240213 Vertiefung Mathematik: Quadratische Formen (V) (WiSe 2013/2014)

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Quadratische Formen sind Polynome in mehreren Variablen, wobei in jedem Term die Summe der Exponenten dieser Variablen gleich 2 ist. Sie treten in vielen Teilgebieten der Mathematik und ihrer Anwendungen auf. Die Vorlesung wird sich mit folgenden Themen beschäftigen:

  • Diagonalisierung quadratischer Formen
  • Kurven und Flächen zweiter Ordnung
  • Signatur quadratischer Formen
  • Witt-Index quadratischer Formen
  • Reduktion ganzzahliger quadratischer Formen

Bibliography

  • A. Beutelspacher: Lineare Algebra. Vieweg-Verlag 1995/2001.
  • D. Buell, Binary quadratic forms. Springer-Verlag 1989.

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Subject assignments

Degree programme/academic programme Validity Variant Subdivision Status Semester LP  
Mathematik / Bachelor (Enrollment until SoSe 2011) Kernfach MD07K Wahlpflicht 3. 4. 6 benotet  
Mathematik (GHR) / Master of Education (Enrollment until SoSe 2014) M.D.09b Wahlpflicht 1. 2. 6 benotet  
Mathematik (GHR/SP) / Master of Education (Enrollment until SoSe 2014) M.D.09b Wahlpflicht 2. 3. 6 benotet  

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