Concise Vector Analysis

Concise Vector Analysis PDF

Author: C. J. Eliezer

Publisher: Courier Dover Publications

Published: 2016-01-14

Total Pages: 160

ISBN-13: 0486809234

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This concise introduction to the methods and techniques of vector analysis is suitable for college undergraduates in mathematics as well as students of physics and engineering. Rich in exercises and examples, the straightforward presentation focuses on physical ideas rather than mathematical rigor. The treatment begins with a chapter on vectors and vector addition, followed by a chapter on products of vector. Two succeeding chapters on vector calculus cover a variety of topics, including functions of a vector; line, surface, and volume integrals; the Laplacian operator, and more. The text concludes with a survey of standard applications, including Poinsot's central axis, Gauss's theorem, gravitational potential, Green's theorems, and other subjects.

Tensor and Vector Analysis

Tensor and Vector Analysis PDF

Author: C. E. Springer

Publisher: Courier Corporation

Published: 2013-09-26

Total Pages: 256

ISBN-13: 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.

Vector and Tensor Analysis with Applications

Vector and Tensor Analysis with Applications PDF

Author: A. I. Borisenko

Publisher: Courier Corporation

Published: 2012-08-28

Total Pages: 288

ISBN-13: 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.

Vector Analysis

Vector Analysis PDF

Author: Louis Brand

Publisher: Courier Corporation

Published: 2012-06-22

Total Pages: 306

ISBN-13: 048615484X

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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 Analysis and Cartesian Tensors

Vector Analysis and Cartesian Tensors PDF

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.

Vector Analysis from Scratch

Vector Analysis from Scratch PDF

Author: David Smith

Publisher: Independently Published

Published: 2021-07-24

Total Pages: 154

ISBN-13:

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Vector analysis is a very useful and a powerful tool for physicists and engineers alike. It has applications in multiple fields. Although it is not a particularly difficult subject to learn, students often lack a proper understanding of the concepts on a deeper level. This restricts its usage to a mere mathematical tool.That's where this book hope to be different. We don't want this subject to be treated just as a mathematical tool. We hope to go beyond it. Therefore, the emphasis is to provide physical interpretation to the various concepts in the subject with the help of illustrative figures and intuitive reasoning. Having said that, we have given adequate importance to the mathematical aspect of the subject as well. 100+ solved examples given in the book will give the reader a definite edge when it comes to problem solving.For beginners this book will provide a concise introduction to the world of vectors in a unique way. The various concepts of the subject are arranged logically and explained in a simple reader-friendly language, so that they can learn with minimum effort in quick time. For experts, this book will a great refresher.The first 2 chapters focus on the basics of vectors. In chapters 3 to 5 we dig into vector calculus. Chapter 6 is all about vectors in different coordinate systems and finally chapter 7 focuses on the applications of vectors in various fields like engineering mechanics, electromagnetism, fluid mechanics etc.

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