Vector And Tensor Analysis Second Edition

Author : Eutiquio C. Young
Publisher : CRC Press
ISBN 13 : 9780824787899
Total Pages : 530 pages
Book Rating : 4.97/5 ( download)

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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.

Author : Ray M. Bowen
Publisher : Springer
ISBN 13 :
Total Pages : 224 pages
Book Rating : 4.55/5 ( download)

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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.

Author : A. I. Borisenko
Publisher : Courier Corporation
ISBN 13 : 0486131904
Total Pages : 288 pages
Book Rating : 4.00/5 ( download)

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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 288 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.

Author : Eutiquio C. Young
Publisher :
ISBN 13 :
Total Pages : 552 pages
Book Rating : 4.99/5 ( download)

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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:

Author : C. E. Springer
Publisher : Courier Corporation
ISBN 13 : 048632091X
Total Pages : 256 pages
Book Rating : 4.15/5 ( download)

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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 256 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.

Author : Louis Brand
Publisher :
ISBN 13 :
Total Pages : 472 pages
Book Rating : 4.70/5 ( download)

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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:

Author : James G. Simmonds
Publisher : Springer Science & Business Media
ISBN 13 : 1441985220
Total Pages : 124 pages
Book Rating : 4.24/5 ( download)

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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.

Author : Michael J. Crowe
Publisher : Courier Corporation
ISBN 13 : 0486679101
Total Pages : 306 pages
Book Rating : 4.05/5 ( download)

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Download or read book A History of Vector Analysis written by Michael J. Crowe and published by Courier Corporation. This book was released on 1994-01-01 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prize-winning study traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers to the final acceptance around 1910 of the modern system of vector analysis.

Author : D. E. Bourne
Publisher : Academic Press
ISBN 13 : 1483260704
Total Pages : 271 pages
Book Rating : 4.09/5 ( download)

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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.

Author : Robert C. Wrede
Publisher : Courier Corporation
ISBN 13 : 0486137112
Total Pages : 418 pages
Book Rating : 4.17/5 ( download)

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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 418 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.