Tensor Calculus for Engineers and Physicists

Tensor Calculus for Engineers and Physicists
Springer | Mechanics Textbook | June 21, 2016 | ISBN-10: 3319315196 | 345 pages | pdf | 4.17 mb

Authors: de Souza Sánchez Filho, Emil

Presents concepts in a straightforward way, while maintaining a great level of rigor
Provides 56 solved exercises and a select set of unsolved problems with answers
Presents a didactic and concise text suited to undergraduate and graduate students
Enriches understanding of tensor calculus applied to all technical sciences and engineering disciplines, providing the reader with complete illustrations that supplement the presented concepts

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.

Number of Illustrations and Tables

60 b/w illustrations

Topics

Theoretical and Applied Mechanics

Mathematical Methods in Physics

Mathematical Applications in the Physical Sciences

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Essential Calculus: Early Transcendentals (2nd edition) (Repost)

Essential Calculus: Early Transcendentals (2nd edition) By James Stewart
2012 | 912 Pages | ISBN: 1133112285 | PDF | 26 MB

This book is for instructors who think that most calculus textbooks are too long. In writing the book, James Stewart asked himself: What is essential for a three-semester calculus course for scientists and engineers? ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS, Second Edition, offers a concise approach to teaching calculus that focuses on major concepts, and supports those concepts with precise definitions, patient explanations, and carefully graded problems. The book is only 900 pages–two-thirds the size of Stewart’s other calculus texts, and yet it contains almost all of the same topics. Despite the more compact size, the book has a modern flavor, covering technology and incorporating material to promote conceptual understanding, though not as prominently as in Stewart’s other books. ESSENTIAL CALCULUS: EARLY TRANSCENDENTALS features the same attention to detail, eye for innovation, and meticulous accuracy that have made Stewart’s textbooks the best-selling calculus texts in the world.