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Download Vector Analysis and Cartesian Tensors, Third edition epub

by P C Kendall,D.E. Bourne

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.
Download Vector Analysis and Cartesian Tensors, Third edition epub
ISBN: 0748754601
ISBN13: 978-0748754601
Category: Science
Subcategory: Mathematics
Author: P C Kendall,D.E. Bourne
Language: English
Publisher: CRC Press; 3 edition (June 27, 1992)
Pages: 304 pages
ePUB size: 1167 kb
FB2 size: 1580 kb
Rating: 4.5
Votes: 739
Other Formats: lrf azw txt lit

I recommend Bourne and Kendall's text for anyone that is somewhat familiar with vector concepts and wants to delve a bit more deeply in vector analysis. The authors use a component analysis approach and even introduce tensor notation early. Emphasis is placed on transforms between cartesian, cylindrical, and spherical coordinates. Occasional reference is made to technical applications, but this book focuses on the mathematics, not the technical applications. However, a short chapter looks at potential field applications. My review is based on an early edition; more recent versions contain a chapter on Cartesian tensors.
I liked the way in which the authors introduced related topics like Jacobian transformations, scalar invariant operators, and differential geometry topics. Although the earliest edition is now a few decades old, the notation (del operator, coordinate suffixes, etc.) is current.
For an introductory text that is particularly suitable as a self-tutorial I highly recommend H. M. Schey's Div, Grad, Curl and All That, 3rd edition, available in paperback.
This is a clear introduction to the concepts and techniques of vector analysis. The emphasis is on practical mathematics. For those interested mainly in applications to physics or engineering, this book provides about as clear and concise a presentation as is possible. It will give the reader many of the mathematical tools needed to understand and solve problems in classical mechanics, electromagnetism, fluid dynamics, and other areas.
In my searching for a good book to help me better understand vector analysis, I found this book and liked it very much. The text is easily understandable and is a very good introduction to this subject.