Vector And Tensor Analysis With Applications
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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.
Vector And Tensor Analysis
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Author : George E. Hay
language : en
Publisher: Courier Corporation
Release Date : 1953-01-01
Vector And Tensor Analysis written by George E. Hay and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953-01-01 with Mathematics categories.
"Remarkably comprehensive, concise and clear." — Industrial Laboratories "Considered as a condensed text in the classical manner, the book can well be recommended." — Nature Here is a clear introduction to classic vector and tensor analysis for students of engineering and mathematical physics. Chapters range from elementary operations and applications of geometry, to application of vectors to mechanics, partial differentiation, integration, and tensor analysis. More than 200 problems are included throughout the book.
Vector And Tensor Analysis With Applications
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Author : A. I. Borisenko
language : en
Publisher:
Release Date : 1979
Vector And Tensor Analysis With Applications written by A. I. Borisenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Analisis vectorial categories.
Tensor Analysis With Applications In Mechanics
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Author : Leonid P Lebedev
language : en
Publisher: World Scientific
Release Date : 2010-05-18
Tensor Analysis With Applications In Mechanics written by Leonid 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 2010-05-18 with Technology & Engineering categories.
The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special manner. The existence of these two bases is responsible for the mysterious covariant and contravariant terminology encountered in tensor discussions.A tensor field is a tensor-valued function of position in space. The use of tensor fields allows us to present physical laws in a clear, compact form. A byproduct is a set of simple and clear rules for the representation of vector differential operators such as gradient, divergence, and Laplacian in curvilinear coordinate systems.This book is a clear, concise, and self-contained treatment of tensors, tensor fields, and their applications. The book contains practically all the material on tensors needed for applications. It shows how this material is applied in mechanics, covering the foundations of the linear theories of elasticity and elastic shells.The main results are all presented in the first four chapters. The remainder of the book shows how one can apply these results to differential geometry and the study of various types of objects in continuum mechanics such as elastic bodies, plates, and shells. Each chapter of this new edition is supplied with exercises and problems — most with solutions, hints, or answers to help the reader progress. An extended appendix serves as a handbook-style summary of all important formulas contained in the book.
Tensor And Vector Analysis
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Author : C. E. Springer
language : en
Publisher: Courier Corporation
Release Date : 2012-01-01
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 2012-01-01 with Mathematics categories.
Assuming only a knowledge of basic calculus, this textpresents an elementary and gradual development of tensortheory. From this treatment, the traditional material ofcourses on vector analysis is deduced as a particular case. Inaddition, the book forms an introduction to metric differentialgeometry.Reprint of The Ronald Press Company, New York, 1962 edition.
Vector And Tensor Analysis With Applications
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Author : Alensandr Ivanovich Borisenko
language : en
Publisher:
Release Date : 1968
Vector And Tensor Analysis With Applications written by Alensandr Ivanovich Borisenko and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Calculus of tensors categories.
Vector And Tensor Analysis With Applications
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Author : IE. Tarapov
language : en
Publisher:
Release Date : 1968
Vector And Tensor Analysis With Applications written by IE. Tarapov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.
Tensor Calculus And Applications
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Author : Bhaben Chandra Kalita
language : en
Publisher: CRC Press
Release Date : 2019-03-11
Tensor Calculus And Applications written by Bhaben Chandra Kalita and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-11 with Mathematics categories.
The aim of this book is to make the subject easier to understand. This book provides clear concepts, tools, and techniques to master the subject -tensor, and can be used in many fields of research. Special applications are discussed in the book, to remove any confusion, and for absolute understanding of the subject. In most books, they emphasize only the theoretical development, but not the methods of presentation, to develop concepts. Without knowing how to change the dummy indices, or the real indices, the concept cannot be understood. This book takes it down a notch and simplifies the topic for easy comprehension. Features Provides a clear indication and understanding of the subject on how to change indices Describes the original evolution of symbols necessary for tensors Offers a pictorial representation of referential systems required for different kinds of tensors for physical problems Presents the correlation between critical concepts Covers general operations and concepts
Vector And Tensor Analysis
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Author : Louis Brand
language : en
Publisher: Courier Dover Publications
Release Date : 2020-04-15
Vector And Tensor Analysis written by Louis Brand 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 2020-04-15 with Mathematics categories.
An outstanding introduction to tensor analysis for physics and engineering students, this text admirably covers the expected topics in a careful step-by-step manor. In addition to the standard vector analysis of Gibbs, including dyadic or tensors of valence two, the treatment also supplies an introduction to the algebra of motors. The entire theory is illustrated by many significant applications. Surface geometry and hydrodynamics are treated at length in separate chapters. Nearly all of the important results are formulated as theorems, in which the essential conditions are explicitly stated. Each chapter concludes with a selection of problems that develop students' technical skills and introduce new and important applications. The material may be adapted for short courses in either vector analysis or tensor analysis.
Applications Of Tensor Analysis
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Author : A. J. McConnell
language : en
Publisher: Courier Corporation
Release Date : 2014-06-10
Applications Of Tensor Analysis written by A. J. McConnell and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-06-10 with Mathematics categories.
DIVTensor theory, applications to dynamics, electricity, elasticity, hydrodynamics, etc. Level is advanced undergraduate. Over 500 solved problems. /div