Paperback. A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech In mathematics, cranks are people who insist they understand something new about math even when the world tells them they are doing it wrong. This introduction to calculus is written with those cranks in mind, based on the foundational course that Nets Katz teaches at Caltech. It emphasizes the practical purposes of the foundations, such as tracking errors in calculations. In addition to covering the basics of single variable calculus, the book outlines the mathematical methodthe ability to express oneself with absolute precision and then to use logical proofs to establish that certain statements are universally true. Katz emphasizes conceptual clarity, as well as testing hypotheses and writing complete proofs. The result is a rigorous calculus book of use not only to future mathematicians but also to scientists and engineers. A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech Shipping may be from multiple locations in the US or from the UK, depending on stock availability.

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Bibliographic Details

Title: Calculus for Cranks (Paperback)
Publisher: Yale University Press
Publication Date: 2021
Language: English
ISBN 10: 0300242794
ISBN 13: 9780300242799
Binding: Paperback
Condition: new

About this title

Synopsis

A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech

In mathematics, “cranks” are people who insist they understand something new about math even when the world tells them they are doing it wrong. This introduction to calculus is written with those cranks in mind, based on the foundational course that Nets Katz teaches at Caltech. It emphasizes the practical purposes of the foundations—for example, for tracking errors in calculations. In addition to covering the basics of single variable calculus, the book outlines the mathematical method—the ability to express oneself with absolute precision and then to use logical proofs to establish that certain statements are universally true. Katz emphasizes conceptual clarity as well as testing hypotheses and writing complete proofs. The result is a rigorous calculus book of use not only to future mathematicians but also to scientists and engineers.

About the Author

Nets Hawk Katz is International Business Machines Professor of Mathematics at the California Institute of Technology. He was a Guggenheim fellow in 2012 and the winner of the Clay Research Award in 2016.

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