Tensor Calculus for Engineers and Physicists

Synopsis

Thistextbook provides a rigorous approach to tensor manifolds in several aspects relevantfor Engineers and Physicists working in industry or academia. With a thorough,comprehensive, and unified presentation, this book offers insights into severaltopics of tensor analysis, which covers all aspects of N dimensional spaces. The mainpurpose of this book is to give a self-contained yet simple, correct andcomprehensive mathematical explanation of tensor calculus for undergraduate andgraduate students and for professionals. In addition to many worked problems,this book features a selection of examples, solved step by step. Although noemphasis is placed on special and particular problems of Engineering orPhysics, the text covers the fundamentals of these fields of science. The bookmakes a brief introduction into the basic concept of the tensorial formalism soas to allow the reader to make a quick and easy review of the essential topicsthat enable having the grounds for the subsequent themes, without needing toresort to other bibliographical sources on tensors. Chapter 1 deals withFundamental Concepts about tensors and chapter 2 is devoted to the study ofcovariant, absolute and contravariant derivatives. The chapters 3 and 4 arededicated to the Integral Theorems and Differential Operators, respectively. Chapter 5 deals with Riemann Spaces, and finally the chapter 6 presents aconcise study of the Parallelism of Vectors. It also shows how to solve variousproblems of several particular manifolds.

Copyright:

2016

Book Details

Book Quality:

Publisher Quality

ISBN-13:

9783319315201

Publisher:

Springer International Publishing, Cham

Date of Addition:

11/02/16

Copyrighted By:

Springer

Adult content:

No

Language:

English

Has Image Descriptions:

No

Categories:

Nonfiction, Mathematics and Statistics

Submitted By:

Bookshare Staff

Usage Restrictions:

This is a copyrighted book.