Download E-books The Absolute Differential Calculus (Calculus of Tensors) (Dover Books on Mathematics) PDF

By Tullio Levi-Civita

Written by means of a towering determine of twentieth-century arithmetic, this vintage examines the mathematical historical past priceless for a clutch of relativity conception. Tullio Levi-Civita offers a radical therapy of the introductory theories that shape the root for discussions of primary quadratic types and absolute differential calculus, and he extra explores actual applications.
Part one opens with concerns of sensible determinants and matrices, advancing to structures of overall differential equations, linear partial differential equations, algebraic foundations, and a geometric advent to idea. the second one half addresses covariant differentiation, curvature-related Riemann's symbols and houses, differential quadratic types of periods 0 and one, and intrinsic geometry. the ultimate part specializes in actual purposes, protecting gravitational equations and basic relativity.

Show description

Read Online or Download The Absolute Differential Calculus (Calculus of Tensors) (Dover Books on Mathematics) PDF

Similar Calculus books

Schaum's Outlines: Laplace Transforms

Complicated Textbooks? ignored Lectures? no longer adequate Time? thankfully for you, there is Schaum's Outlines. greater than forty million scholars have depended on Schaum's to assist them reach the school room and on checks. Schaum's is the most important to quicker studying and better grades in each topic. every one define provides the entire crucial direction details in an easy-to-follow, topic-by-topic structure.

Advanced Calculus Demystified

Your crucial instrument for getting to know complicated CALCULUS drawn to going extra in calculus yet do not the place to start? No challenge! With complicated Calculus Demystified, there is not any restrict to how a lot you'll research. starting with an summary of features of a number of variables and their graphs, this booklet covers the basics, with out spending an excessive amount of time on rigorous proofs.

Introduction to Parallel and Vector Solution of Linear Systems (Frontiers in Computer Science)

Even though the origins of parallel computing return to the final century, it used to be purely within the Nineteen Seventies that parallel and vector desktops grew to become to be had to the medical neighborhood. the 1st of those machines-the sixty four processor llliac IV and the vector desktops equipped by way of Texas tools, keep an eye on info company, after which CRA Y learn Corporation-had a a bit of constrained impression.

Complex Manifolds without Potential Theory: with an appendix on the geometry of characteristic classes (Universitext)

From the experiences of the second one variation: "The new tools of complicated manifold thought are very worthy instruments for investigations in algebraic geometry, complicated functionality thought, differential operators and so forth. The differential geometrical tools of this thought have been constructed primarily below the impression of Professor S.

Extra info for The Absolute Differential Calculus (Calculus of Tensors) (Dover Books on Mathematics)

Show sample text content

Rated 4.97 of 5 – based on 30 votes