Vector Analysis and Cartesian Tensors

Vector Analysis and Cartesian Tensors

Author: Donald Edward Bourne

Publisher: CRC Press

Published: 2018-05-04

Total Pages: 314

ISBN-13: 1351085972

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This is a comprehensive self-contained text suitable for use by undergraduate mathematics, science and engineering students following courses in vector analysis. The earlier editions have been used extensively in the design and teaching of may undergraduate courses. Vectors are introduced in terms of Cartesian components, an approach which is found to appeal to many students because of the basic algebraic rules of composition of vectors and the definitions of gradient divergence and curl are thus made particularly simple. The theory is complete, and intended to be as rigorous as possible at the level at which it is aimed.


Book Synopsis Vector Analysis and Cartesian Tensors by : Donald Edward Bourne

Download or read book Vector Analysis and Cartesian Tensors written by Donald Edward Bourne and published by CRC Press. This book was released on 2018-05-04 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive self-contained text suitable for use by undergraduate mathematics, science and engineering students following courses in vector analysis. The earlier editions have been used extensively in the design and teaching of may undergraduate courses. Vectors are introduced in terms of Cartesian components, an approach which is found to appeal to many students because of the basic algebraic rules of composition of vectors and the definitions of gradient divergence and curl are thus made particularly simple. The theory is complete, and intended to be as rigorous as possible at the level at which it is aimed.

Vector Analysis and Cartesian Tensors

Vector Analysis and Cartesian Tensors

Author: D. E. Bourne

Publisher: Academic Press

Published: 2014-05-10

Total Pages: 271

ISBN-13: 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.


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 Analysis and Cartesian Tensors, Third edition

Vector Analysis and Cartesian Tensors, Third edition

Author: P C Kendall

Publisher: Routledge

Published: 2017-09-06

Total Pages: 391

ISBN-13: 1351405616

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This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are provided at the back of the book.


Book Synopsis Vector Analysis and Cartesian Tensors, Third edition by : P C Kendall

Download or read book Vector Analysis and Cartesian Tensors, Third edition written by P C Kendall and published by Routledge. This book was released on 2017-09-06 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a comprehensive and self-contained text suitable for use by undergraduate mathematics, science and engineering students. Vectors are introduced in terms of cartesian components, making the concepts of gradient, divergent and curl particularly simple. The text is supported by copious examples and progress can be checked by completing the many problems at the end of each section. Answers are provided at the back of the book.

Vector Analysis and Cartesian Tensors

Vector Analysis and Cartesian Tensors

Author: Donald Edward Bourne

Publisher:

Published: 1982

Total Pages: 0

ISBN-13:

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Book Synopsis Vector Analysis and Cartesian Tensors by : Donald Edward Bourne

Download or read book Vector Analysis and Cartesian Tensors written by Donald Edward Bourne and published by . This book was released on 1982 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vector analysis and cartesian tensors

Vector analysis and cartesian tensors

Author: Donald Edward Bourne

Publisher:

Published: 1982

Total Pages: 256

ISBN-13:

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Book Synopsis Vector analysis and cartesian tensors by : Donald Edward Bourne

Download or read book Vector analysis and cartesian tensors written by Donald Edward Bourne and published by . This book was released on 1982 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Vector Analysis and Cartesian Tensors

Vector Analysis and Cartesian Tensors

Author: Donald Edward Bourne

Publisher:

Published: 1977

Total Pages: 256

ISBN-13: 9780412437908

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Book Synopsis Vector Analysis and Cartesian Tensors by : Donald Edward Bourne

Download or read book Vector Analysis and Cartesian Tensors written by Donald Edward Bourne and published by . This book was released on 1977 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A History of Vector Analysis

A History of Vector Analysis

Author: Michael J. Crowe

Publisher: Courier Corporation

Published: 1994-01-01

Total Pages: 306

ISBN-13: 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.


Book Synopsis A History of Vector Analysis by : Michael J. Crowe

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.

Vector and Tensor Analysis, Second Edition

Vector and Tensor Analysis, Second Edition

Author: Eutiquio C. Young

Publisher: CRC Press

Published: 1992-12-22

Total Pages: 530

ISBN-13: 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.


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.

Vectors, Tensors and the Basic Equations of Fluid Mechanics

Vectors, Tensors and the Basic Equations of Fluid Mechanics

Author: Rutherford Aris

Publisher: Courier Corporation

Published: 2012-08-28

Total Pages: 320

ISBN-13: 048613489X

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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.


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 320 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.

Vector Analysis and Cartesian Tensors

Vector Analysis and Cartesian Tensors

Author: Krishnamurty Karamcheti

Publisher:

Published: 1967

Total Pages: 282

ISBN-13:

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Book Synopsis Vector Analysis and Cartesian Tensors by : Krishnamurty Karamcheti

Download or read book Vector Analysis and Cartesian Tensors written by Krishnamurty Karamcheti and published by . This book was released on 1967 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: