- #1
- 22,183
- 3,322
- Author: H.M. Schey
- Title: Div, Grad, Curl, and All That: An Informal Text on Vector Calculus
- Amazon Link: https://www.amazon.com/dp/0393925161/?tag=pfamazon01-20
- Prerequisities: Calculus 1,2,3
Table of Contents:
Code:
[LIST]
[*] Preface
[*] Introduction, Vector Functions, and Electrostatics
[LIST]
[*] Introduction
[*] Vector Functions
[*] Electrostatics
[*] Problems
[/LIST]
[*] Surface Integrals and the Divergence
[LIST]
[*] Gauss' Law
[*] The Unit Normal Vector
[*] Definition of Surface Integrals
[*] Evaluating Surface Integrals
[*] Flux
[*] Using Gauss' Law to Find the Field
[*] The Divergence
[*] The Divergence in Cylindrical and Spherical Coordinates
[*] The Del Notation
[*] The Divergence Theorem
[*] Two Simple Applications of the Divergence Theorem
[*] Problems
[/LIST]
[*] Line Integrals and the Curl
[LIST]
[*] Work and Line Integrals
[*] Line Integrals Involving Vector Functions
[*] Path Independence
[*] The Curl
[*] The Curl in Cylindrical and Spherical Coordinates
[*] The Meaning of the Curl
[*] Differential Form of the Circulation Law
[*] Stokes' Theorem
[*] An Application of Stokes' Theorem
[*] Stokes' Theorem and Simply Connected Regions
[*] Path Independence and the Curl
[*] Problems
[/LIST]
[*] The Gradient
[LIST]
[*] Line Integrals and the Gradient
[*] Finding the Electrostatic Field
[*] Using Laplace's Equation
[*] Directional Derivatives and the Gradient
[*] Geometric Significance of the Gradient
[*] The Gradient in Cylindrical and Spherical Coordinates
[*] Problems
[/LIST]
[*] Solutions to Problems
[*] Bibliography
[*] Index
[/LIST]
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