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 Title: Elementary Calculus: An Infinitesimal Approach
 Author(s) Howard Jerome Keisler
 Publisher: Dover; 3rd Edition(2012); eBook (Creative Commons Licensed, 2022)
 License(s): CC BYNCSA 3.0
 Hardcover: 1008 pages
 eBook: PDF Files, and a single PDF (992 pages, 24.5 MB)
 Language: English
 ISBN10: 0486484521
 ISBN13: 9780486484525
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Book Description
This firstyear calculus book is centered around the use of infinitesimals. It contains all the ordinary calculus topics, including the basic concepts of the derivative, continuity, and the integral, plus traditional limit concepts and approximation problems. Additional subjects include transcendental functions, series, vectors, partial derivatives, and multiple integrals. 2007 edition.
This book is concerned with the infinitesimal approach originally set forth by Newton and Leibnitz, using Nonstandard 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 Howard Jerome Keisler is an American mathematician, currently professor emeritus at University of Wisconsinâ€“Madison. His research has included model theory and nonstandard analysis.
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 Elementary Calculus: An Infinitesimal Approach (H. Jerome Keisler)
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