By Emil de Souza Sánchez Filho
ISBN-10: 3319315196
ISBN-13: 9783319315195
This textbook offers a rigorous method of tensor manifolds in different facets correct for Engineers and Physicists operating in or academia. With an intensive, finished, and unified presentation, this booklet bargains insights into a number of issues of tensor research, which covers all features of n-dimensional spaces.
The major function of this publication is to provide a self-contained but easy, right and accomplished mathematical rationalization of tensor calculus for undergraduate and graduate scholars and for pros. as well as many labored difficulties, this booklet encompasses a number of examples, solved step through step.
Although no emphasis is put on exact and specific difficulties of Engineering or Physics, the textual content covers the basics of those fields of technological know-how. The ebook makes a quick creation into the fundamental inspiration of the tensorial formalism with a view to let the reader to make a short and simple evaluate of the fundamental issues that permit having the grounds for the following issues, without having to hotel to different bibliographical assets on tensors.
Chapter 1 offers with basic thoughts approximately tensors and bankruptcy 2 is dedicated to the learn of covariant, absolute and contravariant derivatives. The chapters three and four are devoted to the crucial Theorems and Differential Operators, respectively. bankruptcy five offers with Riemann areas, and at last the bankruptcy 6 offers a concise learn of the Parallelism of Vectors. It additionally indicates how you can resolve a variety of difficulties of a number of specific manifolds.
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Tensor Calculus for Engineers and Physicists by Emil de Souza Sánchez Filho
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