The Calculus

A Genetic Approach

Otto Toeplitz, David Bressoud

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English

Chicago University Press
01 June 2007

Mathematics & Sciences; Calculus

Series: Emersion: Emergent Village resources for communities of faith

When first published posthumously in 1963, this bookpresented 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. Through this unique approach, Toeplitz summarized and elucidated the major mathematical advances that contributed to modern calculus.

Reissued for the first time since 1981 and updated with a new foreword, this classic text in the field of mathematics is experiencing a resurgence of interest among students and educators of calculus today.

By: Otto Toeplitz
Foreword by: David Bressoud
Imprint: Chicago University Press
Country of Publication: United States
Edition: New edition
Dimensions: Height: 22mm, Width: 14mm, Spine: 1mm
Weight: 284g
ISBN: 9780226806686
ISBN 10: 0226806685
Series: Emersion: Emergent Village resources for communities of faith
Pages: 201
Publication Date: 01 June 2007
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

Otto Toeplitz (1881 - 1940) was a leading scholar in linear algebra and functional analysis and coauthor of The Enjoyment of Mathematics.

Reviews for The Calculus: A Genetic Approach

There is much that all of us can learn about the teaching of calculus from this book....It is above all a delightful and entertaining introduction to mathematical problems that have inspired the creation of calculus. Read it for the sheer enjoyment of well-crafted explanations. Read it to learn something new. - from the Foreword by David Bressoud