Click Here to Download: https://ouo.io/vOYdLHY The Absolute Differential Calculus (Calculus of Tensors) By: Tullio Levi-Civita Publisher: Dover Publications Print ISBN: 9780486634012, 0486634019 eText ISBN: 9780486316253, 0486316254 Pages: 452 Format: EPUB Available from $ 27.95 USD SKU 9780486316253 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.
