Elementary Calculus: An Infinitesimal Approach

 This book is concerned with the infinitesimal approach originally set forth by Newton and Leibnitz, using Non-standard analysis. The author has moved the theoretical material from Chapter One to an Appendix in this edition. A new chapter on differential equations has been added and the transcendental functions have been fully integrated into the first section. This book should be of interest to first and second year undergraduate mathematics students.

Title Elementary Calculus: An Infinitesimal Approach
Author(s) H. Jerome Keisler
Publisher: Prindle Weber & Schmidt; 2 Sub edition (December 1985), Revised in February, 2012
Hardcover 913 pages
Language: English
ISBN-10: 0871509113
ISBN-13: 978-0871509116
eBook: http://www.vias.org/calculus/