TO REALITY
Fixed Point Theorems
Proofs of various fixed point theorems, and applications.
30 Apr 2014 to 2 Jul 2014
If we crumple a table cloth laid on a table, no matter how badly we do it, it can be proved that at least one point on the tablecloth is exactly where it was before! The above is only one among a large class of “fixed point” theorems. These cute but seemingly innocuous theorems have a surprisingly fundamental role to play in many fields including linear and non-linear dynamics, differential equations, economics and game theory.
Lecturer: Ruby Rama Praveen.
Venue: Noumenon Multiphysics.
List of lectures:
| 30 Apr 2014 | Non-tearing strategies |
| 6 May 2014 | Identities of relations and functions |
| 9 May 2014 | Continuity |
| 13 May 2014 | Continuity |
| 16 May 2014 | Monks on a mountain — introduction to fixed point theorems |
| 21 May 2014 | Construction of real numbers |
| 22 May 2014 | Operations on real numbers |
| 27 May 2014 | Real number comparisons |
| 5 Jun 2014 | Real number completeness |
| 10 Jun 2014 | Least upper bound |
| 2 Jul 2014 | Intermediate value theorem - 1D tablecloth |
| ⋮ |
This lecture series is in progress. If you wish to attend, or wish to hold a similar lecture series at your venue, please send an email to training@noumenonmp.com.
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