Vector Calculus, Linear Algebra, and Differential Forms 5th Edition, ISBN-13: 978-0971576681

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Vector Calculus, Linear Algebra, and Differential Forms 5th Edition, ISBN-13: 978-0971576681

[PDF eBook eTextbook]

• Publisher: ‎ Matrix Editions; 5th edition (January 1, 2015)
• Language: ‎ English
• ‎818 pages
• ISBN-10: ‎ 0971576688
• ISBN-13: ‎ 978-0971576681

This text covers most of the standard topics in multivariate calculus and part of a standard first course in linear algebra. It focuses on underlying ideas, integrates theory and applications, offers a host of pedagogical aids, and features coverage of differential forms and an emphasis on numerical methods to prepare students for modern applications of mathematics. * Covers important material that is usually omitted. * Presents more difficult and longer proofs (e.g. Proofs of the Kantorovitch theorem, the implicit function theorem) in an appendix. * Makes a careful distinction between vectors and points. * Features an innovative approach to the implicit function theorem and inverse function theorem using Newton’s method. * Always emphasizes the underlying meaning – what is really going on (generally, with a geometric interpretation). The chain rule is a composition of linear transformations; the point of the implicit function theorem is to guarantee that under certain circumstances, non-linear equations have solutions. * Integrates theory and applications. * Begins most chapters with a treatment of a linear problem and then shows how the 7 methods apply to corresponding non-linear problems.

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