Tensor Algebra And Tensor Analysis For Engineers
DOWNLOAD
Download Tensor Algebra And Tensor Analysis For Engineers PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Tensor Algebra And Tensor Analysis For Engineers book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Tensor Algebra And Tensor Analysis For Engineers
DOWNLOAD
Author : Mikhail Itskov
language : en
Publisher: Springer Nature
Release Date : 2025-09-26
Tensor Algebra And Tensor Analysis For Engineers written by Mikhail Itskov and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-09-26 with Science categories.
This is the sixth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand. In accordance with the contemporary way of scientific publication, a modern absolute tensor notation is preferred throughout. The book provides a comprehensible exposition of the fundamental mathematical concepts of tensor calculus and enriches the presented material with many illustrative examples. In particular, the book discusses such multi-physical topics of solid mechanics as electro- and magnetoelasticity. In addition, advanced chapters dealing with recent developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics are included. This new edition also focuses on numerical aspects of tensor calculus and shows how modern methods of machine learning can be applied to the calculation of tensor functions. Hence, these textbook addresses graduate students as well as scientists working in this field and in particular dealing with interdisciplinary problems. In each chapter numerous exercises are included, allowing for self-study and intense practice. Solutions to the exercises are also provided.
An Introduction To Tensor Analysis For Engineers And Applied Scientists
DOWNLOAD
Author : John R. Tyldesley
language : en
Publisher:
Release Date : 1975
An Introduction To Tensor Analysis For Engineers And Applied Scientists written by John R. Tyldesley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Concepts From Tensor Analysis And Differential Geometry
DOWNLOAD
Author : Tracy Yerkes Thomas
language : en
Publisher:
Release Date : 2013-08
Concepts From Tensor Analysis And Differential Geometry written by Tracy Yerkes Thomas and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-08 with categories.
Tensor Calculus And Differential Geometry For Engineers
DOWNLOAD
Author : Shahab Sahraee
language : en
Publisher: Springer Nature
Release Date : 2023-11-10
Tensor Calculus And Differential Geometry For Engineers written by Shahab Sahraee and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-11-10 with Technology & Engineering categories.
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.
Fundamentals Of Tensor Calculus For Engineers With A Primer On Smooth Manifolds
DOWNLOAD
Author : Uwe Mühlich
language : en
Publisher: Springer
Release Date : 2017-04-18
Fundamentals Of Tensor Calculus For Engineers With A Primer On Smooth Manifolds written by Uwe Mühlich and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-18 with Science categories.
This book presents the fundamentals of modern tensor calculus for students in engineering and applied physics, emphasizing those aspects that are crucial for applying tensor calculus safely in Euclidian space and for grasping the very essence of the smooth manifold concept. After introducing the subject, it provides a brief exposition on point set topology to familiarize readers with the subject, especially with those topics required in later chapters. It then describes the finite dimensional real vector space and its dual, focusing on the usefulness of the latter for encoding duality concepts in physics. Moreover, it introduces tensors as objects that encode linear mappings and discusses affine and Euclidean spaces. Tensor analysis is explored first in Euclidean space, starting from a generalization of the concept of differentiability and proceeding towards concepts such as directional derivative, covariant derivative and integration based on differential forms. The final chapter addresses the role of smooth manifolds in modeling spaces other than Euclidean space, particularly the concepts of smooth atlas and tangent space, which are crucial to understanding the topic. Two of the most important concepts, namely the tangent bundle and the Lie derivative, are subsequently worked out.
Tensor Analysis
DOWNLOAD
Author : Fridtjov Irgens
language : en
Publisher: Springer
Release Date : 2018-12-15
Tensor Analysis written by Fridtjov Irgens and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-15 with Science categories.
This book presents tensors and tensor analysis as primary mathematical tools for engineering and engineering science students and researchers. The discussion is based on the concepts of vectors and vector analysis in three-dimensional Euclidean space, and although it takes the subject matter to an advanced level, the book starts with elementary geometrical vector algebra so that it is suitable as a first introduction to tensors and tensor analysis. Each chapter includes a number of problems for readers to solve, and solutions are provided in an Appendix at the end of the text. Chapter 1 introduces the necessary mathematical foundations for the chapters that follow, while Chapter 2 presents the equations of motions for bodies of continuous material. Chapter 3 offers a general definition of tensors and tensor fields in three-dimensional Euclidean space. Chapter 4 discusses a new family of tensors related to the deformation of continuous material. Chapter 5 then addresses constitutive equations for elastic materials and viscous fluids, which are presented as tensor equations relating the tensor concept of stress to the tensors describing deformation, rate of deformation and rotation. Chapter 6 investigates general coordinate systems in three-dimensional Euclidean space and Chapter 7 shows how the tensor equations discussed in chapters 4 and 5 are presented in general coordinates. Chapter 8 describes surface geometry in three-dimensional Euclidean space, Chapter 9 includes the most common integral theorems in two- and three-dimensional Euclidean space applied in continuum mechanics and mathematical physics.
Tensor Algebra And Analysis For Engineers With Applications To Differential Geometry Of Curves And Surfaces
DOWNLOAD
Author : Paolo Vannucci
language : en
Publisher: World Scientific
Release Date : 2023-02-27
Tensor Algebra And Analysis For Engineers With Applications To Differential Geometry Of Curves And Surfaces written by Paolo Vannucci and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-27 with Mathematics categories.
In modern theoretical and applied mechanics, tensors and differential geometry are two almost essential tools. Unfortunately, in university courses for engineering and mechanics students, these topics are often poorly treated or even completely ignored. At the same time, many existing, very complete texts on tensors or differential geometry are so advanced and written in abstract language that discourage young readers looking for an introduction to these topics specifically oriented to engineering applications.This textbook, mainly addressed to graduate students and young researchers in mechanics, is an attempt to fill the gap. Its aim is to introduce the reader to the modern mathematical tools and language of tensors, with special applications to the differential geometry of curves and surfaces in the Euclidean space. The exposition of the matter is sober, directly oriented to problems that are ordinarily found in mechanics and engineering. Also, the language and symbols are tailored to those usually employed in modern texts of continuum mechanics.Though not exhaustive, as any primer textbook, this volume constitutes a coherent, self-contained introduction to the mathematical tools and results necessary in modern continuum mechanics, concerning vectors, 2nd- and 4th-rank tensors, curves, fields, curvilinear coordinates, and surfaces in the Euclidean space. More than 100 exercises are proposed to the reader, many of them complete the theoretical part through additional results and proofs. To accompany the reader in learning, all the exercises are entirely developed and solved at the end of the book.
Tensor Analysis And Nonlinear Tensor Functions
DOWNLOAD
Author : Yuriy I. Dimitrienko
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-11-30
Tensor Analysis And Nonlinear Tensor Functions written by Yuriy I. Dimitrienko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-11-30 with Mathematics categories.
Tensor Analysis and Nonlinear Tensor Functions embraces the basic fields of tensor calculus: tensor algebra, tensor analysis, tensor description of curves and surfaces, tensor integral calculus, the basis of tensor calculus in Riemannian spaces and affinely connected spaces, - which are used in mechanics and electrodynamics of continua, crystallophysics, quantum chemistry etc. The book suggests a new approach to definition of a tensor in space R3, which allows us to show a geometric representation of a tensor and operations on tensors. Based on this approach, the author gives a mathematically rigorous definition of a tensor as an individual object in arbitrary linear, Riemannian and other spaces for the first time. It is the first book to present a systematized theory of tensor invariants, a theory of nonlinear anisotropic tensor functions and a theory of indifferent tensors describing the physical properties of continua. The book will be useful for students and postgraduates of mathematical, mechanical engineering and physical departments of universities and also for investigators and academic scientists working in continuum mechanics, solid physics, general relativity, crystallophysics, quantum chemistry of solids and material science.
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers
DOWNLOAD
Author : Hung Nguyen-Schäfer
language : en
Publisher: Springer
Release Date : 2014-07-01
Tensor Analysis And Elementary Differential Geometry For Physicists And Engineers written by Hung Nguyen-Schäfer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-01 with Technology & Engineering categories.
Tensors and methods of differential geometry are very useful mathematical tools in many fields of modern physics and computational engineering including relativity physics, electrodynamics, computational fluid dynamics (CFD), continuum mechanics, aero and vibroacoustics and cybernetics. This book comprehensively presents topics, such as bra-ket notation, tensor analysis and elementary differential geometry of a moving surface. Moreover, authors intentionally abstain from giving mathematically rigorous definitions and derivations that are however dealt with as precisely as possible. The reader is provided with hands-on calculations and worked-out examples at which he will learn how to handle the bra-ket notation, tensors and differential geometry and to use them in the physical and engineering world. The target audience primarily comprises graduate students in physics and engineering, research scientists and practicing engineers.
Principles And Applications Of Tensor Analysis
DOWNLOAD
Author : Matthew S Smith
language : en
Publisher:
Release Date : 2012-03-01
Principles And Applications Of Tensor Analysis written by Matthew S Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-01 with categories.