MATH 649B - Nonstandard Analysis

 

Handouts:

Changes to notes 6 April:

  • Corrected notes on Measure Theory

Changes to notes 27 Feb:

  • Corrected notes on Metric spaces

Changes to notes 25 Feb:

  • Added notes on Metric spaces

Changes to notes 5 Feb:

  • Corrected Topology notes
  • Added section on S topology and Stone-Cech

Changes to notes 31 January:

  • Added Topology notes

Changes to notes 25 January:

  • Added a section on Calculus
  • Some minor corrections

Changes to notes 21 January:

  • Added a section on saturation
  • Some minor corrections

Changes to notes 16 January:

  • Added "=" in def of language
  • Decided to allow quantification over atomic terms (constants and variable symbols); required changes in definition of both the language and the satisfaction predicate.
  • Added a section on the structure of the hyperreals
  • Some minor corrections

Exercises:

Exercises 1 (Due Jan 26)

Exercises 2 (Due Feb 5)

Exercises 3 (Try for Feb 12)

Exercises 4 (Try for April 13)

"2500 Years Of Very Small Numbers" (Faculty Lecture Series talk, 11/06 )

"Fun with Nonstandard Models" (Slides from my UG colloquium, 2/07)

Stroyan, Mathematical Background: Foundations of Infinitesimal Calculus

Keisler, Foundations of Infinitesimal Calculus