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Tensor Calculus for Engineers and Physicists (Hardcover, 1st ed. 2016)
Loot Price: R3,071
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Tensor Calculus for Engineers and Physicists (Hardcover, 1st ed. 2016)
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This textbook provides a rigorous approach to tensor manifolds in
several aspects relevant for Engineers and Physicists working in
industry or academia. With a thorough, comprehensive, and unified
presentation, this book offers insights into several topics of
tensor analysis, which covers all aspects of n-dimensional spaces.
The main purpose of this book is to give a self-contained yet
simple, correct and comprehensive mathematical explanation of
tensor calculus for undergraduate and graduate students and for
professionals. In addition to many worked problems, this book
features a selection of examples, solved step by step. Although no
emphasis is placed on special and particular problems of
Engineering or Physics, the text covers the fundamentals of these
fields of science. The book makes a brief introduction into the
basic concept of the tensorial formalism so as to allow the reader
to make a quick and easy review of the essential topics that enable
having the grounds for the subsequent themes, without needing to
resort to other bibliographical sources on tensors. Chapter 1 deals
with Fundamental Concepts about tensors and chapter 2 is devoted to
the study of covariant, absolute and contravariant derivatives. The
chapters 3 and 4 are dedicated to the Integral Theorems and
Differential Operators, respectively. Chapter 5 deals with Riemann
Spaces, and finally the chapter 6 presents a concise study of the
Parallelism of Vectors. It also shows how to solve various problems
of several particular manifolds.
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