This textbook offers a rigorous method of tensor manifolds in different facets suitable for Engineers and Physicists operating in or academia. With an intensive, entire, and unified presentation, this ebook bargains insights into a number of issues of tensor research, which covers all facets of n-dimensional spaces.
The major objective of this e-book is to provide a self-contained but uncomplicated, right and entire mathematical rationalization of tensor calculus for undergraduate and graduate scholars and for execs. as well as many labored difficulties, this booklet encompasses a number of examples, solved step via step.
even supposing no emphasis is put on designated and specific difficulties of Engineering or Physics, the textual content covers the basics of those fields of technological know-how. The booklet makes a quick creation into the fundamental inspiration of the tensorial formalism for you to enable the reader to make a brief and straightforward overview of the basic issues that permit having the grounds for the following issues, without having to inn to different bibliographical assets on tensors.
Chapter 1 offers with basic suggestions approximately tensors and bankruptcy 2 is dedicated to the examine of covariant, absolute and contravariant derivatives. The chapters three and four are devoted to the vital Theorems and Differential Operators, respectively. bankruptcy five bargains with Riemann areas, and at last the bankruptcy 6 offers a concise examine of the Parallelism of Vectors. It additionally exhibits tips to clear up quite a few difficulties of a number of specific manifolds.
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