Vector Calculus
by Paul C. Matthews
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Book Summary Information
Author: Paul C. MatthewsEdition: Paperback
Audio: English (Original Language); English (Unknown); English (Published)
Published: 2000-06-12
ISBN: 3540761802
Number of pages: 200
Publisher: Springer
Accessories:
- Stochastic Calculus for Finance I: The Binomial Asset Pricing Model (Springer Finance)
- Applied Partial Differential Equations:: A Visual Approach
- Stochastic Calculus for Finance II: Continuous-Time Models (Springer Finance)
Book Reviews of Vector Calculus
Book Review: Handicapped by a Big Slosh of English Snootiness and Geometrical Pomposity, but
Summary: 4 Stars
its selection of problems and its focus on vector calculus are both quite good. Perhaps both are excellent, but my current experience and intuition in this subject area prevent me from being more certain.
Either way, a much more physically intuitive approach with more problem-solution examples and less geometrical rigor is possible, that much is certain.
Most importantly, in-text solutions are provided. There is no problem with merely an answer, all have something more. There are way fewer problems as compared to a schaum's outline (on the order of 30 times fewer). Though it also costs two or three times more than a Schaum's, it's certainly much more physically intuitive than the Schaum's on vector/tensor analysis by Murray R. Spiegel.
I think this book would make its publisher and author a lot more money (by selling a hell of a lot more of them) if it were reduced in price. It would be a win-win for everybody who, I'm pretty certain, matters here.
Summary of Vector Calculus
Vector calculus is the foundation stone on which a vast amount of applied mathematics is based. Topics such as fluid dynamics, solid mechanics and electromagnetism depend heavily on the calculus of vector quantities in three dimensions. This book covers the material in a comprehensive but concise manner, combining mathematical rigour with physical insight. There are many diagrams to illustrate the physical meaning of the mathematical concepts, which is essential for a full understanding of the subject. Each chapter concludes with a summary of the most important points, and there are worked examples that cover all of the material. The final chapter introduces some of the most important applications of vector calculus, including mechanics and electromagnetism.General Books
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