Tensor calculus for engineers and ph...
Filho, Emil de Souza Sanchez.

 

  • Tensor calculus for engineers and physicists[electronic resource] /
  • 纪录类型: 书目-语言数据,印刷品 : Monograph/item
    [NT 15000414] null: 515.63
    [NT 47271] Title/Author: Tensor calculus for engineers and physicists/ by Emil de Souza Sanchez Filho.
    作者: Filho, Emil de Souza Sanchez.
    出版者: Cham : : Springer International Publishing :, 2016.
    面页册数: xxix, 345 p. : : ill., digital ;; 24 cm.
    Contained By: Springer eBooks
    标题: Calculus of tensors.
    标题: Engineering.
    标题: Theoretical and Applied Mechanics.
    标题: Mathematical Methods in Physics.
    标题: Mathematical Applications in the Physical Sciences.
    ISBN: 9783319315201
    ISBN: 9783319315195
    [NT 15000228] null: Chapter 1 Fundamental Concepts -- Chapter 2 Covariant, Absolute and Contravariant Differentiation -- Chapter 3 Integral Theorems -- Chapter 4 Differential Operators -- Chapter 5 Riemann Spaces -- Chapter 6 Parallelisms of Vectors.
    [NT 15000229] null: 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.
    电子资源: http://dx.doi.org/10.1007/978-3-319-31520-1
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