Yet Another Calculus Text
by Dan Sloughter
2007
Number of pages: 147
Description:
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.
Download or read it online for free here:
Download link
(3.9MB, PDF)
Similar books
Elements of the Differential and Integral Calculusby William Anthony Granville - Ginn
Variables and functions, theory of limits, differentiation, rules for differentiating standard elementary form, successive differentiation, maxima and minima, differentials, rates, curvature, theorem of mean value, partial differentiation, etc.
(18697 views)
Graphical Calculusby 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.
(14052 views)
A Brief Introduction to the Infinitesimal Calculusby 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.
(7163 views)
Real Functions in One Variable: Calculus 1aby 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.
(14109 views)