To counter this many illustrative examples are incorporated into the text instead of being set apart formally. Students doing homework exercises acquire the habit of searching for an illustrative example which they can imitate and thereby do the exercises without thinking. More drill exercises have been added, the exercises have been carefully graded as to difficulty, and there are more illustrative examples. In addition to extending the scope of the applications, I have made a number of other improvements.
But since students have no idea of how these quantities are used, the only consequence is that the gravity of the problems produces inertia in the students.
Many calculus texts dispose of applications by asking students to calculate centers of gravity and moments of inertia. Moreover, since most students who take calculus will be scientists or engineers, they will be highly motivated by the applications. The theory and technique of the calculus are, in themselves, meaningless. Several sections on physical applications have been dropped and applications to the social and biological sciences have been added instead. Most of the applications still belong with the physical sciences however, no knowledge of physics is presupposed. The rigorous approach should be reserved for a course in advanced calculus for mathematicians. Rigor undoubtedly refines the intuition but does not supplant it. Though this chapter could be used in conjunction with the opening chapters of the book, I do not recommend doing so the rigorous presentation is difficult to grasp and obscures the understanding. As to the approach, the last chapter introduces a rigorous treatment. The basic features of the first edition have been retained, such as the intuitive approach and real applications. Morris Kline 1908–1992 Mathematician, Educator 98-36211 QA303.K68 1998 CIP 515-dc21 Manufactured in the United States by Courier Corporation 40453609 Dedicated to the memory of “An unabridged republication of the work originally published in 1977 by John Wiley and Sons, Inc., New York”-T.p. Readers who would like to receive the solutions to the exercises may request them from the publisher at the following e-mail address: Library of Congress Cataloging-in-Publication Data Kline, Morris, 1908– Calculus : an intuitive and physical approach, second edition / Morris Kline. Bibliographical Note This Dover edition, first published in 1998, is an unabridged republication of the work originally published in 1977 by John Wiley and Sons, Inc., New York. Mineola, New YorkĬopyright Copyright © 1967, 1977 by John Wiley & Sons, Inc. CALCULUS An Intuitive and Physical ApproachĭOVER PUBLICATIONS, INC.
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