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Abstract
The Geometry of Numbers studies distribution of lattice points in the n dimensional space, for instance, existence of lattice points in various domains and existence of integral solutions of polynomial inequalities.This subject is also closely related to the Theory of Diophantine Approximation, which seeks good rational approximations for real vectors.
Objective
Learn basic techniques in the Geometry of Numbers
Resources
Literature
1. Cassels, An introduction to Diophantine Approximation 2. Cassels, An introduction to the Geometry of Numbers 3. Schmidt, Diophantine approximation 4. Siegel, Lectures on the Geometry of Numbers
General Information
- Language
- English
- Levels
- BSC , MSC
Examination
- Type
- graded semester performance
Course Components
| Type | Title | Time & Place | Hours |
|---|---|---|---|
| lecture |
Geometry of Numbers (University of Zurich)
**Course at University of Zurich**
|
|
4 h weekly |
| exercise |
Geometry of Numbers (University of Zurich)
**Course at University of Zurich**
|
|
1 h weekly |
Offered In
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Electives (For the Master's degree in Applied Mathematics the following additional condition (not manifest in myStudies) must be obeyed: At least 15 of the required 28 credits from core courses and electives must be acquired in areas of applied mathematics and further application-oriented fields.)
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