Foundations of Infinitesimal Calculus
by H. Jerome Keisler
Publisher: University of Wisconsin 2011
Number of pages: 213
This monograph is a companion to the online edition of my textbook 'Elementary Calculus: An Approach Using Infinitesimals'. It can be used as a quick introduction to the infinitesimal approach to calculus for mathematicians, as background material for instructors, or as a text for an undergraduate seminar.
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by Marcel B. Finan - Arkansas Tech University
These are lecture notes of a freshmen-level and sophomore-level mathematics class offered at Arkansas Tech University. The text represents a serious effort to produce exposition that is accessible to a student at freshmen or sophomore levels.
by Alfred Lodge - Deighton, Bell, & Co.
The object of this book is to provide an easy introduction to the Calculus for those students who have to use it in their work, to make them familiar with its ideas and methods. A working knowledge of elementary algebra and trigonometry is assumed.
by F.S. Woods, F.H. Bailey - Ginn and Company
The first part of the book brings together all methods for the graphical representation of functions of one variable, and analytic geometry of two dimensions. The transition to the calculus is made early through the discussion of slope and area ...
by William V. Smith - Brigham Young University
Here is a free online calculus course. This is essentially an ordinary text, but you can read it online. There are lots of exercises and examples. The text is rigorous. We do calculus in both one and two variables at the same time.