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Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach by Barbara Burke Hubbard, John H. Hubbard (Hardcover, 1999)

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Product Description : Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach Using a dualpresentation that is rigorous and comprehensiveyet exceptionally studentfriendly in approachthis text covers most of the standard topics in multivariate calculus and a substantial 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 There is an emphasis on numerical methods to prepare students for modern applications of mathematics(IT'S AN USED PRODUCT)

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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) - eg. 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. *Notation is consistent - eg. Vectors are written as column vectors to avoid ambiguity between a matrix or its transpose.