Yet Another Calculus Text
by Dan Sloughter
Number of pages: 147
I intend this book to be, firstly, a introduction to calculus based on the hyperreal number system. In other words, I will use infinitesimal and infinite numbers freely. Just as most beginning calculus books provide no logical justification for the real number system, I will provide none for the hyperreals. Secondly, I have aimed the text primarily at readers who already have some familiarity with calculus. Although the book does not explicitly assume any prerequisites beyond basic algebra and trigonometry, in practice the pace is too fast for most of those without some acquaintance with the basic notions of calculus.
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by Robert Ghrist - University of Pennsylvania
This text is meant to be read and enjoyed. It assumes you've seen some Calculus before: you know what to do (differentiate / integrate) and how to do it, but you don't know what it really means -- like everything else in life ...
by Matt Boelkins - Grand Valley State University
Where many texts present a general theory of calculus followed by substantial collections of worked examples, we instead pose problems or situations, consider possibilities, and then ask students to investigate and explore.
by William Cain - D. Van Norstrand company
This book is intended not only for the class-room, but for the student without a teacher, who hopes to acquire some knowledge of the working principles of the Calculus in a short time. The book presupposes some knowledge of Geometry ...
by Silvanus P. Thompson - The MacMillan Company
A book for the mathematically eager who know some algebra. First published in 1910, overall a million copies have been sold. Most talk of continuum and its infinities is suppressed. A remarkable and user-friendly approach to the study of calculus.