Advanced 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 978-1-4297-9992-8.
730+xxviii pages.

A companion volume Basic Algebra, Digital Second Edition, was published in 2016.
It has no ISBN.

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:

• Front cover and whole inside together,
• Clickable version of front cover and inside together.

• 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 version has been changed to "second edition" in the 2016 edition.
• A preface to the second edition has been included, replacing the final paragraph of the preface in the 2015 version.  The name of the preface in the 2015 version has been changed to "Preface to the First Edition" in the 2016 edition.
  
• The length of the front matter has been increased by 2 pages.  In particular, the page numbers of the section "Notation and Terminology" in the front matter have changed from the 2015 version and appropriate changes have been made to the index and to other spots in the text that refer to these pages.
  
• 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.
  
• A systematic error in the left-hand running heads for Chapter II has been corrected.
  
• Mathematical misprints on lines 8 and 9 of page 213 have been fixed in the 2016 edition.
  
• A small number of other typographical errors, about two, have been fixed.