Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach

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9780136574460: Vector Calculus, Linear Algebra and Differential Forms: A Unified Approach

Using a dual-presentation that is rigorous and comprehensive--yet exceptionally "student-friendly" in approach--this 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.

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From the Author:

Several readers have complained about the lack of a student solution manual. One now exists, published by Matrix Editions. Errata for the book are posted on the book web site (URL given in the book). The most recent posting was Feb. 29, 2002. Readers who wish to be notified by e-mail when new errata are posted can sign up via the web site or e-mail the authors (address given in the book).

What's new in the second edition (the one with the pale yellow cover now being sold):

The main change is that we introduce a new approach to Lebesgue integration. In addition, the second edition has approximately 270 additional exercises and 50 additional examples. We have added pictures of mathematicians and more historical notes. There are now end-of-section exercises, as well as review exercises for Chapters 1--6. Some useful formulas are listed on the back cover.

More difficult material from Chapter 0 was moved to the Appendix. The inverse and implicit function theorems have been rewritten. In Chapter 3 we simplified the definition of a manifold, and we now begin with the general case and discuss curves and surfaces as examples. Similarly, in Chapter 5, we eliminated the separate sections on arc length and surface area; we now have one section on volume of manifolds.

In Chapter 6, we rewrote the discussion of orientation and changed the definition of a piece-with-boundary of a manifold, to make it both simpler and more inclusive.

From the Back Cover:

Covers most of the standard topics in multivariate calculus, and a substantial part of a standard first course in linear algebra. Using a dual-presentation that is rigorous and comprehensive — yet exceptionally “reader-friendly” in approach, this book focuses on underlying ideas, integrates theory and applications, and features coverage of differential forms and an emphasis on numerical methods.

"Sobre este título" puede pertenecer a otra edición de este libro.

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Hubbard, Barbara Burke; Hubbard, John H.
Editorial: Prentice Hall College Div
ISBN 10: 0136574467 ISBN 13: 9780136574460
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Descripción Prentice Hall College Div. Hardcover. Estado de conservación: New. 0136574467 New. Looks like an interesting title, learn more! We provide domestic tracking upon request. We provide personalized customer service and want you to have a great experience purchasing from us. 100% satisfaction guaranteed and thank you for your consideration. Nº de ref. de la librería S-0136574467

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Hubbard, Barbara Burke, Hubbard, John H.
Editorial: Prentice Hall College Div (1998)
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Descripción Prentice Hall College Div, 1998. Hardcover. Estado de conservación: New. Nº de ref. de la librería P110136574467

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Barbara Burke Hubbard, John H. Hubbard
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Barbara Burke Hubbard; John H. Hubbard
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Barbara Burke Hubbard; John H. Hubbard
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