19030j Undergraduate Course

SoSe 13: Proseminar:Diophantische Gleichungen und Approximationen

Alexander Schmitt

Additional information / Pre-requisites

Zielgruppe:

StudentInnen im Mono- und Kombi-Bachelor

Voraussetzungen

Lineare Algebra I+II, Analyis I+II, Algebra/Zahlentheorie, fuer manche Vortraege auch Funktionentheorie.

Comments

Inhalt:

  • Irrationalitaet und diophantische Approximationen
  • Reelle Zahlen als unendliche Reihen und Produkte
  • Kettenbrueche
  • Quadratische Koerpererweiterungen und diophantische Gleichungen
  • Summen von Quadraten
  • Zahlentheoretische Funktionen
  • Pad'e Approximationen
  • Algebraische Zahlen
  • Zahlkoerper
  • Ideal
  • Transzendente Methoden
close

Suggested reading

Literatur:

Daniel Duverney: Number theory. An elementary introduction through Diophantine problems. Monographs in Number Theory 4. Hackensack, NJ: World Scientific, 2010, xii+335 Seiten. ISBN 978-981-4307-45-1/hbk; 978-981-4307-46-8/pbk close

13 Class schedule

Regular appointments

Wed, 2013-04-10 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-04-17 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-04-24 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-05-08 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-05-15 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-05-22 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-05-29 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-06-05 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-06-12 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-06-19 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-06-26 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-07-03 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Wed, 2013-07-10 10:00 - 12:00

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
SR 005/A3 Seminarraum (Arnimallee 3-5)

Subjects A - Z