**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

**Basic Algebra**

by

**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.

(

**2015**views)

**Algebraic Methods**

by

**F. Oggier**-

**Nanyang Technological University**

Contents: Group Theory (Groups and subgroups, The isomorphism theorems); Ring Theory (Rings, ideals and homomorphisms); Field Theory (Field extension and minimal polynomial); Galois Theory (Galois group and fixed fields).

(

**6058**views)

**Abstract Algebra Done Concretely**

by

**Donu Arapura**-

**Purdue University**

This book covers basic abstract algebra. Rather than spending a lot of time on axiomatics and serious theorem proving, the author wanted to spend more time with examples, simple applications and with making scenic detours.

(

**8628**views)

**Abstract Algebra**

by

**John A. Beachy, William D. Blair**-

**Waveland**

This text contains many of the definitions and theorems from the area of mathematics called abstract algebra. It is intended for undergraduates taking an abstract algebra class, as well as for students taking their first graduate algebra course.

(

**26269**views)