Vector Calculus

Author:   Peter Baxandall ,  Hans Liebeck
Publisher:   Dover Publications Inc.
ISBN:  

9780486466200


Pages:   560
Publication Date:   25 July 2008
Format:   Paperback
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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Vector Calculus


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Overview

Traditionally, linear algebra, vector analysis, and the calculus of functions of several variables are taught as separate subjects. This text explores their close relationship and establishes the underlying links. A rigorous and comprehensive introductory treatment, it features clear, readable proofs that illustrate the classical theorems of vector calculus, including the inverse and implicit function theorems. Prerequisites include a knowledge of elementary linear algebra and one-variable calculus.Starting with basic linear algebra and concluding with the integration theorems of Green, Stokes, and Gauss, the text pays particular attention to the relationships between different parametrizations of curves and surfaces, and it surveys their application in line and surface integrals. Concepts are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.

Full Product Details

Author:   Peter Baxandall ,  Hans Liebeck
Publisher:   Dover Publications Inc.
Imprint:   Dover Publications Inc.
Dimensions:   Width: 13.60cm , Height: 2.50cm , Length: 21.50cm
Weight:   0.550kg
ISBN:  

9780486466200


ISBN 10:   0486466205
Pages:   560
Publication Date:   25 July 2008
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   No Longer Our Product
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

1. Basic linear algebra and analysis 2. Vector-valued functions of R 3. Real-valued functions of R(superscript m) 4. Vector-valued functions of R(superscript m) 5. Path integrals in R(superscript n) 6. Line integrals in R(superscript n) 7. Double integrals in R(superscript 2) 8. Surfaces in R(superscript 3) 9. Integration over surfaces 10. Triple integrals in R(superscript 3) 11. Differential forms Bibliography Index

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