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2. Elementary Calculus: An Infinitesimal Approach - Wikipedia

   en.wikipedia.org/wiki/Elementary_Calculus:_An...

   Elementary Calculus: An Infinitesimal approach is a textbook by H. Jerome Keisler. The subtitle alludes to the infinitesimal numbers of the hyperreal number system of Abraham Robinson and is sometimes given as An approach using infinitesimals. The book is available freely online and is currently published by Dover. [1]

3. Howard Jerome Keisler - Wikipedia

   en.wikipedia.org/wiki/Howard_Jerome_Keisler

   Following Abraham Robinson's work resolving what had long been thought to be inherent logical contradictions in the literal interpretation of Leibniz's notation that Leibniz himself had proposed, that is, interpreting "dx" as literally representing an infinitesimally small quantity, Keisler published Elementary Calculus: An Infinitesimal ...

4. Elementary calculus - Wikipedia

   en.wikipedia.org/wiki/Elementary_calculus

   Elementary calculus may refer to: The elementary aspects of differential and integral calculus ; Elementary Calculus: An Infinitesimal Approach , a textbook by Jerome Keisler.

5. Increment theorem - Wikipedia

   en.wikipedia.org/wiki/Increment_theorem

   Howard Jerome Keisler: Elementary Calculus: An Infinitesimal Approach. First edition 1976; 2nd edition 1986. First edition 1976; 2nd edition 1986. This book is now out of print.

6. List of important publications in mathematics - Wikipedia

   en.wikipedia.org/wiki/List_of_important...

   The first book on the systematic algebraic solutions of linear and quadratic equations by the Persian scholar Muhammad ibn Mūsā al-Khwārizmī. The book is considered to be the foundation of modern algebra and Islamic mathematics. [10] The word "algebra" itself is derived from the al-Jabr in the title of the book. [11]

7. Nonstandard analysis - Wikipedia

   en.wikipedia.org/wiki/Nonstandard_analysis

   Covering nonstandard calculus, it develops differential and integral calculus using the hyperreal numbers, which include infinitesimal elements. These applications of nonstandard analysis depend on the existence of the standard part of a finite hyperreal r .