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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
Achat du livre
Vector Calculus, Linear Algebra and Differential Forms, John H. Hubbard, Barbara Burke Hubbard
- Langue
- Année de publication
- 1998
- product-detail.submit-box.info.binding
- (rigide),
- État du livre
- Très bon
- Prix
- 97,99 €
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- Titre
- Vector Calculus, Linear Algebra and Differential Forms
- Sous-titre
- A Unified Approach
- Langue
- Anglais
- Auteurs
- John H. Hubbard, Barbara Burke Hubbard
- Éditeur
- Pearson College Div
- Publié
- 1998
- Format
- rigide
- Pages
- 687
- ISBN10
- 0136574467
- ISBN13
- 9780136574460
- Séries
- Mots clés
- Nonfiction, Manuels, Science et Mathématiques, Science, Mathématiques, Technologie, Intelligence Artificielle
- Description
- 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