### Basic Algebra, Digital Second Edition

Published by the author, 2016.

Digital version in PDF only, freely distributed, not sold, has no ISBN.

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 of the book in PDF,
- Whole inside of the book in PDF,
- Front cover in JPG.

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 (2/15/2016) -
PDF

Last modified: 3/11/2016