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Vector Calculus

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Vector Calculus Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.

Synopsis:

This introduction to the differential and integral calculus of functions of several variables offers a rigorous and comprehensive treatment. The classical theorems of vector calculus are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.1986 edition.

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

Product Details

ISBN:
9780486466200
Author:
Baxandall, Peter
Publisher:
Dover Publications
Author:
Baxandall, P. R.
Author:
Baxandall, Peter R.
Author:
Mathematics
Author:
Liebeck, Hans
Subject:
Calculus
Subject:
Vector Analysis
Subject:
Mathematics : Vector Analysis
Edition Description:
Trade Paper
Series:
Dover Books on Mathematics
Publication Date:
20080731
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
560
Dimensions:
8.5 x 5.38 in 1.31 lb

Related Subjects

History and Social Science » World History » General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Vector Analysis

Vector Calculus New Trade Paper
0 stars - 0 reviews
$27.95 In Stock
Product details 560 pages Dover Publications - English 9780486466200 Reviews:
"Synopsis" by ,
This introductory text offers a rigorous, comprehensive treatment. Classical theorems of vector calculus are amply illustrated with figures, worked examples, physical applications, and exercises with hints and answers. 1986 edition.
"Synopsis" by ,
This introduction to the differential and integral calculus of functions of several variables offers a rigorous and comprehensive treatment. The classical theorems of vector calculus are amply illustrated with figures, worked examples, and physical applications. Numerous exercises, with hints and answers, range from routine calculations to theoretical problems.1986 edition.
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