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

By: Schey, H. M Material type: Text

TextLanguage: English Publication details: New York : W.W. Norton, c2005. Edition: 4th edDescription: viii, 163 p. : ill. ; 24 cmISBN: 0393925161 (pbk.); 9780393925166Subject(s): Vector analysisDDC classification: 515.63 LOC classification: QA433 | .S28 2005Online resources: WorldCat details | E-book Fulltext

Contents:

TOC 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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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Barcode
E-Book	Dr. S. R. Lasker Library, EWU E-book	Non-fiction	515.63 SCD 2005 (Browse shelf(Opens below))		Not for loan
Text	Dr. S. R. Lasker Library, EWU Reserve Section	Non-fiction	515.63 SCD 2005 (Browse shelf(Opens below))	C-1	Not For Loan	18922
Text	Dr. S. R. Lasker Library, EWU		515.63 SCD (Browse shelf(Opens below))	C-2	Available	5299-18923

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Previous	515.35 ROD 1984 Differential equations /	515.35 ZIF 2013 A first course in differential equations with modeling applications /	515.353 PIP 1998 Partial differential equations and boundary-value problems with applications /	515.63 SCD 2005 Div, grad, curl, and all that :	515.9 LIS 2009 Schaum's outlines vector analysis and an introduction to tensor analysis/	515 ANC 2010 Calculus :	515 ANC 2012 Calculus /	Next

Includes index.

TOC 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.

APE

Sagar Shahanawaz

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