History of Abstract Algebra

• History of Classical Algebra.- History of Group Theory.- History of Ring Theory.- History of Field Theory.- History of Linear Algebra.- Emmy Noether and the Advent of Abstract Algebra.- A Course in Abstract Algebra Inspired by History.- Biographies of Selected Mathematicians.

From the reviews: "This concise history conveniently brings together topics in modern algebra that one might otherwise only find in scattered sources. ... it reflects a deep attention to the mathematics and to how its history can be used to help understand the subject today. ... The author provides an outline of his course in abstract algebra, a course that is intended for teachers of mathematics ... ." (Albert C. Lewis, Mathematical Reviews, Issue 2008 g) "This book gives an overview of the origin and development of the basic ideas of modern abstract algebra. ... In each chapter, the author makes extensive references to relevant literature. The book can be recommended to mathematicians, teachers of mathematics (especially of algebra), historians of the sciences and students, who can find many useful references and ideas for their research, teaching or studies." (EMS Newsletter, September, 2008) "This remarkable book presents both the history of algebra as well as selected detailed biographies of algebraists. ... the origin of important ideas and concepts is presented very skillfully, even in a way such that the development of ideas can be used as a very good textbook for algebra. ... This book combines in relatively few pages non-trivial algebra with detailed historical facts and ideas and should bring the reader a wealth of new insights." (G. Pilz, Internationle Mathematische Nachrichten, Issue 210, 2009)