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Principles Of Tensor Calculus


Principles Of Tensor Calculus
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Principles Of Tensor Calculus


Principles Of Tensor Calculus
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2022-08-23

Principles Of Tensor Calculus written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-08-23 with Mathematics categories.


This book is based on my previous book: Tensor Calculus Made Simple, where the development of tensor calculus concepts and techniques are continued at a higher level. Unlike the previous book which is largely based on a Cartesian approach, the formulation in the present book is based on a general coordinate system. The book is furnished with an index as well as detailed sets of exercises to provide useful revision and practice. To facilitate linking related concepts and sections, cross referencing is used extensively throughout the book. The book also contains a number of graphic illustrations to help the readers to visualize the ideas and understand the subtle concepts. The book can be used as a text for an introductory or an intermediate level course on tensor calculus.



Solutions Of Exercises Of Principles Of Tensor Calculus


Solutions Of Exercises Of Principles Of Tensor Calculus
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Author : Taha Sochi
language : en
Publisher: Taha Sochi
Release Date : 2022-10-10

Solutions Of Exercises Of Principles Of Tensor Calculus written by Taha Sochi and has been published by Taha Sochi this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-10 with Mathematics categories.


This book contains the solutions of all the exercises of my book: Principles of Tensor Calculus. These solutions are sufficiently simplified and detailed for the benefit of readers of all levels particularly those at introductory levels.



Principles And Applications Of Tensor Analysis


Principles And Applications Of Tensor Analysis
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Author : Matthew S Smith
language : en
Publisher:
Release Date : 2012-03-01

Principles And Applications Of Tensor Analysis written by Matthew S Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-01 with categories.




The Variational Principles Of Mechanics


The Variational Principles Of Mechanics
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Author : Cornelius Lanczos
language : en
Publisher: Courier Corporation
Release Date : 2012-04-24

The Variational Principles Of Mechanics written by Cornelius Lanczos and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-24 with Science categories.


Philosophic, less formalistic approach to analytical mechanics offers model of clear, scholarly exposition at graduate level with coverage of basics, calculus of variations, principle of virtual work, equations of motion, more.



An Introduction To Tensor Calculus


An Introduction To Tensor Calculus
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Author : Derek F. Lawden
language : en
Publisher: Courier Corporation
Release Date : 2012-03-07

An Introduction To Tensor Calculus written by Derek F. Lawden and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-03-07 with Science categories.


This elementary introduction pays special attention to aspects of tensor calculus and relativity that students tend to find most difficult. Its use of relatively unsophisticated mathematics in the early chapters allows readers to develop their confidence within the framework of Cartesian coordinates before undertaking the theory of tensors in curved spaces and its application to general relativity theory. Topics include the special principle of relativity and Lorentz transformations; orthogonal transformations and Cartesian tensors; special relativity mechanics and electrodynamics; general tensor calculus and Riemannian space; and the general theory of relativity, including a focus on black holes and gravitational waves. The text concludes with a chapter offering a sound background in applying the principles of general relativity to cosmology. Numerous exercises advance the theoretical developments of the main text, thus enhancing this volume’s appeal to students of applied mathematics and physics at both undergraduate and postgraduate levels. Preface. List of Constants. References. Bibliography.



Principles Applications Of Tensor Analysis


Principles Applications Of Tensor Analysis
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Author : Matthew S. Smith
language : en
Publisher:
Release Date : 1963

Principles Applications Of Tensor Analysis written by Matthew S. Smith and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Calculus of tensors categories.




Tensor Analysis And Nonlinear Tensor Functions


Tensor Analysis And Nonlinear Tensor Functions
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Author : Yuriy I. Dimitrienko
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-06-29

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 2013-06-29 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.



Principles Of Eidetics


Principles Of Eidetics
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Author : Arnaldo Arduini
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Principles Of Eidetics written by Arnaldo Arduini 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 2012-12-06 with Medical categories.


the Author strongly feels the still immeasurable gap existing between the todays comprehensible neurophysiology concerning somatic and autonomic functions, on the one hand, and the still incomprehensible properties of mind - when approached in the same neurophysiological term- on the other hand. For this reason, the book is first aiming at given an understandable, critically viewed, fundament on the "kernel" of mind:the ideas, their relationship with the corresponding concepts, with the development of thought , with memory, with will. In this book, the Author does not advance neurophysioligal models to put to test, rather, strives to encase the forementioned mind's functional properties and its abstract structures within the same reference framework of physical principles outlined for the somatic and autonomic functions in his preceding volume PRINCIPLES OF THEORETICAL NEUROPHYSIOLOGY (Springer, 1987.)



Maximum Principles And Their Applications


Maximum Principles And Their Applications
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Author : Sperb
language : en
Publisher: Academic Press
Release Date : 1981-07-28

Maximum Principles And Their Applications written by Sperb and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1981-07-28 with Computers categories.


Maximum Principles and Their Applications



Relativity Principles And Theories From Galileo To Einstein


Relativity Principles And Theories From Galileo To Einstein
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Author : Olivier Darrigol
language : en
Publisher: Oxford University Press
Release Date : 2021-12-22

Relativity Principles And Theories From Galileo To Einstein written by Olivier Darrigol and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-12-22 with Science categories.


This book is a full, long-term history of relativity thinking in physics, from Galileo's early reflections on the proper reference of mechanical motion to Einstein's exploitation of relativity principles in his theories of special and general relativity.