A Brief Introduction to Nonstandard Analysis
Speaker: Erin Tripp (Syracuse)
Friday October 26, 2017, 3:30, Carnegie 109
Abstract: The hyperreal numbers *R are an extension of the real numbers which include infinite and infinitesimal numbers. Both Newton and Leibniz used infinitesimals in the development of calculus, but their existence and properties were not made rigorous until the mid-20th century. Nonstandard analysis is the study of *R along with its application to real analysis via the transfer principle. In this talk we will discuss the logical basis and construction of *R and demonstrate the transfer of some familiar theorems and definitions.