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 Irving Fisher - Macmillan
Although intended primarily for economic students, the book is equally adapted to the use of those who wish a short course in 'The Calculus' as a matter of general education. I have had in mind not so much the classroom as the study.
by Virgil Snyder - American book company
The derivative is presented rigorously as a limit. Maxima and minima are discussed as the turning values in the variation of a function. The related theories of inflexions, curvature, and asymptotes receive direct and comprehensive treatment.
by Peter Saveliev - Intelligent Perception
This is a traditional first semester course in introductory calculus. The main goal is some familiarity with the derivative and its applications. Topics: Limits; Continuity; Limits; Differentiation; Maximum and minimum values of functions; Integral.
by Arthur Henry Barker - Longmans, Green, and Co.
All teachers of engineering and applied sciences generally now recognize the vast superiority of graphical over purely mathematical methods of imparting instruction of almost every description. The former are much more convincing to the student.