
Tensor Spaces and Exterior Algebra
Takeo Yokonuma(Author)
American Mathematical Society (Publisher)
Published in January 1993
Book
Hardback
141 pages
978-0-8218-4564-6 (ISBN)
Description
This book explains, as clearly as possible, tensors and such related topics as tensor products of vector spaces, tensor algebras, and exterior algebras. You will appreciate Yokonuma's lucid and methodical treatment of the subject. Tensor Spaces and Exterior Algebra begins with basic notions associated with tensors. To facilitate understanding of the definitions, Yokonuma often presents two or more different ways of describing one object. Next, the properties and applications of tensors are developed, including the classical definition of tensors and the description of relative tensors. Also discussed are the algebraic foundations of tensor calculus and applications of exterior algebra to determinants and to geometry. This book closes with an examination of algebraic systems with bilinear multiplication. In particular, Yokonuma discusses the theory of replicas of Chevalley and several properties of Lie algebras deduced from them.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
College/higher education
Professional and scholarly
Illustrations
illustrations
Dimensions
Height: 255 mm
Width: 180 mm
Weight
489 gr
ISBN-13
978-0-8218-4564-6 (9780821845646)
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Schweitzer Classification