An Introduction To The Theory Of Groups
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An Introduction To Algebraic Topology
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Author : Joseph J. Rotman
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
An Introduction To Algebraic Topology written by Joseph J. Rotman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Mathematics categories.
A clear exposition, with exercises, of the basic ideas of algebraic topology. Suitable for a two-semester course at the beginning graduate level, it assumes a knowledge of point set topology and basic algebra. Although categories and functors are introduced early in the text, excessive generality is avoided, and the author explains the geometric or analytic origins of abstract concepts as they are introduced.
An Introduction To The Theory Of Groups
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Author : Joseph J. Rotman
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To The Theory Of Groups written by Joseph J. Rotman and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Anyone who has studied abstract algebra and linear algebra as an undergraduate can understand this book. The first six chapters provide material for a first course, while the rest of the book covers more advanced topics. This revised edition retains the clarity of presentation that was the hallmark of the previous editions. From the reviews: "Rotman has given us a very readable and valuable text, and has shown us many beautiful vistas along his chosen route." --MATHEMATICAL REVIEWS
An Introduction To The Theory Of Groups
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Author : Paul Alexandroff
language : en
Publisher: Courier Corporation
Release Date : 2013-07-24
An Introduction To The Theory Of Groups written by Paul Alexandroff and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-07-24 with Mathematics categories.
This introductory exposition of group theory by an eminent Russian mathematician is particularly suited to undergraduates. Includes a wealth of simple examples, primarily geometrical, and end-of-chapter exercises. 1959 edition.
An Introduction To The Theory Of Groups
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Author : Pavel Sergeevich Aleksandrov
language : en
Publisher:
Release Date : 1965
An Introduction To The Theory Of Groups written by Pavel Sergeevich Aleksandrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Group theory categories.
An Introduction To The Theory Of Groups
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Author : Pavel Sergeevich Aleksandrov
language : en
Publisher:
Release Date : 1965
An Introduction To The Theory Of Groups written by Pavel Sergeevich Aleksandrov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Group theory categories.
An Introduction To The Representation Theory Of Groups
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Author : Emmanuel Kowalski
language : en
Publisher: American Mathematical Society
Release Date : 2014-08-28
An Introduction To The Representation Theory Of Groups written by Emmanuel Kowalski and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-08-28 with Mathematics categories.
Representation theory is an important part of modern mathematics, not only as a subject in its own right but also as a tool for many applications. It provides a means for exploiting symmetry, making it particularly useful in number theory, algebraic geometry, and differential geometry, as well as classical and modern physics. The goal of this book is to present, in a motivated manner, the basic formalism of representation theory as well as some important applications. The style is intended to allow the reader to gain access to the insights and ideas of representation theory--not only to verify that a certain result is true, but also to explain why it is important and why the proof is natural. The presentation emphasizes the fact that the ideas of representation theory appear, sometimes in slightly different ways, in many contexts. Thus the book discusses in some detail the fundamental notions of representation theory for arbitrary groups. It then considers the special case of complex representations of finite groups and discusses the representations of compact groups, in both cases with some important applications. There is a short introduction to algebraic groups as well as an introduction to unitary representations of some noncompact groups. The text includes many exercises and examples.
A Course In The Theory Of Groups
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Author : Derek J.S. Robinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
A Course In The Theory Of Groups written by Derek J.S. Robinson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
" A group is defined by means of the laws of combinations of its symbols," according to a celebrated dictum of Cayley. And this is probably still as good a one-line explanation as any. The concept of a group is surely one of the central ideas of mathematics. Certainly there are a few branches of that science in which groups are not employed implicitly or explicitly. Nor is the use of groups confined to pure mathematics. Quantum theory, molecular and atomic structure, and crystallography are just a few of the areas of science in which the idea of a group as a measure of symmetry has played an important part. The theory of groups is the oldest branch of modern algebra. Its origins are to be found in the work of Joseph Louis Lagrange (1736-1813), Paulo Ruffini (1765-1822), and Evariste Galois (1811-1832) on the theory of algebraic equations. Their groups consisted of permutations of the variables or of the roots of polynomials, and indeed for much of the nineteenth century all groups were finite permutation groups. Nevertheless many of the fundamental ideas of group theory were introduced by these early workers and their successors, Augustin Louis Cauchy (1789-1857), Ludwig Sylow (1832-1918), Camille Jordan (1838-1922) among others. The concept of an abstract group is clearly recognizable in the work of Arthur Cayley (1821-1895) but it did not really win widespread acceptance until Walther von Dyck (1856-1934) introduced presentations of groups.
Groups
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Author : Antonio Machì
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-05
Groups written by Antonio Machì and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-05 with Mathematics categories.
Groups are a means of classification, via the group action on a set, but also the object of a classification. How many groups of a given type are there, and how can they be described? Hölder’s program for attacking this problem in the case of finite groups is a sort of leitmotiv throughout the text. Infinite groups are also considered, with particular attention to logical and decision problems. Abelian, nilpotent and solvable groups are studied both in the finite and infinite case. Permutation groups and are treated in detail; their relationship with Galois theory is often taken into account. The last two chapters deal with the representation theory of finite group and the cohomology theory of groups; the latter with special emphasis on the extension problem. The sections are followed by exercises; hints to the solution are given, and for most of them a complete solution is provided.
Introduction To Group Theory
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Author : Oleg Vladimirovič Bogopolʹskij
language : en
Publisher: European Mathematical Society
Release Date : 2008
Introduction To Group Theory written by Oleg Vladimirovič Bogopolʹskij and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book quickly introduces beginners to general group theory and then focuses on three main themes : finite group theory, including sporadic groups combinatorial and geometric group theory, including the Bass-Serre theory of groups acting on trees the theory of train tracks by Bestvina and Handel for automorphisms of free groups With its many examples, exercises, and full solutions to selected exercises, this text provides a gentle introduction that is ideal for self-study and an excellent preparation for applications. A distinguished feature of the presentation is that algebraic and geometric techniques are balanced. The beautiful theory of train tracks is illustrated by two nontrivial examples. Presupposing only a basic knowledge of algebra, the book is addressed to anyone interested in group theory: from advanced undergraduate and graduate students to specialists.
Introduction To The Theory Of Groups Of Finite Order
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Author : Robert D. Carmichael
language : en
Publisher:
Release Date : 1956
Introduction To The Theory Of Groups Of Finite Order written by Robert D. Carmichael and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Group theory categories.