Cornerstones, Birkhäuser, Boston, 2007. ISBN:
0-8176-4522-5.

730+xxiv pages.

Warning: A second printing of the 2007 first edition appeared in 2015 with many changes. Externally it is identical to the 2007 version, but internally it is close in content to the digital second edition. It can be distinguished at once from the 2007 version by a notation of the date on the copyright page. A discussion of the differences between the digital second edition and the second printing of the first edition may be found here.

A companion volume * Basic Algebra * was published
in its original edition in 2006.

ISBN: 0-8176-3248-4.

ISBN: 0-8176-4533-0 for the two-volume set, * Basic
Algebra * and * Advanced Algebra.
*

There is now a Digital Second Edition of this book. It is available only in electronic form.

** Chapter Titles:**

Transition to Modern Number Theory

Wedderburn-Artin Ring Theory

Brauer Group

Homological Algebra

Three Theorems in Algebraic Number Theory

Reinterpretation with Adeles and Ideles

Infinite Field Extensions

Background for Algebraic Geometry

The Number Theory of Algebraic Curves

Methods of Algebraic Geometry

**
Files Available:**

Index - PDF

**Corrections:**

The final list of corrections to the 2007 version appears in the file
below.

Corrections (11/5/2015) -
PDF

Last modified: 1/26/2016