Elementary Calculus: An Infinitesimal Approach

By H. Jerome Keisler

Book Overview

This first-year calculus book is centered around the use of infinitesimals, an approach largely neglected until recently for reasons of mathematical rigor. It exposes students to the intuition that... This description may be from another edition of this product.

• Format: Hardcover
• Language: English
• ISBN: 0871509113
• ISBN13: 9780871509116
• Release Date: January 1986
• Publisher: Prindle Weber & Schmidt
• Length: 913 Pages
• Weight: 3.60 lbs.
• Dimensions: 10.5" x 1.5" x 7.8"

Customer Reviews

an elementary and comprehensive treatment of calculus by infinitesimals

There is a free download of this nice book at the author's website. This book is good for the elementary part of calculus from a "hyperreal" viewpoint which was first made rigorous by A.Robinson. Nevertheless, it does not cover enough "infinitesimal" multivariable calculus. E.g., it has no discussion of using Jacobians in the change of variable formula for multiple integrals. Nor does it give a treatment of Stokes' theorem etc. The interested readers many consult Luxemberg/Stroyan 1976 for a short discussion of these topics.