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Introduction to Vector and Tensor Analysis

Introduction to Vector and Tensor Analysis Author Robert C. Wrede
ISBN-10 9780486137117
Release 2013-01-30
Pages 418
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Examines general Cartesian coordinates, the cross product, Einstein's special theory of relativity, bases in general coordinate systems, maxima and minima of functions of two variables, line integrals, integral theorems, and more. 1963 edition.

Vector and Tensor Analysis with Applications

Vector and Tensor Analysis with Applications Author A. I. Borisenko
ISBN-10 9780486131900
Release 2012-08-28
Pages 288
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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.

Tensor and Vector Analysis

Tensor and Vector Analysis Author C. E. Springer
ISBN-10 9780486498010
Release 2012-11
Pages 242
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Assuming only a knowledge of basic calculus, this textpresents an elementary and gradual development of tensortheory. From this treatment, the traditional material ofcourses on vector analysis is deduced as a particular case. Inaddition, the book forms an introduction to metric differentialgeometry.Reprint of The Ronald Press Company, New York, 1962 edition.

A Brief on Tensor Analysis

A Brief on Tensor Analysis Author James G. Simmonds
ISBN-10 9781441985224
Release 2012-10-31
Pages 114
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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.

Vectors Tensors and the Basic Equations of Fluid Mechanics

Vectors  Tensors and the Basic Equations of Fluid Mechanics Author Rutherford Aris
ISBN-10 9780486134895
Release 2012-08-28
Pages 320
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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.

Introduction to Vectors and Tensors

Introduction to Vectors and Tensors Author Ray M. Bowen
ISBN-10 9780486469140
Release 2008
Pages 520
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This convenient single-volume compilation of two texts offers both an introduction and an in-depth survey. Geared toward engineering and science students rather than mathematicians, its less rigorous treatment focuses on physics and engineering applications. A practical reference for professionals, it is suitable for advanced undergraduate and graduate students. 1976 edition.

Tensors Differential Forms and Variational Principles

Tensors  Differential Forms  and Variational Principles Author David Lovelock
ISBN-10 9780486131986
Release 2012-04-20
Pages 400
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Incisive, self-contained account of tensor analysis and the calculus of exterior differential forms, interaction between the concept of invariance and the calculus of variations. Emphasis is on analytical techniques. Includes problems.

Tensor Calculus

Tensor Calculus Author J. L. Synge
ISBN-10 9780486141398
Release 2012-04-26
Pages 336
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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.

Applications of Tensor Analysis

Applications of Tensor Analysis Author A J McConnell
ISBN-10 1614276897
Release 2014-09-02
Pages 332
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2014 Reprint of 1957 Edition. Full facsimile of the original edition. Not reproduced with Optical Recognition Software. Formerly entitled "Applications of the Absolute Differential Calculus," this work applies tensorial methods to subjects within the realm of advanced college mathematics. In four major divisions, it explains the fundamental ideas and notation of tensor theory; covers the geometrical treatment of tensor algebra; introduces the theory of the differentiation of tensors; and applies mathematics to dynamics, electricity, elasticity and hydrodynamics.

Tensor Analysis for Physicists

Tensor Analysis for Physicists Author Jan Arnoldus Schouten
ISBN-10 9780486655826
Release 1954
Pages 277
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This rigorous and advanced mathematical explanation of classic tensor analysis was written by one of the founders of tensor calculus. Its concise exposition of the mathematical basis of the discipline is integrated with well-chosen physical examples of the theory, including those involving elasticity, classical dynamics, relativity, and Dirac's matrix calculus. 1954 edition.

Tensor Analysis on Manifolds

Tensor Analysis on Manifolds Author Richard L. Bishop
ISBN-10 9780486139234
Release 2012-04-26
Pages 288
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DIVProceeds from general to special, including chapters on vector analysis on manifolds and integration theory. /div

An Introduction to Linear Algebra and Tensors

An Introduction to Linear Algebra and Tensors Author M. A. Akivis
ISBN-10 9780486148786
Release 2012-07-25
Pages 192
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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.

Vector and Tensor Analysis

Vector and Tensor Analysis Author George E. Hay
ISBN-10 9780486601090
Release 1953
Pages 193
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"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.

Elements of Tensor Calculus

Elements of Tensor Calculus Author A. Lichnerowicz
ISBN-10 9780486805177
Release 2016-06-20
Pages 176
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Part I: rigorous presentation of tensor calculus as a develoment of vector analysis. Part II: important applications of tensor calculus. Concluding section: field equations of general relativity theory. 1962 edition.

Introduction to Tensor Analysis and the Calculus of Moving Surfaces

Introduction to Tensor Analysis and the Calculus of Moving Surfaces Author Pavel Grinfeld
ISBN-10 9781461478676
Release 2013-09-24
Pages 302
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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.

Tensor Calculus

Tensor Calculus Author Barry Spain
ISBN-10 9780486428314
Release 2003
Pages 125
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A compact exposition of the theory of tensors, this text also illustrates the power of the tensor technique by its applications to differential geometry, elasticity, and relativity. Explores tensor algebra, the line element, covariant differentiation, geodesics and parallelism, and curvature tensor. Also covers Euclidean 3-dimensional differential geometry, Cartesian tensors and elasticity, and the theory of relativity. 1960 edition.

An Introduction to Differential Geometry

An Introduction to Differential Geometry Author T. J. Willmore
ISBN-10 9780486282107
Release 2013-05-13
Pages 336
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This text employs vector methods to explore the classical theory of curves and surfaces. Topics include basic theory of tensor algebra, tensor calculus, calculus of differential forms, and elements of Riemannian geometry. 1959 edition.