### Basic Algebra, Digital Second Edition

Published by the author, 2016.

Digital version in PDF only, freely distributed, not to be sold.

Distributed by Project Euclid free of charge with ISBN
978-1-4297-9998-0.

736+xxvi pages.

A companion volume * Advanced Algebra, Digital Second Edition,
* was published in 2016.

It has no ISBN.

**Chapter Titles:**

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

Commutative Rings and Their Modules

Fields and Galois Theory

Modules over Noncommutative Rings

Appendix: Background Topics

**Files Available:**

The following files are available at the
download page:
- Front cover and whole inside together,
- Clickable version of front cover and inside together.

Differences between the digital
second edition (2016) and the second printing of the first edition
(2015):

- The front cover has been redone.
- Pages i through iv of the front matter are completely changed
to reflect the changed nature of the volume.
- The term "revised edition" in the 2015 edition has been
changed to "second edition" in the 2016 edition.
- The preface to the revised/second edition has been rewritten.
- The order of the pages in the front matter has been changed,
with the table of contents adjusted appropriately.

- The font has been changed for the next-to-last page before
page 1.

- Several of the figures have been improved so as to be more
visible on a screen.

- The pagebreaks on the last few pages of Chapter X have been
improved.
- A small mathematical error has been fixed on the bottom line
of page 330 of the 2016 edition.
- A small mathematical error has been fixed on lines 21--22 of
page 337 of the 2016 edition.

- A small number of typographical errors, about three, have been
fixed.

**Corrections to the digital second edition:**

A list of corrections appears in the file below.

Corrections (3/28/2023) - PDF

Last modified: 9/1/2023