Tensor Analysis And Nonlinear Tensor Functions

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Tensor Analysis And Nonlinear Tensor Functions

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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 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.

A Course In Continuum Mechanics Basic Equations And Analytical Techniques

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Author : Леонид Иванович Седов
language : en
Publisher:
Release Date : 1971

A Course In Continuum Mechanics Basic Equations And Analytical Techniques written by Леонид Иванович Седов and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Continuum mechanics categories.

An Introduction To Tensor Analysis

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Author : Bipin Singh Koranga
language : en
Publisher: CRC Press
Release Date : 2022-09-01

An Introduction To Tensor Analysis written by Bipin Singh Koranga and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-09-01 with Science categories.

The subject of Tensor Analysis deals with the problem of the formulation of the relation between various entities in forms which remain invariant when we pass from one system of coordinates to another. The invariant form of equation is necessarily related to the possible system of coordinates with reference to which the equation remains invariant. The primary purpose of this book is the study of the invariance form of equation relative to the totally of the rectangular co-ordinate system in the three-dimensional Euclidean space. We start with the consideration of the way the sets representing various entities are transformed when we pass from one system of rectangular co-ordinates to another. A Tensor may be a physical entity that can be described as a Tensor only with respect to the manner of its representation by means of multi-sux sets associated with different system of axes such that the sets associated with different system of co-ordinate obey the transformation law for Tensor. We have employed sux notation for tensors of any order, we could also employ single letter such A,B to denote Tensors.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2007

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Mathematics categories.

Journal Of Applied Mechanics

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Author :
language : en
Publisher:
Release Date : 1971

Journal Of Applied Mechanics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Mechanical engineering categories.

Publishes original research in all branches of mechanics including aerodynamics; aeroelasticity; boundary layers; computational mechanics; constitutive modeling of materials; dynamics; elasticity; flow and fracture; heat transfer; hydraulics; impact; internal flow; mechanical properties of materials; micromechanics; plasticity; stress analysis; structures; thermodynamics; turbulence; vibration; and wave propagation.

Introduction To The Mechanics Of A Continuous Medium

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Author : Леонид Иванович Седов
language : en
Publisher:
Release Date : 1965

Introduction To The Mechanics Of A Continuous Medium written by Леонид Иванович Седов and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Continuum mechanics categories.

Bulletin

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Author : Northwestern University (Evanston, Ill.)
language : en
Publisher:
Release Date : 1963

Bulletin written by Northwestern University (Evanston, Ill.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.

Comportement Mecanique Des Solides Anisotropes

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Author : Jean-Paul Boehler
language : en
Publisher:
Release Date : 1982

Comportement Mecanique Des Solides Anisotropes written by Jean-Paul Boehler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Science categories.

Concrete Science And Engineering

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Author :
language : en
Publisher:
Release Date : 1999

Concrete Science And Engineering written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Concrete categories.