The Very Basics of Tensors

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Publisher : iUniverse
ISBN 13 : 059535694X
Total Pages : 149 pages
Book Rating : 4.5/5 (953 download)

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Book Synopsis The Very Basics of Tensors by : Nils K. Oeijord

Download or read book The Very Basics of Tensors written by Nils K. Oeijord and published by iUniverse. This book was released on 2005 with total page 149 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensor calculus is a generalization of vector calculus, and comes near of being a universal language in physics. Physical laws must be independent of any particular coordinate system used in describing them. This requirement leads to tensor calculus. The only prerequisites for reading this book are a familiarity with calculus (including vector calculus) and linear algebra, and some knowledge of differential equations.

Vectors, Tensors and the Basic Equations of Fluid Mechanics

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Publisher : Courier Corporation
ISBN 13 : 048613489X
Total Pages : 322 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Vectors, Tensors and the Basic Equations of Fluid Mechanics by : Rutherford Aris

Download or read book Vectors, Tensors and the Basic Equations of Fluid Mechanics written by Rutherford Aris and published by Courier Corporation. This book was released on 2012-08-28 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introductory text, geared toward advanced undergraduate and graduate students, applies mathematics of Cartesian and general tensors to physical field theories and demonstrates them in terms of the theory of fluid mechanics. 1962 edition.

Tensors for Physics

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Publisher : Springer
ISBN 13 : 331912787X
Total Pages : 449 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis Tensors for Physics by : Siegfried Hess

Download or read book Tensors for Physics written by Siegfried Hess and published by Springer. This book was released on 2015-04-25 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the science of tensors in a didactic way. The various types and ranks of tensors and the physical basis is presented. Cartesian Tensors are needed for the description of directional phenomena in many branches of physics and for the characterization the anisotropy of material properties. The first sections of the book provide an introduction to the vector and tensor algebra and analysis, with applications to physics, at undergraduate level. Second rank tensors, in particular their symmetries, are discussed in detail. Differentiation and integration of fields, including generalizations of the Stokes law and the Gauss theorem, are treated. The physics relevant for the applications in mechanics, quantum mechanics, electrodynamics and hydrodynamics is presented. The second part of the book is devoted to tensors of any rank, at graduate level. Special topics are irreducible, i.e. symmetric traceless tensors, isotropic tensors, multipole potential tensors, spin tensors, integration and spin-trace formulas, coupling of irreducible tensors, rotation of tensors. Constitutive laws for optical, elastic and viscous properties of anisotropic media are dealt with. The anisotropic media include crystals, liquid crystals and isotropic fluids, rendered anisotropic by external orienting fields. The dynamics of tensors deals with phenomena of current research. In the last section, the 3D Maxwell equations are reformulated in their 4D version, in accord with special relativity.

Manifolds, Tensors and Forms

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Publisher : Cambridge University Press
ISBN 13 : 1107042194
Total Pages : 343 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Manifolds, Tensors and Forms by : Paul Renteln

Download or read book Manifolds, Tensors and Forms written by Paul Renteln and published by Cambridge University Press. This book was released on 2014 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive treatment of the essentials of modern differential geometry and topology for graduate students in mathematics and the physical sciences.

Vector and Tensor Analysis with Applications

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Publisher : Courier Corporation
ISBN 13 : 0486131904
Total Pages : 292 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Vector and Tensor Analysis with Applications by : A. I. Borisenko

Download or read book Vector and Tensor Analysis with Applications written by A. I. Borisenko and published by Courier Corporation. This book was released on 2012-08-28 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Brief on Tensor Analysis

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1441985220
Total Pages : 124 pages
Book Rating : 4.4/5 (419 download)

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Book Synopsis A Brief on Tensor Analysis by : James G. Simmonds

Download or read book A Brief on Tensor Analysis written by James G. Simmonds and published by Springer Science & Business Media. This book was released on 2012-10-31 with total page 124 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Tensors and Their Applications

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Author :
Publisher : New Age International
ISBN 13 : 8122418384
Total Pages : 6 pages
Book Rating : 4.1/5 (224 download)

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Book Synopsis Tensors and Their Applications by : Nazrul Islam

Download or read book Tensors and Their Applications written by Nazrul Islam and published by New Age International. This book was released on 2006-12 with total page 6 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Book Is Written Is In Easy-To-Read Style With Corresponding Examples. The Main Aim Of This Book Is To Precisely Explain The Fundamentals Of Tensors And Their Applications To Mechanics, Elasticity, Theory Of Relativity, Electromagnetic, Riemannian Geometry And Many Other Disciplines Of Science And Engineering, In A Lucid Manner. The Text Has Been Explained Section Wise, Every Concept Has Been Narrated In The Form Of Definition, Examples And Questions Related To The Concept Taught. The Overall Package Of The Book Is Highly Useful And Interesting For The People Associated With The Field.

Differential Geometry and Tensors

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Author :
Publisher : I. K. International Pvt Ltd
ISBN 13 : 9380026587
Total Pages : 377 pages
Book Rating : 4.3/5 (8 download)

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Book Synopsis Differential Geometry and Tensors by : K.K. Dube

Download or read book Differential Geometry and Tensors written by K.K. Dube and published by I. K. International Pvt Ltd. This book was released on 2013-12-30 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The purpose of this book is to give a simple, lucid, rigorous and comprehensive account of fundamental notions of Differential Geometry and Tensors. The book is self-contained and divided in two parts. Section A deals with Differential Geometry and Section B is devoted to the study of Tensors. Section A deals with: " Theory of curves, envelopes and developables. " Curves on surfaces and fundamental magnitudes, curvature of surfaces and lines of curvature. " Fundamental equations of surface theory. " Geodesics. Section B deals with: " Tensor algebra. " Tensor calculus. " Christoffel symbols and their properties. " Riemann symbols and Einstein space, and their properties. " Physical components of contravariant and covariant vectors. " Geodesics and Parallelism of vectors. " Differentiable manifolds, charts, atlases.

An Introduction to Linear Algebra and Tensors

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486148785
Total Pages : 192 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis An Introduction to Linear Algebra and Tensors by : M. A. Akivis

Download or read book An Introduction to Linear Algebra and Tensors written by M. A. Akivis and published by Courier Corporation. This book was released on 2012-07-25 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eminently readable, completely elementary treatment begins with linear spaces and ends with analytic geometry, covering multilinear forms, tensors, linear transformation, and more. 250 problems, most with hints and answers. 1972 edition.

Tensor Analysis on Manifolds

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Publisher : Courier Corporation
ISBN 13 : 0486139239
Total Pages : 290 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Tensor Analysis on Manifolds by : Richard L. Bishop

Download or read book Tensor Analysis on Manifolds written by Richard L. Bishop and published by Courier Corporation. This book was released on 2012-04-26 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

Introduction to Tensor Analysis and the Calculus of Moving Surfaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1461478677
Total Pages : 303 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Introduction to Tensor Analysis and the Calculus of Moving Surfaces by : Pavel Grinfeld

Download or read book Introduction to Tensor Analysis and the Calculus of Moving Surfaces written by Pavel Grinfeld and published by Springer Science & Business Media. This book was released on 2013-09-24 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Vectors and Tensors in Crystallography

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Publisher :
ISBN 13 : 9780486685052
Total Pages : 0 pages
Book Rating : 4.6/5 (85 download)

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Book Synopsis Vectors and Tensors in Crystallography by : Donald Sands

Download or read book Vectors and Tensors in Crystallography written by Donald Sands and published by . This book was released on 1995 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ample instruction on vector and tensor manipulations in general coordinate systems, plus specific examples, applications. Emphasis on crystallographic applications, but methods are essential to any problems in nonorthogonal systems. 1982 edition.

What Are Tensors Exactly?

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Publisher : World Scientific
ISBN 13 : 9811241031
Total Pages : 246 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis What Are Tensors Exactly? by : Hongyu Guo

Download or read book What Are Tensors Exactly? written by Hongyu Guo and published by World Scientific. This book was released on 2021-06-16 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: Tensors have numerous applications in physics and engineering. There is often a fuzzy haze surrounding the concept of tensor that puzzles many students. The old-fashioned definition is difficult to understand because it is not rigorous; the modern definitions are difficult to understand because they are rigorous but at a cost of being more abstract and less intuitive.The goal of this book is to elucidate the concepts in an intuitive way but without loss of rigor, to help students gain deeper understanding. As a result, they will not need to recite those definitions in a parrot-like manner any more. This volume answers common questions and corrects many misconceptions about tensors. A large number of illuminating illustrations helps the reader to understand the concepts more easily.This unique reference text will benefit researchers, professionals, academics, graduate students and undergraduate students.

Tensor Calculus Made Simple

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Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781541013636
Total Pages : 170 pages
Book Rating : 4.0/5 (136 download)

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Book Synopsis Tensor Calculus Made Simple by : Taha Sochi

Download or read book Tensor Calculus Made Simple written by Taha Sochi and published by Createspace Independent Publishing Platform. This book was released on 2016-12-09 with total page 170 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is about tensor analysis. It consists of 169 pages. The language and method used in presenting the ideas and techniques of tensors make it very suitable as a textbook or as a reference for an introductory course on tensor algebra and calculus or as a guide for self-studying and learning.

Tensor Calculus

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Publisher : Courier Corporation
ISBN 13 : 048614139X
Total Pages : 340 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Tensor Calculus by : J. L. Synge

Download or read book Tensor Calculus written by J. L. Synge and published by Courier Corporation. This book was released on 2012-04-26 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

TENSORS made easy with SOLVED PROBLEMS

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Author :
Publisher : Lulu.com
ISBN 13 : 1326292536
Total Pages : 302 pages
Book Rating : 4.3/5 (262 download)

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Book Synopsis TENSORS made easy with SOLVED PROBLEMS by : Giancarlo Bernacchi

Download or read book TENSORS made easy with SOLVED PROBLEMS written by Giancarlo Bernacchi and published by Lulu.com. This book was released on 2015-06 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: -- New MARCH 2021 REVISED RELEASE -- A friendly and non-formal approach to a subject of abstract mathematics that has important applications in physics, especially in General Relativity, but also in other fields. The purpose of the book is mainly didactic and requires some mathematical background (differential calculus, partial derivatives included).

A First Course in General Relativity

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Publisher : Cambridge University Press
ISBN 13 : 0521887054
Total Pages : 411 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A First Course in General Relativity by : Bernard Schutz

Download or read book A First Course in General Relativity written by Bernard Schutz and published by Cambridge University Press. This book was released on 2009-05-14 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background.