A History of Abstract Algebra

This book explores the history of abstract algebra. It shows how abstract algebra has arisen in attempting to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved.

This presentation provides an account of the history of the basic concepts, results, and theories of abstract algebra. The development of abstract algebra was propelled by the need for new tools to address certain classical problems that appeared unsolvable by classical means. A major theme of the approach in this book is to show how abstract algebra has arisen in attempts to solve some of these classical problems, providing a context from which the reader may gain a deeper appreciation of the mathematics involved. Mathematics instructors, algebraists, and historians of science will find the work a valuable reference. The book may also serve as a supplemental text for courses involving abstract algebra or the history of mathematics.

Excellent reference or supplemental text for a first course in abstract algebra Provides historical context from which the reader may gain a deeper appreciation of the subject Offers suggestions to instructors on ways of integrating the history of abstract algebra into their teaching Each chapter concludes with extensive references to the relevant literature

Inhalt
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.