the calculus of infinitesimals
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the calculus of infinitesimals

        

the calculus of infinitesimals

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Early users of the differential calculus made use of the concept of an infinitesimal; a quantity so small that although it is not zero its square and higher powers are zero.  There are no real numbers with this property and its use was discouraged as nonrigorous.  It was however a very convenient construct and it did not seem to result in incorrect results.In 1960 Abraham Robinson discovered a way to provide a rigorous basis for infinitesimals.  The webpage explains this foundation for... More
Material Type: Reference Material
Technical Format: HTML/Text
Date Added to MERLOT: April 02, 2009
Date Modified in MERLOT: April 02, 2009
Submitter: Thayer Watkins
Keywords: calculus, infinitesimal, nonstandard analysis

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Primary Audience: College Lower Division, College Upper Division, Graduate School
Mobile Compatibility: Not specified at this time
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Language: English
Cost Involved: no
Source Code Available: yes
Accessiblity Information Available: unsure
Creative Commons: Creative Commons License
This work is licensed under a Attribution-NonCommercial-NoDerivs 3.0 United States

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