文档介绍：Mathematical
Modelling:
Classroom Notes in
Applied Mathematics
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Philadelphia 1987
Mathematical
Modelling:
Classroom Notes in
Applied Mathematics
Edited by Murray S. Klamkin
To Irene, and not only for her patience and assistance in the preparation of
this monograph.
All rights reserved. Printed in the United States of America. No part of this book
may be reproduced or transmitted in any manner without the written permission
of the Publisher. For information, write the Society for Industrial and Applied
Mathematics, 3600 University City Science Center, Philadelphia, PA 19104-2688.
Library of Congress Catalog Card Number 86-60090
ISBN 0-89871-204-1
Copyright © 1987 by the Society for Industrial and Applied Mathematics
Second printing 1989.
Third printing 1995.
The Doctrine of the Whole Man*
Mathematics has elements that are spatial, kinesthetic, elements that are arithmetic or
algebraic, elements that are verbal, programmatic. It has elements that are logical, didactic and
elements that are intuitive, or even counter-intuitive. It has elements that are related to the exterior
world and elements that seem to be self generated. It has elements that are rational and elements
that are irrational or mystical. These may pared to different modes of consciousness.
To place undue emphasis on one element or group of elements upsets a balance. It results
in an impoverishment of the science and represents an unfulfilled potential. The doctrine of the
whole man says that we must bring everything we have to bear on our subject. We must not block
off arbitrarily any mode of experience or thought. "There is a Nemesis," says Whitehead, "which
waits upon those who deliberately avoid avenues of knowledge."
We must realize that the future of the subject depends only in part on the contribution of
those who have rigid establishment interest or training in the subject. As regards this training
and our own teachin