Description

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.

Calculus for Cranks

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Paperback / softback by Nets Hawk Katz

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A new approach to the foundations of single variable calculus, based on the introductory course taught at Caltech In mathematics,... Read more

    Publisher: Yale University Press
    Publication Date: 23/03/2021
    ISBN13: 9780300242799, 978-0300242799
    ISBN10: 0300242794

    Number of Pages: 264

    Non Fiction , Mathematics & Science , Education

    Description

    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.

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