Descripción
"An important addition to the mathematical literature ... contains very interesting results not available in other books; written in a plain and clear style, it reads very smoothly." -- Bulletin of the American Mathematical Society
This concise study was the first book to bring together material on the theory of nonassociative algebras, which had previously been scattered throughout the literature. It emphasizes algebras that are, for the most part, finite-dimensional over a field. Written as an introduction for graduate students and other mathematicians meeting the subject for the first time, the treatment's prerequisites include an acquaintance with the fundamentals of abstract and linear algebra.
After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.
Author: Richard D. Schafer
Publisher: Benediction Classics
Published: 11/17/2010
Pages: 72
Binding Type: Paperback
Weight: 0.26lbs
Size: 9.00h x 6.00w x 0.17d
ISBN13: 9781849025904
ISBN10: 1849025908
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra | General
- Mathematics | Algebra | Abstract
This concise study was the first book to bring together material on the theory of nonassociative algebras, which had previously been scattered throughout the literature. It emphasizes algebras that are, for the most part, finite-dimensional over a field. Written as an introduction for graduate students and other mathematicians meeting the subject for the first time, the treatment's prerequisites include an acquaintance with the fundamentals of abstract and linear algebra.
After an introductory chapter, the book explores arbitrary nonassociative algebras and alternative algebras. Subsequent chapters concentrate on Jordan algebras and power-associative algebras. Throughout, an effort has been made to present the basic ideas, techniques, and flavor of what happens when the associative law is not assumed. Many of the proofs are given in complete detail.
Author: Richard D. Schafer
Publisher: Benediction Classics
Published: 11/17/2010
Pages: 72
Binding Type: Paperback
Weight: 0.26lbs
Size: 9.00h x 6.00w x 0.17d
ISBN13: 9781849025904
ISBN10: 1849025908
BISAC Categories:
- Mathematics | Group Theory
- Mathematics | Algebra | General
- Mathematics | Algebra | Abstract
About the Author
Richard D. Schafer (1918-2014) was a Professor of Mathematics at the Massachusetts Institute of Technology from 1959 until his retirement in 1988.
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