MATH-540 / 5 crédits

Enseignant: Eisenbrand Friedrich

Langue: Anglais


Summary

The main theme in Diopahntine approximation is to approximate a real number by a rational number with a certain denominator bound. The course covers the case of one real number, that is classical and well understood, and proceeds to simultaneous Diophantine approximations.

Content

Learning Prerequisites

Required courses

Analysis 1+2

Linear Algebra 1+2

Rings and Fields

 

 

Assessment methods

Written exam at the end of the semester

Resources

Bibliography

A. Ya. Khinchin: Continued Fractions

Wolfgang Schmidt: Diophantine Approximation

Some research papers.

Ressources en bibliothèque

Moodle Link

Dans les plans d'études

  • Semestre: Automne
  • Forme de l'examen: Oral (session d'hiver)
  • Matière examinée: Diophantine approximation
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel
  • Semestre: Automne
  • Forme de l'examen: Oral (session d'hiver)
  • Matière examinée: Diophantine approximation
  • Cours: 2 Heure(s) hebdo x 14 semaines
  • Exercices: 2 Heure(s) hebdo x 14 semaines
  • Type: optionnel

Semaine de référence

 LuMaMeJeVe
8-9     
9-10     
10-11     
11-12     
12-13     
13-14     
14-15     
15-16     
16-17     
17-18     
18-19     
19-20     
20-21     
21-22     

Cours connexes

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