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

By: Schey, H. M.
Material type: TextTextPublisher: 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 Fulltext
Contents:
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.
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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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