Book Description
This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.
Author : Gertrude Ehrlich
Publisher : Courier Corporation
Page : 354 pages
File Size : 22,28 MB
Release : 2013-05-13
Category : Mathematics
ISBN : 0486291863
This undergraduate text presents extensive coverage of set theory, groups, rings, modules, vector spaces, and fields. It offers numerous examples, definitions, theorems, proofs, and practice exercises. 1991 edition.
Author : D. S. Malik
Publisher :
Page : 165 pages
File Size : 48,94 MB
Release : 1997
Category : Algebra, Abstract
ISBN : 9780070400368
Author : Richard S Pierce
Publisher : Courier Corporation
Page : 162 pages
File Size : 46,41 MB
Release : 2015-01-21
Category : Mathematics
ISBN : 0486789985
"Suitable for introductory graduate-level courses and independent study, this text presents the basic definitions of the theory of abstract algebra. Following introductory material, each of four chapters focuses on a major theme of universal algebra: subdirect decompositions, direct decompositions, free algebras, and varieties of algebra. Problems and a bibliography supplement the text. "--
Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 50,65 MB
Release : 2010-01-14
Category : Mathematics
ISBN : 0486474178
Accessible but rigorous, this outstanding text encompasses all of the topics covered by a typical course in elementary abstract algebra. Its easy-to-read treatment offers an intuitive approach, featuring informal discussions followed by thematically arranged exercises. This second edition features additional exercises to improve student familiarity with applications. 1990 edition.
Author : Benjamin Fine
Publisher : JHU Press
Page : 583 pages
File Size : 10,40 MB
Release : 2014-07-01
Category : Mathematics
ISBN : 1421411776
A new approach to abstract algebra that eases student anxieties by building on fundamentals. Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: • Rings • Integral domains • The fundamental theorem of arithmetic • Fields • Groups • Lagrange's theorem • Isomorphism theorems for groups • Fundamental theorem of finite abelian groups • The simplicity of An for n5 • Sylow theorems • The Jordan-Hölder theorem • Ring isomorphism theorems • Euclidean domains • Principal ideal domains • The fundamental theorem of algebra • Vector spaces • Algebras • Field extensions: algebraic and transcendental • The fundamental theorem of Galois theory • The insolvability of the quintic
Author : Robert B. Ash
Publisher : Courier Corporation
Page : 434 pages
File Size : 20,62 MB
Release : 2013-06-17
Category : Mathematics
ISBN : 0486318117
Relations between groups and sets, results and methods of abstract algebra in terms of number theory and geometry, and noncommutative and homological algebra. Solutions. 2006 edition.
Author : P. B. Bhattacharya
Publisher : Cambridge University Press
Page : 512 pages
File Size : 18,16 MB
Release : 1994-11-25
Category : Mathematics
ISBN : 9780521466295
This book provides a complete abstract algebra course, enabling instructors to select the topics for use in individual classes.
Author : Derek J.S. Robinson
Publisher : Walter de Gruyter GmbH & Co KG
Page : 348 pages
File Size : 47,54 MB
Release : 2015-05-19
Category : Mathematics
ISBN : 3110340879
This is a high level introduction to abstract algebra which is aimed at readers whose interests lie in mathematics and in the information and physical sciences. In addition to introducing the main concepts of modern algebra, the book contains numerous applications, which are intended to illustrate the concepts and to convince the reader of the utility and relevance of algebra today. In particular applications to Polya coloring theory, latin squares, Steiner systems and error correcting codes are described. Another feature of the book is that group theory and ring theory are carried further than is often done at this level. There is ample material here for a two semester course in abstract algebra. The importance of proof is stressed and rigorous proofs of almost all results are given. But care has been taken to lead the reader through the proofs by gentle stages. There are nearly 400 problems, of varying degrees of difficulty, to test the reader's skill and progress. The book should be suitable for students in the third or fourth year of study at a North American university or in the second or third year at a university in Europe, and should ease the transition to (post)graduate studies.
Author : Seth Warner
Publisher : Courier Corporation
Page : 852 pages
File Size : 20,44 MB
Release : 2012-08-29
Category : Mathematics
ISBN : 0486137090
Standard text provides an exceptionally comprehensive treatment of every aspect of modern algebra. Explores algebraic structures, rings and fields, vector spaces, polynomials, linear operators, much more. Over 1,300 exercises. 1965 edition.
Author : Israel Kleiner
Publisher : Springer Science & Business Media
Page : 175 pages
File Size : 20,38 MB
Release : 2007-10-02
Category : Mathematics
ISBN : 0817646841
This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.