EAN: 9783319315195

TENSOR CALCULUS FOR ENGINEERS AND PHYSICISTS - ...

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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