Calculus For Cranks(1st Edition)
Authors:
Nets Hawk Katz
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Book details
ISBN: 0300242794, 978-0300242799
Book publisher: Yale University Press
Book Summary: 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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