文档介绍：Differential
with Applications to
the Physical Sciences
Harley Flanders
University of Michigan, Ann Arbor
DOVER PUBLICATIONS, INC.
New York
Copyright O 1963,1989 by Harley Flanders.
All rights reserved under Pan American and International
Copyright Conventions.
Published in Canada by General pany, Ltd.,
30 Lesmill Road, Don Mills, Toronto, Ontario.
Published in the United Kingdom by Constable -
pany, Ltd.
This Dover edition, first published in 1989, is an unabridged,
corrected republication of the work originally published in
1963 by Academic Press, Inc., New York. Please see the Preface
to the Dover Edition on page ix for an explanation of revisions
made in this text.
Manufactured in the United States of America
Dover Publications, Inc., 31 East 2nd Street, Mineola, .
11501
Library of Congress Cataloging-in-Publication Data
Flanders, Harley.
Differential forms with applications to the physical sci-
ences / Harley Flanders.
p. cm.
"Unabridged, corrected republication of the work origi-
nally published in 1963 by Academic Press, Inc., New York "-
. verso.
Includes bibliographical references.
ISBN 0-486-66169-5
1. Differential forms. 2. Mathematical physics.
I. Title.
1989 89-36d6
-dc20 CIP
To June
Foreword
After several friendly discussions of the pros and cons of tensors versus
differential forms in the solution of engineering problems, I persuaded my
colleague Dr. Flanders to prepare a number of lectures on differential forms.
The result was an. outstanding series of lectures which was presented to a
group of interested faculty members within the several schools of Engineering
at Purdue University.
It became obvious to those attending that the use of differential forms
would give them another tool for the analysis and synthesis of engineering
systems. There are certain problems, normally very difficult to solve by
using tensors only, f