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A History of Vector Analysis

1994-01-01 Mathematics
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Release : 1994-01-01
Genre : Mathematics
Kind : eBook
Book Rating : 101/5 ( reviews)

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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. This book was released on 1994-01-01. 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 Analysis

2012-06-22 Mathematics
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Release : 2012-06-22
Genre : Mathematics
Kind : eBook
Book Rating : 84X/5 ( reviews)

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Book Synopsis Vector Analysis by : Louis Brand

Download or read book Vector Analysis written by Louis Brand. This book was released on 2012-06-22. 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.

Vector and Tensor Analysis with Applications

2012-08-28 Mathematics
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Release : 2012-08-28
Genre : Mathematics
Kind : eBook
Book Rating : 904/5 ( reviews)

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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. This book was released on 2012-08-28. 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.

Vector Analysis Versus Vector Calculus

2012-03-29 Mathematics
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Release : 2012-03-29
Genre : Mathematics
Kind : eBook
Book Rating : 000/5 ( reviews)

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Book Synopsis Vector Analysis Versus Vector Calculus by : Antonio Galbis

Download or read book Vector Analysis Versus Vector Calculus written by Antonio Galbis. This book was released on 2012-03-29. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to facilitate the use of Stokes' Theorem in applications. The text takes a differential geometric point of view and provides for the student a bridge between pure and applied mathematics by carefully building a formal rigorous development of the topic and following this through to concrete applications in two and three variables. Key topics include vectors and vector fields, line integrals, regular k-surfaces, flux of a vector field, orientation of a surface, differential forms, Stokes' theorem, and divergence theorem. This book is intended for upper undergraduate students who have completed a standard introduction to differential and integral calculus for functions of several variables. The book can also be useful to engineering and physics students who know how to handle the theorems of Green, Stokes and Gauss, but would like to explore the topic further.

Vector Analysis and Cartesian Tensors

2014-05-10 Mathematics
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Release : 2014-05-10
Genre : Mathematics
Kind : eBook
Book Rating : 704/5 ( reviews)

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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. This book was released on 2014-05-10. 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.

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