From Vectors To Tensors
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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.
A Student S Guide To Vectors And Tensors
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Author : Daniel A. Fleisch
language : en
Publisher: Cambridge University Press
Release Date : 2011-09-22
A Student S Guide To Vectors And Tensors written by Daniel A. Fleisch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Science categories.
Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.
Introduction To Vectors And Tensors
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Author : Ray M. Bowen
language : en
Publisher: Springer
Release Date : 1976-05-31
Introduction To Vectors And Tensors written by Ray M. Bowen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976-05-31 with Mathematics categories.
To Volume 1 This work represents our effort to present the basic concepts of vector and tensor analysis. Volume 1 begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors. Volume 2 begins with a discussion of Euclidean manifolds, which leads to a development of the analytical and geometrical aspects of vector and tensor fields. We have not included a discussion of general differentiable manifolds. However, we have included a chapter on vector and tensor fields defined on hypersurfaces in a Euclidean manifold. In preparing this two-volume work, our intention was to present to engineering and science students a modern introduction to vectors and tensors. Traditional courses on applied mathematics have emphasized problem-solving techniques rather than the systematic development of concepts. As a result, it is possible for such courses to become terminal mathematics courses rather than courses which equip the student to develop his or her understanding further.
Tensor And Vector Analysis
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Author : C. E. Springer
language : en
Publisher: Courier Corporation
Release Date : 2013-09-26
Tensor And Vector Analysis written by C. E. Springer and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-09-26 with Mathematics categories.
Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.
Vector And Tensor Analysis
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Author : Louis Brand
language : en
Publisher:
Release Date : 1947
Vector And Tensor Analysis written by Louis Brand and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Calculus of tensors categories.
Introduction To Vector And Tensor Analysis
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Author : Robert C. Wrede
language : en
Publisher: Courier Corporation
Release Date : 2013-01-30
Introduction To Vector And Tensor Analysis written by Robert C. Wrede and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-01-30 with Mathematics categories.
Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.
Tensor Algebra And Tensor Analysis For Engineers
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Author : Mikhail Itskov
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-05-04
Tensor Algebra And Tensor Analysis For Engineers written by Mikhail Itskov 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 2007-05-04 with Technology & Engineering categories.
There is a large gap between engineering courses in tensor algebra on one hand, and the treatment of linear transformations within classical linear algebra on the other. This book addresses primarily engineering students with some initial knowledge of matrix algebra. Thereby, mathematical formalism is applied as far as it is absolutely necessary. Numerous exercises provided in the book are accompanied by solutions enabling autonomous study. The last chapters deal with modern developments in the theory of isotropic and anisotropic tensor functions and their applications to continuum mechanics and might therefore be of high interest for PhD-students and scientists working in this area.
Tensor Calculus For Physics
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Author : Dwight E. Neuenschwander
language : en
Publisher: JHU Press
Release Date : 2015
Tensor Calculus For Physics written by Dwight E. Neuenschwander and has been published by JHU Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Mathematics categories.
It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"
Vector Analysis And Cartesian Tensors
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Author : Donald Edward Bourne
language : en
Publisher:
Release Date : 1982
Vector Analysis And Cartesian Tensors written by Donald Edward Bourne and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Calculus of tensors categories.
Vectors And Tensors In Crystallography
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Author : Donald E. Sands
language : en
Publisher: Courier Dover Publications
Release Date : 2002
Vectors And Tensors In Crystallography written by Donald E. Sands and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Crystallography, Mathematical categories.
Ample instruction on vector and tensor manipulations in general coordinate systems, plus specific examples, applications. Emphasis on crystallographic applications, but methods are essential to any problems in nonorthogonal systems. 1982 edition.