10-16-2012, 06:57 PM
Elementary Calculus_An infinitesimal approach
Author: H. Jerome Keisler | Size: 23 MB | Format: PDF | Quality: Unspecified | Year: 2000 (Revised December 2010) | pages: 982
This book tackles calculus with an infinitesimal approach. The infinitesimal approach has three important advantages for the calculus-learner. First, it is closer to the intuition which originally led to calculus. Second, the central concepts of derivative and integral become easier for the student to understand and use. Third, it teaches both infinitesimal and traditional approaches, giving the student an extra tool which may become increasingly important in the future.
It is important keep in mind that the calculus was originally developed using the intuitive concept of an infinitesimal, or an infinitely small number.
While the traditional course begins with the difficult limit concept, this course/book begins with the more easily understood infinitesimals.
Enjoy it!!!!
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