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 : 14,82 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 : 26,78 MB
Release : 1997
Category : Algebra, Abstract
ISBN : 9780070400368
Author : Richard S Pierce
Publisher : Courier Corporation
Page : 162 pages
File Size : 17,76 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 : W. E. Deskins
Publisher : Courier Corporation
Page : 660 pages
File Size : 50,58 MB
Release : 2012-05-24
Category : Mathematics
ISBN : 0486158462
Excellent textbook provides undergraduates with an accessible introduction to the basic concepts of abstract algebra and to the analysis of abstract algebraic systems. Features many examples and problems.
Author : Charles C Pinter
Publisher : Courier Corporation
Page : 402 pages
File Size : 31,62 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 : P. B. Bhattacharya
Publisher : Cambridge University Press
Page : 512 pages
File Size : 44,6 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 : Benjamin Fine
Publisher : JHU Press
Page : 583 pages
File Size : 28,77 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 : 22,43 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 : I. N. Herstein
Publisher : Macmillan College
Page : 322 pages
File Size : 48,88 MB
Release : 1990
Category : Mathematics
ISBN :
Author : Gregory T. Lee
Publisher : Springer
Page : 297 pages
File Size : 28,13 MB
Release : 2018-04-13
Category : Mathematics
ISBN : 3319776495
This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields. The first two chapters present preliminary topics such as properties of the integers and equivalence relations. The author then explores the first major algebraic structure, the group, progressing as far as the Sylow theorems and the classification of finite abelian groups. An introduction to ring theory follows, leading to a discussion of fields and polynomials that includes sections on splitting fields and the construction of finite fields. The final part contains applications to public key cryptography as well as classical straightedge and compass constructions. Explaining key topics at a gentle pace, this book is aimed at undergraduate students. It assumes no prior knowledge of the subject and contains over 500 exercises, half of which have detailed solutions provided.