Bookbot

Vector Calculus, Linear Algebra and Differential Forms

A Unified Approach

Valutazione del libro

Maggiori informazioni sul libro

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

Pubblicazione

Acquisto del libro

Vector Calculus, Linear Algebra and Differential Forms, John H. Hubbard, Barbara Burke Hubbard

Lingua
Pubblicato
1998
product-detail.submit-box.info.binding
(Copertina rigida)
Non disponiamo più di questa copia specifica.
o
Visualizza l'edizione disponibile

Metodi di pagamento

5,0
Eccellente
1 Valutazioni

Qui potrebbe esserci la tua recensione.

Sottotitolo
A Unified Approach
Lingua
Inglese
Pubblicato
1998
Formato
Copertina rigida
Pagine
687
ISBN10
0136574467
ISBN13
9780136574460
Serie
Valutazione
5 su 5
Descrizione
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