Kleiner A History of Abstract Algebra

1. Auflage 2007
ISBN: 978-0-8176-4685-1
Verlag: Birkhäuser Boston
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 168 Seiten, eBook

Prior to the nineteenth century, algebra meant the study of the solution of polynomial equations. By the twentieth century it came to encompass the study of abstract, axiomatic systems such as groups, rings, and fields. 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 in abstract algebra or the history of mathematics.

Zielgruppe

Research

Autoren/Hrsg.

Kleiner, Israel

Inhaltsverzeichnis

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.