**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 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.

(

**8943**views)

**Abstract Algebra**

by

**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.

(

**5890**views)

**Abstract Algebra: Theory and Applications**

by

**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.

(

**9006**views)

**Abstract Algebra I**

by

**Marcel B. Finan**-

**Arkansas Tech University**

Contents: Concept of a Mapping; Composition; Binary Operations; Composition of Mappings as a Binary Operation; Definition and Examples of Groups; Permutation Groups; Subgroups; Symmetry Groups; Equivalence Relations; The Division Algorithm; etc.

(

**6778**views)