Parameter
- 687 Seiten
- 25 Lesestunden
Mehr zum Buch
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
Buchkauf
Vector Calculus, Linear Algebra and Differential Forms, John H. Hubbard, Barbara Burke Hubbard
- Sprache
- Erscheinungsdatum
- 1998
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- Preis
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- Titel
- Vector Calculus, Linear Algebra and Differential Forms
- Untertitel
- A Unified Approach
- Sprache
- Englisch
- Autor*innen
- John H. Hubbard, Barbara Burke Hubbard
- Verlag
- Pearson College Div
- Erscheinungsdatum
- 1998
- Einband
- Hardcover
- Seitenzahl
- 687
- ISBN10
- 0136574467
- ISBN13
- 9780136574460
- Reihe
- Schlagwörter
- Sachbücher, Lehrbücher, Wissenschaft & Mathematik, Wissenschaft, Mathematik, Technologie, Künstliche Intelligenz
- Beschreibung
- 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


