Mathematics Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach (0130414085)

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Author: John H Hubbard and Barbara B Hubbard
Publisher: Prentice Hall
ISBN: 0130414085
Pages: 800

This text covers most of the standard topics in multivariate calculus and a substantial part of a standard first course in linear algebra. If, in addition, one teaches the proofs in Appendix A, the book can be used as a textbook for a course in analysis.The organization and selection of material differs from the standard approach in four ways.

We integrate linear algebra and multivariate calculus.
We emphasize computationally effective algorithms, and prove theorems by showing that those algorithms really work. This better reflects the way this mathematics is used today, in both applied and in pure mathematics.
we use differential forms to generalize the fundamental theorem of calculus to higher dimensions. This gives one elegant theorem, the generalized Stokes's theorem, that works in all dimensions. In contrast, vector calculus requires special formulas, operators, and theorems for each dimension where it works.
We provide a new approach to Lebesgue integration.

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	Science/Engineering The Matlab Workbook - A Supplement for Calculus, Differential Equations and Linear Algebra
	Steven H. Weintraub - Differential Forms: A Complement to Vector Calculus Steven H. Weintraub, "Differential Forms: A Complement to Vector Calculus"Academic Press \| ISBN 0127425101 \| Year 1996 \| 256 pages \| DjVu \| 2.6 MBBook DescriptionThis text is one of the first to treat vector calculus using differential form ...
	Science/Engineering Advanced Calculus: A Differential Forms Approach Harold M. Edwards "Advanced Calculus: A Differential Forms Approach" Birkhäuser Boston \| 1994-01-05 \| ISBN: 0817637079 \| 528 pages \| Djvu \| 4,9 MB An outstanding textbook, complete with examples, exercises, and solutions, for an advanc ...
	Science/Engineering Differential Forms: A Complement to Vector Calculus (Reupload) Steven H. Weintraub "Differential Forms: A Complement to Vector Calculus" Academic Press \| 1996-08-06 \| ISBN: 0127425101 \| 272 pages \| Djvu \| 2,5 MB This text is one of the first to treat vector calculus using differential forms in pla ...
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