Calculus for Cranks Nets Hawk Katz

Publication date:
23 Mar 2021
Yale University Press
264 pages: 235 x 156 x 11mm
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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 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.

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