Vector Calculus, Linear Algebra and Differential Forms
Format: Hardcover
ISBN13: 9780136574460
Hardcover|9780136574460
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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 p
| ISBN-13 | 9780136574460 |
|---|---|
| ISBN-10 | 0136574467 |
| Weight | 2.97 Pounds |
| Dimensions | 8.25 x 1.25 x 9.50 In |
| List Price | $93.33 |
| Edition | 1st Edition |
| Format | Hardcover |
|---|---|
| Language | English |
| Pages | 687 pages |
| Publisher | Pearson College Div |
| Published On | 1998-09-21 |
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