The Calculus : A Genetic Approach / Otto Toeplitz.

Format:

Book

Author/Creator:

Toeplitz, Otto, Author.

Contributor:

Bressoud, David

Standardized Title:

Entwicklung der Infinitesimalrechnung. English

Language:

English

Subjects (All):

Calculus.

Processes, Infinite.

Physical Description:

1 online resource (210 p.)

Place of Publication:

Chicago : University of Chicago Press, [2018]

Language Note:

English

Summary:

When first published posthumously in 1963, this book presented a radically different approach to the teaching of calculus. In sharp contrast to the methods of his time, Otto Toeplitz did not teach calculus as a static system of techniques and facts to be memorized. Instead, he drew on his knowledge of the history of mathematics and presented calculus as an organic evolution of ideas beginning with the discoveries of Greek scholars, such as Archimedes, Pythagoras, and Euclid, and developing through the centuries in the work of Kepler, Galileo, Fermat, Newton, and Leibniz. T

Contents:

Frontmatter

FOREWORD TO THE CALCULUS: A GENETIC APPROACH BY OTTO TOEPLITZ

PREFACE TO THE GERMAN EDITION

PREFACE TO THE ENGLISH EDITION

TABLE OF CONTENTS

I. THE NATURE OF THE INFINITE PROCESS

II. THE DEFINITE INTEGRAL

III. DIFFERENTIAL AND INTEGRAL CALCULUS

IV. APPLICATIONS TO PROBLEMS OF MOTION

EXERCISES

BIBLIOGRAPHY

BIBLIOGRAPHICAL NOTES

INDEX

Notes:

"Published in association with the Mathematical Association of America."

Originally published: Chicago : University of Chicago Press, c1963.

Includes bibliographical references (p. 183-189) and index.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 24. Apr 2020)

ISBN:

9780226806693

0226806693

OCLC:

318240475