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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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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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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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London Mathematical Society Student Texts #61: An Introduction to Noncommutative Noetherian Rings
London Mathematical Society Student Texts #61: An Introduction to Noncommutative Noetherian Rings
by K R Goodearl
Publisher Comments
This introduction to noncommutative Noetherian rings is intended to be accessible to anyone with a basic background in algebra. It can be used as a first-year graduate text, or as a self-contained reference. The authors' pedagogic style, with much... (read more)

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The Theory of Groups and Quantum Mechanics
The Theory of Groups and Quantum Mechanics
by Hernamm Weyl
Publisher Comments
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... (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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London Mathematical Society Lecture Note #251: Grobner Bases and Applications
London Mathematical Society Lecture Note #251: Grobner Bases and Applications
by Burchberger Winkler
Publisher Comments
The theory of Gröbner bases, invented by Bruno Buchberger, is a general method by which many fundamental problems in various branches of mathematics and engineering can be solved by structurally simple algorithms. The method is now available in all... (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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Theory of Continuous Groups (08 Edition)
Theory of Continuous Groups (08 Edition)
by Charles Loewner
Publisher Comments
Professor of Mathematics at Stanford University from 1950 until his death in 1968, Charles Loewner occasionally taught as a Visiting Professor at the University of California at Berkeley. After his 1955 course at Berkeley on continuous groups, Loewner's... (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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Commutative Algebra, Vol. 2
Commutative Algebra, Vol. 2
by P. Samuel
Synopsis
From the Preface: topics are: (a) valuation theory; (b) theory of polynomial and power series rings (including generalizations to graded rings and modules); (c) local algebra... the algebro-geometric connections and applications of the purely algebraic... (read more)

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Harmonic Analysis & Representation: Theory for Groups Acting on Homogenous Trees
Harmonic Analysis & Representation: Theory for Groups Acting on Homogenous Trees
by Alessandro Figa-talamanca
Publisher Comments
These notes treat in full detail the theory of representations of the group of automorphisms of a homogeneous tree. The unitary irreducible representations are classified in three types: a continuous series of spherical representations; two special... (read more)

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