An Introduction To Vectors Vector Operators And Vector Analysis

Author : Pramod S. Joag
Publisher : Cambridge University Press
ISBN 13 : 1316870472
Total Pages : 548 pages
Book Rating : 4.71/5 ( download)

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Download or read book An Introduction to Vectors, Vector Operators and Vector Analysis written by Pramod S. Joag and published by Cambridge University Press. This book was released on 2016-10-13 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ideal for undergraduate and graduate students of science and engineering, this book covers fundamental concepts of vectors and their applications in a single volume. The first unit deals with basic formulation, both conceptual and theoretical. It discusses applications of algebraic operations, Levi-Civita notation, and curvilinear coordinate systems like spherical polar and parabolic systems and structures, and analytical geometry of curves and surfaces. The second unit delves into the algebra of operators and their types and also explains the equivalence between the algebra of vector operators and the algebra of matrices. Formulation of eigen vectors and eigen values of a linear vector operator are elaborated using vector algebra. The third unit deals with vector analysis, discussing vector valued functions of a scalar variable and functions of vector argument (both scalar valued and vector valued), thus covering both the scalar vector fields and vector integration.

Author : P.G Dawber
Publisher : CRC Press
ISBN 13 : 9780852745854
Total Pages : 72 pages
Book Rating : 4.50/5 ( download)

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Download or read book Vectors and Vector Operators written by P.G Dawber and published by CRC Press. This book was released on 1987-01-01 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vectors and Vector Operators provides an introduction to the use of vectors and vector operators that will be especially helpful to first-year undergraduates of the physical sciences. The vector forms of many of the equations of physics clearly demonstrate the essential geometrical relationships between the quantities involved. Topics covered include vector algebra, products of vectors, differentiation of vectors, the gradient operator, and the divergence and curl of vector fields. Throughout the text, the author emphasizes the application of vector techniques to problems in physics and includes many worked examples.

Author : R. K. Pandey
Publisher : Discovery Publishing House
ISBN 13 : 9788183562973
Total Pages : 192 pages
Book Rating : 4.73/5 ( download)

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Download or read book Vector Analysis written by R. K. Pandey and published by Discovery Publishing House. This book was released on 2007 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book play a major role as basic tools in Differential geometry, Mechanics, Fluid Mathematics. The bulk of the book consists of five chapters on Vector Analysis and its applications. Each chapter is accompanied by a problem set. The problem sets constitute an integral part of the book. Solving the problems will expose you to the geometric, symbolic and numerical features of multivariable calculus. Contents: Algebra of Vectors, Differentiation of Vectors, Gradient Divergence and Curl, Vector Integration, Application of Vector Integration.

Author : Louis Brand
Publisher : Courier Corporation
ISBN 13 : 048615484X
Total Pages : 306 pages
Book Rating : 4.48/5 ( download)

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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.

Author : Frank M. Tiller
Publisher :
ISBN 13 :
Total Pages : 374 pages
Book Rating : 4.32/5 ( download)

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Download or read book Introduction to Vector Analysis written by Frank M. Tiller and published by . This book was released on 1963 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt:

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 : Archibald Edward Coulson
Publisher :
ISBN 13 :
Total Pages : 188 pages
Book Rating : 4.42/5 ( download)

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Download or read book An Introduction to Vectors written by Archibald Edward Coulson and published by . This book was released on 1967 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Hague B.
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.46/5 ( download)

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Download or read book Introduction to Vector Analysis written by Hague B. and published by . This book was released on 1988 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : N. Kemmer
Publisher : CUP Archive
ISBN 13 : 9780521211581
Total Pages : 276 pages
Book Rating : 4.81/5 ( download)

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Download or read book Vector Analysis written by N. Kemmer and published by CUP Archive. This book was released on 1977-01-20 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Vector analysis provides the language that is needed for a precise quantitative statement of the general laws and relationships governing such branches of physics as electromagnetism and fluid dynamics. The account of the subject is aimed principally at physicists but the presentation is equally appropriate for engineers. The justification for adding to the available textbooks on vector analysis stems from Professor Kemmer's novel presentation of the subject developed through many years of teaching, and in relating the mathematics to physical models. While maintaining mathematical precision, the methodology of presentation relies greatly on the visual, geometric aspects of the subject and is supported throughout the text by many beautiful illustrations that are more than just schematic. A unification of the whole body of results developed in the book - from the simple ideas of differentiation and integration of vector fields to the theory of orthogonal curvilinear coordinates and to the treatment of time-dependent integrals over fields - is achieved by the introduction from the outset of a method of general parametrisation of curves and surfaces.

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.