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Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (2nd Edition)
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Home > Mathematics Books > Linear Algebra > Item 71
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Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (2nd Edition)
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by John H. Hubbard and Barbara Burke Hubbard
Sales Rank: 632113
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$73.81
At Amazon
on 10-13-2008
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Hardcover: 800 pages
Publisher: Prentice Hall; 2 edition September 15, 2001
Language: English
ISBN-10: 0130414085
ISBN-13: 978-0130414083
Product Dimensions:
9.5 x 8.4 x 1.3 inches
Shipping Weight: 3.4 pounds
Product Description
Using a dual presentation that is rigorous and comprehensiveyet exceptionaly reader-friendly in approachthis book covers most of the standard topics in multivariate calculus and an introduction to linear algebra. It focuses in underlying ideas, integrates theory and applications, offers a host of learning aids, features coverage of differential forms, and emphasizes numerical methods that highlight modern applications of mathematics. The revised and expanded content of this edition includes new discussions of functions; complex numbers; closure, interior, and boundary; orientation; forms restricted to vector spaces; expanded discussions of subsets and subspaces of R^n; probability, change of basis matrix; and more. For individuals interested in the fields of mathematics, engineering, and scienceand looking for a unified approach and better understanding of vector calculus, linear algebra, and differential forms.
From the Author
Several readers have complained about the lack of a student solution manual. One now exists, published by Matrix Editions. Errata for the book are posted on the book web site (URL given in the book). The most recent posting was Feb. 29, 2002. Readers who wish to be notified by e-mail when new errata are posted can sign up via the web site or e-mail the authors (address given in the book).
What's new in the second edition (the one with the pale yellow cover now being sold):
The main change is that we introduce a new approach to Lebesgue integration. In addition, the second edition has approximately 270 additional exercises and 50 additional examples. We have added pictures of mathematicians and more historical notes. There are now end-of-section exercises, as well as review exercises for Chapters 1--6. Some useful formulas are listed on the back cover.
More difficult material from Chapter 0 was moved to the Appendix. The inverse and implicit function theorems have been rewritten. In Chapter 3 we simplified the definition of a manifold, and we now begin with the general case and discuss curves and surfaces as examples. Similarly, in Chapter 5, we eliminated the separate sections on arc length and surface area; we now have one section on volume of manifolds.
In Chapter 6, we rewrote the discussion of orientation and changed the definition of a piece-with-boundary of a manifold, to make it both simpler and more inclusive.
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Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (2nd Edition)
Available from Amazon
Price: $73.81
Updated on 10-13-2008
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