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An Introduction To Tensor Analysis

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An Introduction To Tensor Analysis

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Author : Leonard Lovering Barrett
language : en
Publisher:
Release Date : 1956

An Introduction To Tensor Analysis written by Leonard Lovering Barrett and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Calculus of tensors 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 Mathematics 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.

Introduction To Tensor Analysis

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Author : Henry David Block
language : en
Publisher:
Release Date : 1962

Introduction To Tensor Analysis written by Henry David Block and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Calculus of tensors categories.

An Introduction To Tensor Analysis For Engineers And Applied Scientists

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Author : John R. Tyldesley
language : en
Publisher: Longman Publishing Group
Release Date : 1975

An Introduction To Tensor Analysis For Engineers And Applied Scientists written by John R. Tyldesley and has been published by Longman Publishing Group this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.

Introduction To Tensor Analysis And The Calculus Of Moving Surfaces

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Author : Pavel Grinfeld
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-09-24

Introduction To Tensor Analysis And The Calculus Of Moving Surfaces written by Pavel Grinfeld 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 2013-09-24 with Mathematics categories.

This textbook is distinguished from other texts on the subject by the depth of the presentation and the discussion of the calculus of moving surfaces, which is an extension of tensor calculus to deforming manifolds. Designed for advanced undergraduate and graduate students, this text invites its audience to take a fresh look at previously learned material through the prism of tensor calculus. Once the framework is mastered, the student is introduced to new material which includes differential geometry on manifolds, shape optimization, boundary perturbation and dynamic fluid film equations. The language of tensors, originally championed by Einstein, is as fundamental as the languages of calculus and linear algebra and is one that every technical scientist ought to speak. The tensor technique, invented at the turn of the 20th century, is now considered classical. Yet, as the author shows, it remains remarkably vital and relevant. The author’s skilled lecturing capabilities are evident by the inclusion of insightful examples and a plethora of exercises. A great deal of material is devoted to the geometric fundamentals, the mechanics of change of variables, the proper use of the tensor notation and the discussion of the interplay between algebra and geometry. The early chapters have many words and few equations. The definition of a tensor comes only in Chapter 6 – when the reader is ready for it. While this text maintains a consistent level of rigor, it takes great care to avoid formalizing the subject. The last part of the textbook is devoted to the Calculus of Moving Surfaces. It is the first textbook exposition of this important technique and is one of the gems of this text. A number of exciting applications of the calculus are presented including shape optimization, boundary perturbation of boundary value problems and dynamic fluid film equations developed by the author in recent years. Furthermore, the moving surfaces framework is used to offer new derivations of classical results such as the geodesic equation and the celebrated Gauss-Bonnet theorem.

An Introduction To Tensor Analysis For Engineers And Applied Scientists

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Author : John R. Tyldesley
language : en
Publisher:
Release Date :

An Introduction To Tensor Analysis For Engineers And Applied Scientists written by John R. Tyldesley and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.

Ricci Calculus

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Author : Jan Arnoldus Schouten
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

Ricci Calculus written by Jan Arnoldus Schouten 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 2013-06-29 with Mathematics categories.

This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einführung I and li, and this book not only gave the first systematic introduction to the kernel index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICCI cal culus and its applications has to cover quite different ground from the book of 1923. Though the purpose remains to make the reader acquainted with RICCI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica tions have to be chosen. The first chapter contains algebraical preliminaries but the whole text is modernized and there is a section on hybrid quantities (quantities with indices of the first and of the second kind) and one on the many abridged notations that have been developed by several authors. In the second chapter the most important analytical notions that come before the introduction of a connexion aredealt with in full.