MATH-540 / 5 credits

Teacher: Eisenbrand Friedrich

Language: English


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

In the programs

  • Semester: Fall
  • Exam form: Oral (winter session)
  • Subject examined: Diophantine approximation
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks
  • Semester: Fall
  • Exam form: Oral (winter session)
  • Subject examined: Diophantine approximation
  • Lecture: 2 Hour(s) per week x 14 weeks
  • Exercises: 2 Hour(s) per week x 14 weeks

Reference week

 MoTuWeThFr
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     

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