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Mathematics
Group Theory


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Featured Titles in Mathematics - Group Theory
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Love and Math: The Heart of Hidden Reality
Love and Math: The Heart of Hidden Reality
by Edward Frenkel
Publisher Comments
What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, werent even told they existed? Alas, this is how math is taught, and so for most of us it becomes... (read more)

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Annals of Mathematics Studies #83: Automorphic Forms on Adele Groups
Annals of Mathematics Studies #83: Automorphic Forms on Adele Groups
by Stephen S. Gelbart
Publisher Comments
The subject matter of these Notes is the interplay between the theory of automorphic forms and group representations. One goal is to interpret some recent developments in this area, most significantly the theory of Jacquet-Langlands, working out... (read more)

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Classical Topology & Combinatorial G 2ND Edition
Classical Topology & Combinatorial G 2ND Edition
by John Stillwell
Publisher Comments
This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with... (read more)

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New Studies in Economic and Social History #231: Semigroup Theory and Its Applications: Proceedings of the 1994 Conference Commemorating the Work of Alfred H. Clifford
New Studies in Economic and Social History #231: Semigroup Theory and Its Applications: Proceedings of the 1994 Conference Commemorating the Work of Alfred H. Clifford
by A. H. Clifford
Publisher Comments
Survey articles in the area of semigroup theory and its applications.... (read more)

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London Mathematical Society Monographs #27: The Structure of Groups of Prime Power Order
London Mathematical Society Monographs #27: The Structure of Groups of Prime Power Order
by C. R. Leedham-green
Publisher Comments
Includes bibliographical references (p. [318]-321) and indexes.... (read more)

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Noncommutative Geometry & Global Analysis Conference
Noncommutative Geometry & Global Analysis Conference
by Alain Connes
Book News Annotation
The 15 research and review papers explore areas of mathematics that Moscovici (Ohio State U.-Columbus) has contributed significantly to. Among the topics are Dirac cohomology and nilpotent representations of complex groups, the Witt construction in... (read more)

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P-Automorphisms of Finite P-Groups
P-Automorphisms of Finite P-Groups
by Evgenii I. Khukhro
Publisher Comments
Ideal for graduate students and researchers working in group theory and Lie rings.... (read more)

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Abstract and Concrete Categories: The Joy of Cats
Abstract and Concrete Categories: The Joy of Cats
by Jiri Adamek
Synopsis
This up-to-date introductory treatment employs category theory to explore the theory of structures. Its unique approach stresses concrete categories and presents a systematic view of factorization structures. Numerous examples. 1990 edition, updated 2004.... (read more)

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Lie Groups for Pedestrians 2ND Edition
Lie Groups for Pedestrians 2ND Edition
by Harry Lipkin
Publisher Comments
According to the author of this concise, high-level study, physicists often shy away from group theory, perhaps because they are unsure which parts of the subject belong to the physicist and which belong to the mathematician. However, it is possible for... (read more)

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Groups, Rings, Modules (Dover Books on Mathematics)
Groups, Rings, Modules (Dover Books on Mathematics)
by Maurice Auslander
Publisher Comments
This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and... (read more)

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Topics in Geometric Group Theory (Chicago Lectures in Mathematics)
Topics in Geometric Group Theory (Chicago Lectures in Mathematics)
by Pierre De La Harpe
Publisher Comments
Groups as abstract structures were first recognized by mathematicians in the nineteenth century. Groups are, of course, sets given with appropriate "multiplications," and they are often given together with actions on interesting geometric objects. But... (read more)

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Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal Conferences (Trends in Mathematics)
Combinatorial and Geometric Group Theory: Dortmund and Ottawa-Montreal Conferences (Trends in Mathematics)
by Oleg Bogopolski
Publisher Comments
This volume assembles several research papers in all areas of geometric and combinatorial group theory originated in the recent conferences in Dortmund and Ottawa in 2007. It contains high quality refereed articles developping new aspects of these modern... (read more)

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Completely Regular Semigroups (Canadian Mathematical Society Monographs & Advanced Texts)
Completely Regular Semigroups (Canadian Mathematical Society Monographs & Advanced Texts)
by Mario Petrich
Publisher Comments
Present a systematic treatment of completely regular semigroups, from introductory to research level, comprised of preliminaries on lattices, semigroups, varieties, and complete regularity; congruences and relations on the congruence lattice; and... (read more)

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Applications of Symmetry Methods to Partial Differential Equations
Applications of Symmetry Methods to Partial Differential Equations
by George W. Bluman
Publisher Comments
This is an accessible book on advanced symmetry methods for partial differential equations. Topics include conservation laws, local symmetries, higher-order symmetries, contact transformations, delete "adjoint symmetries," Noether's theorem, local... (read more)

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London Mathematical Society Student Texts #73: Groups, Graphs, and Trees: An Introduction to the Geometry of Infinite Groups. John Meier
London Mathematical Society Student Texts #73: Groups, Graphs, and Trees: An Introduction to the Geometry of Infinite Groups. John Meier
by John Meier
Publisher Comments
This outstanding new book presents the modern, geometric approach to group theory, in an accessible and engaging approach to the subject. Topics include group actions, the construction of Cayley graphs, and connections to formal language theory and... (read more)

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Linearity, Symmetry, and Prediction in the Hydrogen Atom (Undergraduate Texts in Mathematics)
Linearity, Symmetry, and Prediction in the Hydrogen Atom (Undergraduate Texts in Mathematics)
by Stephanie F. Singer
Publisher Comments
Concentrates on how to make predictions about the numbers of each kind of basic state of a quantum system from only two ingredients: the symmetry and linear model of quantum mechanics Method has wide applications in crystallography, atomic structure... (read more)

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Computation with Finitely Presented Groups
Computation with Finitely Presented Groups
by Charles C. Sims
Publisher Comments
The book describes methods for working with elements, subgroups, and quotient groups of a finitely presented group. The author emphasizes the connection with fundamental algorithms from theoretical computer science, particularly the theory of automata... (read more)

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Finite-Dimensional Division Algebras Over Fields
Finite-Dimensional Division Algebras Over Fields
by Nathan Jacobson
Publisher Comments
Here, the eminent algebraist, Nathan Jacobsen, concentrates on those algebras that have an involution. Although they appear in many contexts, these algebras first arose in the study of the so-called "multiplication algebras of Riemann matrices". Of... (read more)

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Operations Research/Computer Science Interfaces #53: Advances in Metaheuristics
Operations Research/Computer Science Interfaces #53: Advances in Metaheuristics
by Luca Di Gaspero
Publisher Comments
Metaheuristics have been a very active research topic for more than two decades. During this time many new metaheuristic strategies have been devised, they have been experimentally tested and improved on challenging benchmark problems, and they have... (read more)

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Categories of Commutative Algebras
Categories of Commutative Algebras
by Yves Diers
Publisher Comments
This book studies the universal constructions and properties in categories of commutative algebras, bringing out the specific properties that make commutative algebra and algebraic geometry work. Two universal constructions are presented and used here... (read more)

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