[PDF] Vector And Tensor Analysis Second Edition eBook

Author : Eutiquio C. Young
Publisher : CRC Press
Page : 530 pages
File Size : 38,42 MB
Release : 1992-12-22
Category : Technology & Engineering
ISBN : 9780824787899

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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 : Robert C. Wrede
Publisher : Courier Corporation
Page : 436 pages
File Size : 40,74 MB
Release : 2013-01-30
Category : Mathematics
ISBN : 0486137112

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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.

Author : A. I. Borisenko
Publisher : Courier Corporation
Page : 292 pages
File Size : 28,63 MB
Release : 2012-08-28
Category : Mathematics
ISBN : 0486131904

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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.

Author : James G. Simmonds
Publisher : Springer Science & Business Media
Page : 124 pages
File Size : 21,70 MB
Release : 2012-10-31
Category : Mathematics
ISBN : 1441985220

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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.

Author : Ray M. Bowen
Publisher : Springer
Page : 224 pages
File Size : 43,24 MB
Release : 1976-05-31
Category : Mathematics
ISBN :

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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 : C. E. Springer
Publisher : Courier Corporation
Page : 258 pages
File Size : 46,14 MB
Release : 2013-09-26
Category : Mathematics
ISBN : 048632091X

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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 : Michael J. Crowe
Publisher : Courier Corporation
Page : 306 pages
File Size : 20,27 MB
Release : 1994-01-01
Category : Mathematics
ISBN : 0486679101

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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
Page : 271 pages
File Size : 27,84 MB
Release : 2014-05-10
Category : Mathematics
ISBN : 1483260704

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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 : George E. Hay
Publisher : Courier Corporation
Page : 210 pages
File Size : 25,96 MB
Release : 1953-01-01
Category : Mathematics
ISBN : 0486601099

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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.