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73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997

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Page 1: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
Page 2: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997

•IV, ra,

an informal text

Page 3: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997

h. ffi. schey

cur,and all that

on vector calculus

third edition

00 w· W . NORTON & COMPANY

New York· London

Page 4: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997

Copynght © 1997, 1992, 1973 by W W Norton &Company, Inc

All rights reservedPnnted in the United States of Amenca

The text of this book i<; compo<;ed in Times Roman with thedi<;play set in Optima Composition by University Graphics,Inc

Library of Congress Cataloging-in-Publication DataSchey, H. M. (Harry Montz), 1930-

Div, grad, curl, and all that an informal text on vectorcalculu<; I H M Schey -3rd ed

p cmIncludes bibliographical references (pp 160-61 and

indexI Vector analysis I Title

QA433 S28 1996515' 63-dc20 96-4942

ISBN 0-393-96997-5 (pbk )

W W Norton & Company. Inc, 500 Fifth Avenue, NewYork. NY 10110 http Ilweb wwnorton comW W Norton & Company. Ltd. 10 Coptic Street, LondonWCIA IPU

1 2 3 4 5 6 7 890

Page 5: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997

Zusammengestohlen aus Verschiedenem diesem und jenem

Ludwig van Beethoven

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Page 14: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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square it to get the vector
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Page 15: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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square it, to get the vector many circles, different size
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Page 17: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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electrostatic filed due to q at q0
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Electrostatic field at q due to all the charges of sum ql.
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Page 18: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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Page 19: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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Plot3D[x^2+y^2,{x,0,10},{y,0,10},ViewPoint->{3,2,4}] Layers of curved parabola surfaces
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square to see curves
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normal to a surface. SURFACE ! SURFACE!
Page 24: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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unit normal vector of a sphere
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Page 28: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
Page 29: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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Page 30: 73170356 Div Grad Curl and All That an Informal Text on Vector Calculus 3rd Ed H M Schey 1997
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MATH. EXERCISES. GRADIENT, DIVERGENCE, … ∇ we can denote grad, div and curl as below: grad(ϕ)= ∇ϕ div F F r r ( ) = ∇• curl F F r r ( ) = ∇× Note that F •∇ r is

MATH. EXERCISES. GRADIENT, DIVERGENCE, … ∇ we can denote grad, div and curl as below: grad(ϕ)= ∇ϕ div F F r r ( ) = ∇• curl F F r r ( ) = ∇× Note that F •∇ r is

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