FROM MATHEMATICS
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 2014Non-tearing strategies
6 May 2014Identities of relations and functions
9 May 2014Continuity
13 May 2014Continuity
16 May 2014Monks on a mountain — introduction to fixed point theorems
21 May 2014Construction of real numbers
22 May 2014Operations on real numbers
27 May 2014Real number comparisons
5 Jun 2014Real number completeness
10 Jun 2014Least upper bound
2 Jul 2014Intermediate 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.

NOUMENON MULTIPHYSICS PROVIDES MULTI-PHYSICS MODELING AND SIMULATION SERVICES TO AUTOMOTIVE, ELECTRONICS, OPTICS, ENERGY, MECHANICAL AND MANUFACTURING INDUSTRY

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