Algebra: Abstract and Concrete
by Frederick M. Goodman
Publisher: Semisimple Press 2015
ISBN/ASIN: 0130673420
ISBN-13: 9780130673428
Number of pages: 587
Description:
This text provides a thorough introduction to "modern" or "abstract" algebra at a level suitable for upper-level undergraduates and beginning graduate students. The book addresses the conventional topics: groups, rings, fields, and linear algebra, with symmetry as a unifying theme. This subject matter is central and ubiquitous in modern mathematics and in applications ranging from quantum physics to digital communications. The required background for using this text is a standard first course in linear algebra. Also included is a brief summary of linear algebra in an appendix to help students review. There are also appendices on sets, logic, mathematical induction, and complex numbers. It might also be useful to recommend a short supplementary text on set theory, logic, and proofs to be used as a reference and aid; several such texts are currently available.
Download or read it online for free here:
Download link
(5.9MB, PDF)
Similar books
Abstract Algebraby J. Mathos, R. Campanha - Wikibooks
This book is on abstract algebra, an advanced set of topics related to algebra, including groups, rings, ideals, fields, and more. Readers of this book are expected to have read and understand Algebra, and Linear Algebra books.
(13300 views)
Basic Algebraby Anthony W. Knapp
Contents: Preliminaries about the Integers, Polynomials, and Matrices; Vector Spaces over Q, R, and C; Inner-Product Spaces; Groups and Group Actions; Theory of a Single Linear Transformation; Multilinear Algebra; Advanced Group Theory; etc.
(11149 views)
Abstract Algebra: Theory and Applicationsby Thomas Judson - Virginia Commonwealth University Mathematics
This text is intended for a one- or two-semester undergraduate course in abstract algebra and covers the traditional theoretical aspects of groups, rings, and fields. Many applications are included, including coding theory and cryptography.
(16976 views)
Elementary Abstract Algebraby W. Edwin Clark - University of South Florida
This book is written as a one semester introduction to abstract algebra. Applications of abstract algebra are not discussed. A certain amount of mathematical maturity, some familiarity with basic set theory, calculus, and linear algebra, is assumed.
(16075 views)