# Div, grad, curl, and all that : an informal text on vector calculus / H.M. Schey.

##### By: Schey, H. M.

Material type: TextPublisher: New York : W.W. Norton, c2005Edition: 4th ed.Description: viii, 163 p. : ill. ; 24 cm.ISBN: 0393925161 (pbk.); 9780393925166.Subject(s): Vector analysisDDC classification: 515.63 Online resources: WorldCat details | E-book FulltextItem type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode | Item holds |
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E-Book | EWU Library E-book | Non-fiction | 515.63 SCD 2005 (Browse shelf) | Not for loan | ||||

Text | EWU Library Reserve Section | Non-fiction | 515.63 SCD 2005 (Browse shelf) | C-1 | Not For Loan | 18922 | ||

Text | EWU Library | 515.63 SCD (Browse shelf) | C-2 | Available | 5299-18923 |

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Includes index.

Table of contents I. Introduction, vector functions, and electrostatics --

Introduction --

Vector functions --

Electrostatics --

Problems --

II. Surface integrals and the divergence --

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 --

III. Line integrals and the curl --

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 simpl connected regions --

Path independence and the curl --

Problems --

IV. The gradient --

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 --

Solutions to problems.

Applied Physics & Electronics

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