A History of Abstract Algebra

• Corporate Author: SpringerLink (Online service)
• Other Authors: Kleiner, Israel (Editor)
• Format: Electronic eBook
• Language: English
• Published: Boston, MA : Birkhäuser Boston, 2007.
• Subjects: Mathematics.; Algebra.; Commutative algebra.; Commutative rings.; Field theory (Physics).; Group theory.; Matrix theory.; History.; History of Mathematical Sciences.; Group Theory and Generalizations.; Commutative Rings and Algebras.; Field Theory and Polynomials.; Linear and Multilinear Algebras, Matrix Theory.

Prior to the nineteenth century, algebra meant the study of the solution of polynomial equations. By the twentieth century algebra came to encompass the study of abstract, axiomatic systems such as groups, rings, and fields. This presentation provides an account of the intellectual lineage behind ma...

Table of Contents:

• 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.