ENGLISH

Tensor spaces and exterior algebra

By Takeo Yokonuma

Book information

Publisher
American Mathematical Society
Year
1992
ISBN
0821827960, 9780821827963
Language
english
Format
DJVU
Filesize
940 kB (962673 bytes)
Series
Translations of Mathematical Monographs
Edition
New Ed
Pages
142\142
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-12-04 00:34:26

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. This book is useful in undergraduate and graduate courses in multilinear algebra. 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.

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