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 email@example.com.
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