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 Paul Dawkins - Lamar University
These lecture notes should be accessible to anyone wanting to learn Calculus II or needing a refresher in some of the topics from the class. The notes assume a good knowledge of Calculus I topics including limits, derivatives and basic integration.
by John William Mercer - Cambridge University Press
The author has been guided by the conviction that it is much more important for the beginner to understand clearly what the processes of the Calculus mean, and what it can do for him, than to acquire facility in performing its operations.
by Leah Edelstein-Keshet - University of British Columbia
Contents: Areas, volumes and simple sums; Fundamental Theorem of Calculus; Applications of the definite integral to velocities and rates, calculating volume, mass, and length; Techniques of Integration; Differential Equations; Infinite series...
by John Perry - E. Arnold
This book describes what has for many years been the most important part of the regular college course in the Calculus for Mechanical and Electrical Engineering students. The students knew only the most elementary mathematics.