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  • Set Theory
  • Riemannian Geometry
  • The Hidden Subgroup Problem
  • Application of Category Theory to Computer Science
  • Notes on implementing menclose
  • MathML used with other W3C standards

Homepage

Welcome to « Maths, Informatique, Jeux », a Web site about math, computer. science and games.

Mathematics

My personnal notes (not complete yet) on the exercices of the book of Thomas Jech "Set Theory":

• Chapter 1: Axioms of Set Theory
• Chapter 2: Ordinal Numbers
• Chapter 3: Cardinal Numbers
• Chapter 4: Real Numbers
• Chapter 6: The Axiom of Regularity
• Chapter 14: Forcing

Some work I've made in Riemannian geometry during my stay at Århus:

• Exercise 4.12 from Lee's book.
• Exercise 7.1 from Lee's book.
• Exercise Curvature (in dimension 3, the curvature tensor is determined by the Ricci curvature)
• Example of a riemannian 2-manifold whose Euler characteristic is zero
• Notes for the oral exam in Riemannian Geometry

Some pages I wrote for my MathML test

• The infinite in set theory
• Goodstein's sequences

Computer Science

• The Hidden Subgroup Problem (master thesis)
• XSLT Stylesheet for the MathML 3 Operator Dictionary
• A Lisp XML processor for Maxima Revised during summer 2008 to prepare a content MathML support.

This page is W3C-compliant - Author: Frédéric WANG