The Absolute Differential Calculus

Calculus of Tensors

Tullio Levi-Civita, Enrico Persico, M. Long

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Italian

Dover Publications Inc.
17 April 2013

Mathematics & Sciences; Calculus & mathematical analysis

Series: Dover Books on Mathema 1.4tics

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Written by a towering figure of twentieth-century mathematics, this classic examines the mathematical background necessary for a grasp of relativity theory. Tullio Levi-Civita provides a thorough treatment of the introductory theories that form the basis for discussions of fundamental quadratic forms and absolute differential calculus, and he further explores physical applications.

Part one opens with considerations of functional determinants and matrices, advancing to systems of total differential equations, linear partial differential equations, algebraic foundations, and a geometrical introduction to theory. The second part addresses covariant differentiation, curvature-related Riemann's symbols and properties, differential quadratic forms of classes zero and one, and intrinsic geometry. The final section focuses on physical applications, covering gravitational equations and general relativity.

By: Tullio Levi-Civita
Translated by: M. Long
Volume editor: Enrico Persico
Imprint: Dover Publications Inc.
Country of Publication: United States
Edition: New edition
Dimensions: Height: 207mm, Width: 137mm, Spine: 22mm
Weight: 490g
ISBN: 9780486634012
ISBN 10: 0486634019
Series: Dover Books on Mathema 1.4tics
Pages: 452
Publication Date: 17 April 2013
Audience: College/higher education , Professional and scholarly , Postgraduate, Research & Scholarly , A / AS level , Undergraduate
Format: Paperback
Publisher's Status: Unspecified