9780393925166

Div Grad Curl 4E PA

by
  • ISBN13:

    9780393925166

  • ISBN10:

    0393925161

  • Edition: 4th
  • Format: Textbook Paperback
  • Copyright: 12/17/2004
  • Publisher: W W NORTON

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Supplemental Materials

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Summary

The Fourth Edition has been carefully revised and now includes updated notations and seven new example exercises.

Table of Contents

Preface to the Fourth Edition ix
Introduction, Vector Functions, and Electrostatics
1(10)
Introduction
1(1)
Vector Functions
2(3)
Electrostatics
5(3)
Problems
8(3)
Surface Integrals and the Divergence
11(52)
Gauss' Law
11(1)
The Unit Normal Vector
12(5)
Definition of Surface Integrals
17(4)
Evaluating Surface Integrals
21(10)
Flux
31(2)
Using Gauss' Law to Find the Field
33(4)
The Divergence
37(5)
The Divergence in Cylindrical and Spherical Coordinates
42(2)
The Del Notation
44(1)
The Divergence Theorem
45(4)
Two Simple Applications of the Divergence Theorem
49(3)
Problems
52(11)
Line Integrals and the Curl
63(52)
Work and Line Integrals
63(3)
Line Integrals Involving Vector Functions
66(5)
Path Independence
71(4)
The Curl
75(7)
The Curl in Cylindrical and Spherical Coordinates
82(4)
The Meaning of the Curl
86(5)
Differential Form of the Circulation Law
91(2)
Stokes' Theorem
93(6)
An Application of Stokes' Theorem
99(2)
Stokes' Theorem and Simply Connected Regions
101(2)
Path Independence and the Curl
103(1)
Problems
104(11)
The Gradient
115(41)
Line Integrals and the Gradient
115(6)
Finding the Electrostatic Field
121(3)
Using Laplace's Equation
124(7)
Directional Derivatives and the Gradient
131(6)
Geometric Significance of the Gradient
137(4)
The Gradient in Cylindrical and Spherical Coordinates
141(3)
Problems
144(12)
Solutions to Problems 156(5)
Index 161

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