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The Calculus

A Genetic Approach
Book Hero Magic crafted this summary to help describe this book. While it's new and still learning, it may not be perfect - your feedback is welcome! Summary
The Calculus by Otto Toeplitz is a profound exploration of the historical and conceptual foundations of calculus. It offers readers an insightful journey through its development, from ancient beginnings to its formalisation in the 17th century, combining precise mathematical analysis with historical context to deepen the understanding of this essential mathematical tool. The book appeals to both the mathematically inclined and those interested in the history of mathematical thought.
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Format: Paperback / softback
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Book Hero Magic created this recommendation. While it's new and still learning, it may not be perfect - your feedback is welcome! IS THIS YOUR NEXT READ?

If you have an interest in understanding the foundations of calculus with clear explanations and historical insights, this book may appeal to you. It offers a comprehensive yet accessible exploration of the concepts and development of calculus, making it ideal for both students seeking to grasp its principles and those curious about its historical significance.

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The Calculus

Otto Toeplitz did not teach calculus as a static system of techniques and facts to be memorized. Instead, he drew on his knowledge of history of mathematics and presented calculus as an organic evolution of ideas. Through this approach, Toeplitz elucidated mathematical advances that contributed to modern calculus. This work deals with this topic.

Book Hero Magic formatted this description to make it easier to read. While it's new and still learning, it may not be perfect - your feedback is welcome! Description

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 memorised.

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 summarised 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.

Book Hero Magic summarised reviews for this book. While it's new and still learning, it may not be perfect - your feedback is welcome! HOW HAS THIS BEEN REVIEWED?

The Calculus by Otto Toeplitz is praised for its insightful exploration of the historical development of calculus and its foundational problems. The book is described as both delightful and entertaining, making complex mathematical concepts accessible through well-crafted explanations. It's recommended as a source of enjoyment and learning for anyone interested in understanding calculus more deeply.

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Book Details

INFORMATION

ISBN: 9780226806686

Publisher: The University of Chicago Press

Format: Paperback / softback

Date Published: 01 May 2007

Country: United States

Imprint: University of Chicago Press

Contributors:

  • Foreword by David Bressoud

Audience: Professional and scholarly

DIMENSIONS

Spine width: 1.0mm

Width: 14.0mm

Height: 22.0mm

Weight: 284g

Pages: 201

About the Author

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

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