Tensors
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Tensors For Physics
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Author : Siegfried Hess
language : en
Publisher: Springer
Release Date : 2015-04-25
Tensors For Physics written by Siegfried Hess and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-04-25 with Science categories.
This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.
Tensors
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Author : Anadi Jiban Das
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-10-05
Tensors written by Anadi Jiban Das 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 2007-10-05 with Science categories.
Here is a modern introduction to the theory of tensor algebra and tensor analysis. It discusses tensor algebra and introduces differential manifold. Coverage also details tensor analysis, differential forms, connection forms, and curvature tensor. In addition, the book investigates Riemannian and pseudo-Riemannian manifolds in great detail. Throughout, examples and problems are furnished from the theory of relativity and continuum mechanics.
From Vectors To Tensors
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Author : Juan R. Ruiz-Tolosa
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-12-08
From Vectors To Tensors written by Juan R. Ruiz-Tolosa 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 2005-12-08 with Computers categories.
It is true that there exist many books dedicated to linear algebra and some what fewer to multilinear algebra, written in several languages, and perhaps one can think that no more books are needed. However, it is also true that in algebra many new results are continuously appearing, different points of view can be used to see the mathematical objects and their associated structures, and different orientations can be selected to present the material, and all of them deserve publication. Under the leadership of Juan Ramon Ruiz-Tolosa, Professor of multilin ear algebra, and the collaboration of Enrique Castillo, Professor of applied mathematics, both teaching at an engineering school in Santander, a tensor textbook has been born, written from a practical point of view and free from the esoteric language typical of treatises written by algebraists, who are not interested in descending to numerical details. The balance between follow ing this line and keeping the rigor of classical theoretical treatises has been maintained throughout this book. The book assumes a certain knowledge of linear algebra, and is intended as a textbook for graduate and postgraduate students and also as a consultation book. It is addressed to mathematicians, physicists, engineers, and applied scientists with a practical orientation who are looking for powerful tensor tools to solve their problems.
Vector And Tensor Analysis With Applications
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Author : Aleksandr Ivanovich Borisenko
language : en
Publisher: Courier Corporation
Release Date : 1968-01-01
Vector And Tensor Analysis With Applications written by Aleksandr Ivanovich Borisenko and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968-01-01 with Mathematics categories.
Concise, readable text ranges from definition of vectors and discussion of algebraic operations on vectors to the concept of tensor and algebraic operations on tensors. Worked-out problems and solutions. 1968 edition.
From Vectors To Tensors
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Author : Juan R. Ruiz-Tolosa
language : en
Publisher: Springer Science & Business Media
Release Date : 2004-11-29
From Vectors To Tensors written by Juan R. Ruiz-Tolosa 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 2004-11-29 with Computers categories.
This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the transposer tensor, the eigentensors, and the permutation tensor structure. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. A complementary computer package, written in Mathematica, is available through the Internet.
The Very Basics Of Tensors
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Author : Nils K. Oeijord
language : en
Publisher: iUniverse
Release Date : 2005-05-25
The Very Basics Of Tensors written by Nils K. Oeijord and has been published by iUniverse this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-05-25 with Mathematics categories.
Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of any particular coordinate system used in describing them. This requirement leads to tensor calculus. The only prerequisites for reading this book are a familiarity with calculus (including vector calculus) and linear algebra, and some knowledge of differential equations.
What Are Tensors Exactly
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Author : Hongyu Guo
language : en
Publisher:
Release Date : 2021-06-08
What Are Tensors Exactly written by Hongyu Guo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-08 with Engineering categories.
The Association of Southeast Asian Nations (ASEAN) has been one of the world's most dynamic and fastest-growing regions over the years. Its average combined GDP growth rate is more than 6% and the total combined GDP was valued at US$3.0 trillion in 2018. ASEAN countries have managed to significantly reduce their national poverty over the last few decades. Although a correlation exists between economic growth and poverty reduction, millions of people in ASEAN countries still do not have sufficient incomes to fulfill their basic needs including food, shelter, clothes and sanitation. This book is a collection of working group papers contributed by members of Network of ASEAN-China Think-tanks (NACT) and covers best practices on poverty alleviation in ASEAN member states as well as in China, and ASEAN-China cooperation. It discusses experiences of ASEAN member states and China such as with regard to national policies, principles, definitions, approaches, progress, and challenges in poverty reduction. It reviews and evaluates the way forward including existing joint projects, opportunities, and challenges in the future cooperation and offers policy recommendations from both national and regional perspectives to help policymakers better cope with the daunting poverty challenges.
Tensors Differential Forms And Variational Principles
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Author : David Lovelock
language : en
Publisher: Courier Corporation
Release Date : 2012-04-20
Tensors Differential Forms And Variational Principles written by David Lovelock and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-20 with Mathematics categories.
Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.
Tensor Analysis
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Author : L. P. Lebedev
language : en
Publisher: World Scientific
Release Date : 2003
Tensor Analysis written by L. P. Lebedev and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Tensor analysis is an essential tool in any science (e.g. engineering, physics, mathematical biology) that employs a continuumdescription. This concise text offers a straightforward treatment ofthe subject suitable for the student or practicing engineer
Tensor Calculus
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Author : John Lighton Synge
language : en
Publisher: Courier Corporation
Release Date : 1978-01-01
Tensor Calculus written by John Lighton Synge and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978-01-01 with Mathematics categories.
"This book is an excellent classroom text, since it is clearly written, contains numerous problems and exercises, and at the end of each chapter has a summary of the significant results of the chapter." — Quarterly of Applied Mathematics. Fundamental introduction for beginning student of absolute differential calculus and for those interested in applications of tensor calculus to mathematical physics and engineering. Topics include spaces and tensors; basic operations in Riemannian space, curvature of space, special types of space, relative tensors, ideas of volume, and more.