Absolute Differential Calculus (Calculus of Tensors)

by TULLIO LEVI-CIVITA
$52.99

Publisher: DOVER

Publication Date: April 17, 2013

ISBN: 9780486634012

Binding: Paperback

Availability: 10-15 Days

Please note this is the time it takes for stock to reach our warehouse. Please allow a few extra days for delivery.

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.