Physical Components Of Tensors
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Physical Components Of Tensors
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Author : Wolf Altman
language : en
Publisher: CRC Press
Release Date : 2018-10-08
Physical Components Of Tensors written by Wolf Altman and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-08 with Mathematics categories.
Illustrating the important aspects of tensor calculus, and highlighting its most practical features, Physical Components of Tensors presents an authoritative and complete explanation of tensor calculus that is based on transformations of bases of vector spaces rather than on transformations of coordinates. Written with graduate students, professors, and researchers in the areas of elasticity and shell theories in mind, this text focuses on the physical and nonholonomic components of tensors and applies them to the theories. It establishes a theory of physical and anholonomic components of tensors and applies the theory of dimensional analysis to tensors and (anholonomic) connections. This theory shows the relationship and compatibility among several existing definitions of physical components of tensors when referred to nonorthogonal coordinates. The book assumes a basic knowledge of linear algebra and elementary calculus, but revisits these subjects and introduces the mathematical backgrounds for the theory in the first three chapters. In addition, all field equations are also given in physical components as well. Comprised of five chapters, this noteworthy text: Deals with the basic concepts of linear algebra, introducing the vector spaces and the further structures imposed on them by the notions of inner products, norms, and metrics Focuses on the main algebraic operations for vectors and tensors and also on the notions of duality, tensor products, and component representation of tensors Presents the classical tensor calculus that functions as the advanced prerequisite for the development of subsequent chapters Provides the theory of physical and anholonomic components of tensors by associating them to the spaces of linear transformations and of tensor products and advances two applications of this theory Physical Components of Tensors contains a comprehensive account of tensor calculus, and is an essential reference for graduate students or engineers concerned with solid and structural mechanics.
A Note On Physical Components Of Tensors
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Author : Luigi Morino
language : en
Publisher:
Release Date : 1972
A Note On Physical Components Of Tensors written by Luigi Morino and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Shells (Engineering) categories.
Polyadics And Physical Components Of Tensors
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Author : Kent Gardner Stansberry
language : en
Publisher:
Release Date : 1967
Polyadics And Physical Components Of Tensors written by Kent Gardner Stansberry and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Calculus of tensors categories.
An Introduction To Tensor Calculus
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Author : Jacques L. Mercier
language : en
Publisher:
Release Date : 1971
An Introduction To Tensor Calculus written by Jacques L. Mercier and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Calculus of tensors categories.
A Brief On Tensor Analysis
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Author : James G. Simmonds
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-31
A Brief On Tensor Analysis written by James G. Simmonds 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 2012-10-31 with Mathematics categories.
In this text which gradually develops the tools for formulating and manipulating the field equations of Continuum Mechanics, the mathematics of tensor analysis is introduced in four, well-separated stages, and the physical interpretation and application of vectors and tensors are stressed throughout. This new edition contains more exercises. In addition, the author has appended a section on Differential Geometry.
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.
Vector And Tensor Analysis With Applications
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Author : A. I. Borisenko
language : en
Publisher: Courier Corporation
Release Date : 2012-08-28
Vector And Tensor Analysis With Applications written by A. I. 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 2012-08-28 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.
Applied Elasticity
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Author : J D Renton
language : en
Publisher: Elsevier
Release Date : 2002-12-30
Applied Elasticity written by J D Renton and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-30 with Science categories.
This updated version covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987. It emphasises 3-dimensional elasticity, concisely covering this important subject studied in most universities by filling the gap between a mathematical and the engineering approach. Based on the author's extensive research experience, it reflects the need for more sophisticated methods of elastic analysis than is usually taught at undergraduate level. The subject is presented at the level of sophistication for engineers with mathematical knowledge and those familiar with matrices. Readers wary of tensor notation will find help in the opening chapter. As his text progresses, the author uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis. Relatively inaccessible material with important applications receives special attention, e.g. Russian work on anisotropic materials, the technique of thermal imaging of strain, and an analysis of the San Andreas fault. Tensor equations are given in straightforward notation to provide a physical grounding and assist comprehension, and there are useful tables for the solution of problems. Covers the considerable work on research and development to determine elastic properties of materials undertaken since the first edition of 1987 Emphasises 3-dimensional elasticity and fills the gap between a mathematical and engineering approach Uses Cartesian tensors to develop the theory of thermoelasticity, the theory of generalised plane stress, and complex variable analysis
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.
Tensor Calculus
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Author : J. L. Synge
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Tensor Calculus written by J. L. 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 2012-04-26 with Mathematics categories.
Fundamental introduction 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, more.