free groups, and for computation of the area defined by polygonal singular closed curves in the plane. The author also obtains polynomial time bounds for these problems.

Diversity and Complexity (Paperback): Scott Page Diversity and Complexity (Paperback)
Scott Page
R662 R570 Discovery Miles 5 700 Save R92 (14%) Ships in 12 - 17 working days

This book provides an introduction to the role of diversity in complex adaptive systems. A complex system--such as an economy or a tropical ecosystem--consists of interacting adaptive entities that produce dynamic patterns and structures. Diversity plays a different role in a complex system than it does in an equilibrium system, where it often merely produces variation around the mean for performance measures. In complex adaptive systems, diversity makes fundamental contributions to system performance.

Scott Page gives a concise primer on how diversity happens, how it is maintained, and how it affects complex systems. He explains how diversity underpins system level robustness, allowing for multiple responses to external shocks and internal adaptations; how it provides the seeds for large events by creating outliers that fuel tipping points; and how it drives novelty and innovation. Page looks at the different kinds of diversity--variations within and across types, and distinct community compositions and interaction structures--and covers the evolution of diversity within complex systems and the factors that determine the amount of maintained diversity within a system.Provides a concise and accessible introduction Shows how diversity underpins robustness and fuels tipping points Covers all types of diversity The essential primer on diversity in complex adaptive systems

Office Hours with a Geometric Group Theorist (Paperback): Matt Clay, Dan Margalit Office Hours with a Geometric Group Theorist (Paperback)
Matt Clay, Dan Margalit
R1,360 R1,164 Discovery Miles 11 640 Save R196 (14%) Ships in 12 - 17 working days

Geometric group theory is the study of the interplay between groups and the spaces they act on, and has its roots in the works of Henri Poincare, Felix Klein, J.H.C. Whitehead, and Max Dehn. Office Hours with a Geometric Group Theorist brings together leading experts who provide one-on-one instruction on key topics in this exciting and relatively new field of mathematics. It's like having office hours with your most trusted math professors. An essential primer for undergraduates making the leap to graduate work, the book begins with free groups--actions of free groups on trees, algorithmic questions about free groups, the ping-pong lemma, and automorphisms of free groups. It goes on to cover several large-scale geometric invariants of groups, including quasi-isometry groups, Dehn functions, Gromov hyperbolicity, and asymptotic dimension. It also delves into important examples of groups, such as Coxeter groups, Thompson's groups, right-angled Artin groups, lamplighter groups, mapping class groups, and braid groups. The tone is conversational throughout, and the instruction is driven by examples. Accessible to students who have taken a first course in abstract algebra, Office Hours with a Geometric Group Theorist also features numerous exercises and in-depth projects designed to engage readers and provide jumping-off points for research projects.

Introduction To Commutative Algebra (Paperback, New edition): Michael Atiyah Introduction To Commutative Algebra (Paperback, New edition)
Michael Atiyah
R2,188 Discovery Miles 21 880 Ships in 12 - 17 working days

This book grew out of a course of lectures given to third year undergraduates at Oxford University and it has the modest aim of producing a rapid introduction to the subject. It is designed to be read by students who have had a first elementary course in general algebra. On the other hand, it is not intended as a substitute for the more voluminous tracts such as Zariski-Samuel or Bourbaki. We have concentrated on certain central topics, and large areas, such as field theory, are not touched. In content we cover rather more ground than Northcott and our treatment is substantially different in that, following the modern trend, we put more emphasis on modules and localization.

Analytic Aspects of Convexity (Hardcover, 1st ed. 2018): Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi Analytic Aspects of Convexity (Hardcover, 1st ed. 2018)
Gabriele Bianchi, Andrea Colesanti, Paolo Gronchi
R2,164 Discovery Miles 21 640 Ships in 12 - 17 working days

This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world's leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis.

Groups - Modular Mathematics Series (Paperback): Camilla Jordan, David Jordan Groups - Modular Mathematics Series (Paperback)
Camilla Jordan, David Jordan
R1,155 R1,090 Discovery Miles 10 900 Save R65 (6%) Ships in 12 - 17 working days

This text provides an introduction to group theory with an emphasis on clear examples. The authors present groups as naturally occurring structures arising from symmetry in geometrical figures and other mathematical objects. Written in a 'user-friendly' style, where new ideas are always motivated before being fully introduced, the text will help readers to gain confidence and skill in handling group theory notation before progressing on to applying it in complex situations. An ideal companion to any first or second year course on the topic.

Contemporary Abstract Algebra (Hardcover, 10th edition): Joseph Gallian Contemporary Abstract Algebra (Hardcover, 10th edition)
Joseph Gallian
R2,581 Discovery Miles 25 810 Ships in 9 - 15 working days

Contemporary Abstract Algebra, Tenth Edition For more than three decades, this classic text has been widely appreciated by instructors and students alike. The book offers an enjoyable read and conveys and develops enthusiasm for the beauty of the topics presented. It is comprehensive, lively, and engaging. The author presents the concepts and methodologies of contemporary abstract algebra as used by working mathematicians, computer scientists, physicists, and chemists. Students will learn how to do computations and to write proofs. A unique feature of the book are exercises that build the skill of generalizing, a skill that students should develop but rarely do. Applications are included to illustrate the utility of the abstract concepts. Examples and exercises are the heart of the book. Examples elucidate the definitions, theorems, and proof techniques; exercises facilitate understanding, provide insight, and develop the ability to do proofs. The exercises often foreshadow definitions, concepts, and theorems to come. Changes for the tenth edition include new exercises, new examples, new quotes, and a freshening of the discussion portions. The hallmark features of previous editions of the book are enhanced in this edition. These include: * A good mixture of approximately 1900 computational and theoretical exercises, including computer exercises, that synthesize concepts from multiple chapters * Approximately 300 worked-out examples from routine computations to the challenging * Many applications from scientific and computing fields and everyday life * Historical notes and biographies that spotlight people and events * Motivational and humorous quotations * Numerous connections to number theory and geometry While many partial solutions and sketches for the odd-numbered exercises appear in the book, an Instructor's Solutions Manual written by the author has comprehensive solutions for all exercises and some alternative solutions to develop a critical thought and deeper understanding. It is available from CRC Press only. The Student Solution Manual has comprehensive solutions for all odd-numbered exercises and many even-numbered exercises. Author Joseph A. Gallian earned his PhD from Notre Dame. In addition to receiving numerous national awards for his teaching and exposition, he has served terms as the Second Vice President, and the President of the MAA. He has served on 40 national committees, chairing ten of them. He has published over 100 articles and authored six books. Numerous articles about his work have appeared in the national news outlets, including the New York Times, the Washington Post, the Boston Globe, and Newsweek, among many others.

Groups St Andrews 2017 in Birmingham (Paperback): C. M. Campbell, C W Parker, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal Groups St Andrews 2017 in Birmingham (Paperback)
C. M. Campbell, C W Parker, M. R. Quick, E. F. Robertson, C. M. Roney-Dougal
R2,725 Discovery Miles 27 250 Ships in 12 - 17 working days

Every four years leading researchers gather to survey the latest developments in all aspects of group theory. Initially held in St Andrews, these meetings have become the premier forum for group theory across the whole of the UK. Since 1981, the proceedings of 'Groups St Andrews' have provided a regular snapshot of the state-of-the-art in group theory and helped to shape the direction of research in the field. This volume contains papers from the 2017 meeting held in Birmingham. It includes expository articles from the invited speakers, and further surveys contributed by the participants. Topics include: generation of finite simple groups, block theory, fusion systems, algebraic groups, one-relator groups, geometric group theory, and Beauville groups.

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