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 Leif Mejlbro - BookBoon
Most students already have assigned textbooks when studying Calculus I, therefore this free book takes a different approach. It focuses on explaining the central theories and warns students of the areas where mistakes are traditionally made.
by Faraz Hussain
Online introductory book on Calculus that focuses on concepts, without complex and abstract jargon. Integrated throughout the e-book are many engineering applications aimed at developing the student's scientific approach towards problem solving.
by Augustus De Morgan - The Open Court Pub. Co.
The style is fluent and familiar; the treatment continuous and undogmatic. The main difficulties which encompass the early study of the Calculus are discussed in connexion with practical and historical illustrations which leave little to be desired.
by Paul Garrett
A short text covering introductory calculus topics: functions, limits, derivatives, critical points, minimization and maximization, l’Hospital’s rule, higher derivatives, integration, area and definite integrals, numerical integration, etc.