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.

Tensor Calculus for Physics

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Publisher : JHU Press
ISBN 13 : 142141564X
Total Pages : 244 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Tensor Calculus for Physics by : Dwight E. Neuenschwander

Download or read book Tensor Calculus for Physics written by Dwight E. Neuenschwander and published by JHU Press. This book was released on 2015 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is an ideal companion for courses such as mathematical methods of physics, classical mechanics, electricity and magnetism, and relativity.--Gary White, editor of The Physics Teacher "American Journal of Physics"

Vector and Tensor Analysis, Second Edition

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Publisher : CRC Press
ISBN 13 : 9780824787899
Total Pages : 530 pages
Book Rating : 4.7/5 (878 download)

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Book Synopsis Vector and Tensor Analysis, Second Edition by : Eutiquio C. Young

Download or read book Vector and Tensor Analysis, Second Edition written by Eutiquio C. Young and published by CRC Press. This book was released on 1992-12-22 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Revised and updated throughout, this book presents the fundamental concepts of vector and tensor analysis with their corresponding physical and geometric applications - emphasizing the development of computational skills and basic procedures, and exploring highly complex and technical topics in simplified settings.;This text: incorporates transformation of rectangular cartesian coordinate systems and the invariance of the gradient, divergence and the curl into the discussion of tensors; combines the test for independence of path and the path independence sections; offers new examples and figures that demonstrate computational methods, as well as carify concepts; introduces subtitles in each section to highlight the appearance of new topics; provides definitions and theorems in boldface type for easy identification. It also contains numerical exercises of varying levels of difficulty and many problems solved.

Vector and Tensor Analysis

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Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Vector and Tensor Analysis by : Louis Brand

Download or read book Vector and Tensor Analysis written by Louis Brand and published by . This book was released on 1947 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Introduction to Vectors and Tensors

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Publisher : Springer
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Introduction to Vectors and Tensors by : Ray M. Bowen

Download or read book Introduction to Vectors and Tensors written by Ray M. Bowen and published by Springer. This book was released on 1976-05-31 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: To Volume 1 This work represents our effort to present the basic concepts of vector and tensor analysis. Volume 1 begins with a brief discussion of algebraic structures followed by a rather detailed discussion of the algebra of vectors and tensors. Volume 2 begins with a discussion of Euclidean manifolds, which leads to a development of the analytical and geometrical aspects of vector and tensor fields. We have not included a discussion of general differentiable manifolds. However, we have included a chapter on vector and tensor fields defined on hypersurfaces in a Euclidean manifold. In preparing this two-volume work, our intention was to present to engineering and science students a modern introduction to vectors and tensors. Traditional courses on applied mathematics have emphasized problem-solving techniques rather than the systematic development of concepts. As a result, it is possible for such courses to become terminal mathematics courses rather than courses which equip the student to develop his or her understanding further.

Introduction to Vector and Tensor Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486137112
Total Pages : 436 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Introduction to Vector and Tensor Analysis by : Robert C. Wrede

Download or read book Introduction to Vector and Tensor Analysis written by Robert C. Wrede and published by Courier Corporation. This book was released on 2013-01-30 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Tensor and Vector Analysis

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Publisher : Courier Corporation
ISBN 13 : 048632091X
Total Pages : 258 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Tensor and Vector Analysis by : C. E. Springer

Download or read book Tensor and Vector Analysis written by C. E. Springer and published by Courier Corporation. This book was released on 2013-09-26 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Assuming only a knowledge of basic calculus, this text's elementary development of tensor theory focuses on concepts related to vector analysis. The book also forms an introduction to metric differential geometry. 1962 edition.

Vector and Tensor Analysis

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Publisher : Courier Corporation
ISBN 13 : 0486601099
Total Pages : 210 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Vector and Tensor Analysis by : George E. Hay

Download or read book Vector and Tensor Analysis written by George E. Hay and published by Courier Corporation. This book was released on 1953-01-01 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Vector Analysis and Cartesian Tensors

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Publisher : Academic Press
ISBN 13 : 1483260704
Total Pages : 271 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Vector Analysis and Cartesian Tensors by : D. E. Bourne

Download or read book Vector Analysis and Cartesian Tensors written by D. E. Bourne and published by Academic Press. This book was released on 2014-05-10 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector Analysis and Cartesian Tensors, Second Edition focuses on the processes, methodologies, and approaches involved in vector analysis and Cartesian tensors, including volume integrals, coordinates, curves, and vector functions. The publication first elaborates on rectangular Cartesian coordinates and rotation of axes, scalar and vector algebra, and differential geometry of curves. Discussions focus on differentiation rules, vector functions and their geometrical representation, scalar and vector products, multiplication of a vector by a scalar, and angles between lines through the origin. The text then elaborates on scalar and vector fields and line, surface, and volume integrals, including surface, volume, and repeated integrals, general orthogonal curvilinear coordinates, and vector components in orthogonal curvilinear coordinates. The manuscript ponders on representation theorems for isotropic tensor functions, Cartesian tensors, applications in potential theory, and integral theorems. Topics include geometrical and physical significance of divergence and curl, Poisson's equation in vector form, isotropic scalar functions of symmetrical second order tensors, and diagonalization of second-order symmetrical tensors. The publication is a valuable reference for mathematicians and researchers interested in vector analysis and Cartesian tensors.

Vector and Tensor Analysis

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Publisher : New York, McGraw-Hill
ISBN 13 :
Total Pages : 368 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Vector and Tensor Analysis by : Harry Lass

Download or read book Vector and Tensor Analysis written by Harry Lass and published by New York, McGraw-Hill. This book was released on 1950 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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

A Brief on Tensor Analysis

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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.

Vector and Tensor Analysis

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Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Vector and Tensor Analysis by : Eutiquio C. Young

Download or read book Vector and Tensor Analysis written by Eutiquio C. Young and published by . This book was released on 1978 with total page 552 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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.

Tensor Algebra and Tensor Analysis for Engineers

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Publisher : Springer Science & Business Media
ISBN 13 : 3540939075
Total Pages : 253 pages
Book Rating : 4.5/5 (49 download)

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Book Synopsis Tensor Algebra and Tensor Analysis for Engineers by : Mikhail Itskov

Download or read book Tensor Algebra and Tensor Analysis for Engineers written by Mikhail Itskov and published by Springer Science & Business Media. This book was released on 2009-04-30 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Vectors to Tensors

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Publisher : Springer Science & Business Media
ISBN 13 : 3540270663
Total Pages : 675 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis From Vectors to Tensors by : Juan R. Ruiz-Tolosa

Download or read book From Vectors to Tensors written by Juan R. Ruiz-Tolosa and published by Springer Science & Business Media. This book was released on 2005-12-08 with total page 675 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook deals with tensors that are treated as vectors. Coverage details such new tensor concepts as the rotation of tensors, the transposer tensor, the eigentensors, and the permutation tensor structure. The book covers an existing gap between the classic theory of tensors and the possibility of solving tensor problems with a computer. A complementary computer package, written in Mathematica, is available through the Internet.

Vector Analysis

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Publisher : Courier Corporation
ISBN 13 : 048615484X
Total Pages : 306 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Vector Analysis by : Louis Brand

Download or read book Vector Analysis written by Louis Brand and published by Courier Corporation. This book was released on 2012-06-22 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text was designed as a short introductory course to give students the tools of vector algebra and calculus, as well as a brief glimpse into the subjects' manifold applications. 1957 edition. 86 figures.