
Foundations of Infinitesimal Calculus
by K.D. Stroyan
Publisher: Academic Press, Inc. 1997
Number of pages: 182
Description:
This book of mathematical 'background' shows how to fill in the mathematical details of the main topics from the course. These proofs are completely rigorous in the sense of modern mathematics - technically bulletproof. We wrote this book of foundations in part to provide a convenient reference for a student who might like to see the 'theorem - proof' approach to calculus.
Download or read it online for free here:
Download link
(1.6MB, PDF)
Similar books
Functions Modeling Change: A Precalculus Courseby Marcel B. Finan - Arkansas Tech University
This supplement consists of the author's lectures of a freshmen-level mathematics class offered at Arkansas Tech University. The text represents an effort to produce exposition that is accessible to a student at the freshmen or high school levels.
(18959 views)
Dr. Vogel's Gallery of Calculus Pathologiesby Thomas I. Vogel
The intuition is useful in dealing with simple examples, but can be a hindrance to deeper understanding of the basic concepts of mathematical analysis. The point of this text is to challenge and refine the intuition of better calculus students.
(16618 views)
Intuitive Infinitesimal Calculusby Viktor Blasjo - Intellectual Mathematics
A concise textbook covering precalculus through vector calculus and differential equations using informal infinitesimal reasoning. Always gives the most illuminating proofs possible, while standard books obscure key ideas under pedantic formalism.
(9914 views)
Foundations of Infinitesimal Calculusby H. Jerome Keisler - University of Wisconsin
This monograph is a companion to 'Elementary Calculus'. 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.
(11835 views)