Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers write by Hung Nguyen-Schäfer. This book was released on 2016-08-16. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers available in PDF, EPUB and Kindle. This book presents tensors and differential geometry in a comprehensive and approachable manner, providing a bridge from the place where physics and engineering mathematics end, and the place where tensor analysis begins. Among the topics examined are tensor analysis, elementary differential geometry of moving surfaces, and k-differential forms. The book includes numerous examples with solutions and concrete calculations, which guide readers through these complex topics step by step. Mindful of the practical needs of engineers and physicists, book favors simplicity over a more rigorous, formal approach. The book shows readers how to work with tensors and differential geometry and how to apply them to modeling the physical and engineering world. The authors provide chapter-length treatment of topics at the intersection of advanced mathematics, and physics and engineering: • General Basis and Bra-Ket Notation • Tensor Analysis • Elementary Differential Geometry • Differential Forms • Applications of Tensors and Differential Geometry • Tensors and Bra-Ket Notation in Quantum Mechanics The text reviews methods and applications in computational fluid dynamics; continuum mechanics; electrodynamics in special relativity; cosmology in the Minkowski four-dimensional space time; and relativistic and non-relativistic quantum mechanics. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers benefits research scientists and practicing engineers in a variety of fields, who use tensor analysis and differential geometry in the context of applied physics, and electrical and mechanical engineering. It will also interest graduate students in applied physics and engineering.
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers
Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers write by Hung Nguyen-Schafer. This book was released on 2014-07-31. Tensor Analysis and Elementary Differential Geometry for Physicists and Engineers available in PDF, EPUB and Kindle.
Tensor Calculus for Engineers and Physicists
Tensor Calculus for Engineers and Physicists - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensor Calculus for Engineers and Physicists write by Emil de Souza Sánchez Filho. This book was released on 2016-05-20. Tensor Calculus for Engineers and Physicists available in PDF, EPUB and Kindle. 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.
Tensor Calculus and Differential Geometry for Engineers
Tensor Calculus and Differential Geometry for Engineers - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensor Calculus and Differential Geometry for Engineers write by Shahab Sahraee. This book was released on 2023-12-12. Tensor Calculus and Differential Geometry for Engineers available in PDF, EPUB and Kindle. The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates. Some recent developments in representation theorems and differential forms are included. The last part of the book presents a detailed introduction to differential geometry of surfaces and curves which is based on tensor calculus. By solving numerous exercises, the reader is equipped to properly understand the theoretical background and derivations. Many solved problems are provided at the end of each chapter for in-depth learning. All derivations in this text are carried out line by line which will help the reader to understand the basic ideas. Each figure in the book includes descriptive text that corresponds with the theoretical derivations to facilitate rapid learning.
Tensor Analysis
Tensor Analysis - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Tensor Analysis write by Leonid P Lebedev. This book was released on 2003-04-24. Tensor Analysis available in PDF, EPUB and Kindle. Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuum description. This concise text offers a straightforward treatment of the subject suitable for the student or practicing engineer. The final chapter introduces the reader to differential geometry, including the elementary theory of curves and surfaces. A well-organized formula list, provided in an appendix, makes the book a very useful reference. A second appendix contains full hints and solutions for the exercises.
