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.
About the Authors
H. Jerome Keisler is an American mathematician, currently professor emeritus at University of Wisconsin–Madison. His research has included model theory and non-standard analysis.
His Ph.D. advisor was Alfred Tarski at Berkeley; his dissertation is Ultraproducts and Elementary Classes (1961).
H. Jerome Keisler is an American mathematician, currently professor emeritus at University of Wisconsin–Madison. His research has included model theory and non-standard analysis.
His Ph.D. advisor was Alfred Tarski at Berkeley; his dissertation is Ultraproducts and Elementary Classes (1961).
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
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