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Elements of Tensor Calculus

Author: André Lichnerowicz; J W Leech; D J Newman
Publisher: Dover Publications 2016.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus. Starting with a chapter on vector spaces, Part I explores affine Euclidean  Read more...
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Genre/Form: Electronic books
Mathematics
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: André Lichnerowicz; J W Leech; D J Newman
ISBN: 0486811867 9780486811864
OCLC Number: 947084313
Description: 1 online resource (vii, 142 pages)

Abstract:

This classic introductory text, geared toward undergraduate students of mathematics, is the work of an internationally renowned authority on tensor calculus. The two-part treatment offers a rigorous presentation of tensor calculus as a development of vector analysis as well as discussions of the most important applications of tensor calculus. Starting with a chapter on vector spaces, Part I explores affine Euclidean point spaces, tensor algebra, curvilinear coordinates in Euclidean space, and Riemannian spaces. Part II examines the use of tensors in classical analytical dynamics and details the role of tensors in special relativity theory. The book concludes with a brief presentation of the field equations of general relativity theory.

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