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.
Home page url
Download or read it online for free here:
by H.W. March, H.C. Wolff - McGraw-Hill
Calculus for technical students. Integration with the determination of the constant of integration, and the definite integral as the limit of a sum, are given following the differentiation of algebraic functions and before transcendental functions.
by Brian S. Thomson - ClassicalRealAnalysis.com
Elementary introduction to integration theory on the real line. This is at the level of an honor's course in calculus or a first undergraduate level real analysis course. It prepares the student for a graduate level course in Lebesgue integration.
by Leif Mejlbro - BookBoon
Guidelines for solutions of problems concerning sequences and power series. It is not an alternative textbook, but it can be a useful supplement to the ordinary textbooks. The text presupposes some knowledge of calculus of functions in one variable.
by Frederick S Woods, Frederick H Bailey - Ginn and Company
This book is adapted to the use of students in the first year in technical school or college, and is based upon the experience of the authors teaching calculus to students in the Massachusetts Institute of Technology immediately upon entrance.