Elements of Tensor Calculus

Nonfiction, Science & Nature, Mathematics, Calculus
Cover of the book Elements of Tensor Calculus by A. Lichnerowicz, Dover Publications
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Author: A. Lichnerowicz ISBN: 9780486811864
Publisher: Dover Publications Publication: April 10, 2016
Imprint: Dover Publications Language: English
Author: A. Lichnerowicz
ISBN: 9780486811864
Publisher: Dover Publications
Publication: April 10, 2016
Imprint: Dover Publications
Language: English

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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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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