Title :
An Invitation to Non-standard Analysis
Author_Institution :
Dept. of Math., Nat. Taiwan Univ., Taipei, Taiwan
Abstract :
Generically speaking, non-standard analysis is any form of mathematics that relies on non-standard models and the transfer principle. However, it is likely safe to say that of the most common meaning for the term "Non-Standard Analysis" is a rigorous formulation of Analysis using infinitesimals, as an alternative to the analysis we all know in the e-δ formulation.
Keywords :
mathematical analysis; e-δ formulation; infinitesimals; mathematics; nonstandard analysis; nonstandard models; transfer principle; Analytical models; Calculus; Computational modeling; Conferences; Encyclopedias; Mathematical model; analysis; infinitesimals;
Conference_Titel :
Granular Computing (GrC), 2010 IEEE International Conference on
Conference_Location :
San Jose, CA
Print_ISBN :
978-1-4244-7964-1
DOI :
10.1109/GrC.2010.52