The Cartoon Guide to Calculus
Going back to my roots in the math department, I’ve made a calculus primer. This Cartoon Guide covers the basics of first-year single-variable calculus with some novel graphic twists. Topics include functions, both algebraic and transcendental; limits; derivatives; the Chain Rule; implicit differentiation; optimization; the Mean Value Theorem; integrals; The Fundamental Theorem of the Calculus; integration techniques; and applications. The simple, graphic proof of the Chain Rule raises the usual question: “Why don’t they show that in standard textbooks?”
An ebook version—iPad compatible only—may now be ordered from iTunes.
Since the first printing, sharp-eyed readers have been sending me corrections to an assortment of mistakes in the text, from little typos to occasional clumsily handled or even cockeyed wrong problems. I update the Errata in Older Editions and Solutions to Selected Problems documents quasi-periodically; you should too! Most recent update: May 30, 2013 (both are pdfs).
A CORRECTED EDITION IS NOW IN PRINT. The new edition can be identified by an author’s note at the bottom of the the Acknowledgments page. On the copyright page, the corrected edition has a printing number of 4 or higher. Readers of the corrected edition should refer to this updated pdf of Solutions to Selected Problems in the Corrected Edition rather than the older document referenced above. I’m leaving that one up for owners of the earlier printings.
You can browse inside the book at the HarperCollins site.
HarperCollins, 256 pp.
Barnes & Noble