19213101 Lecture

SoSe 22: Geometry

Alexander Schmitt

Comments

Inhalt

Diese Vorlesung für das Bachelorstudium soll als natürliche Fortsetzung von Lineare Algebra I und II Fundamente legen für Vorlesungen/Zyklen wie Diskrete Geometrie, Algebraische Geometrie und Differenzialgeometrie.

Sie behandelt grundlegende Modelle der Geometrie, insbesondere

euklidische, affine, sphärische, projektive und hyperbolische Geometrie,Möbiusgeometrie, Polarität und Dualität Strukturgruppen, Messen (Längen, Winkel, Volumina), explizite Berechnungen und Anwendungen, Beispiele sowie Illustrationsthemen;

Dabei werden weitere Bezüge hergestellt, zum Beispiel zur Funktionentheorie und zur Numerik.

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Suggested reading

    • Apéry, François: Models of the real projective plane. Computer
graphics of Steiner and Boy surfaces. With a preface by Egbert
Brieskorn. Friedr. Vieweg & Sohn, Braunschweig, 1987. xii+156 pp.
    • Berchtold, Florian: Geometrie. Von Euklid bis zur hyperbolischen
Geometrie mit Ausblick auf angrenzende Gebiete. Springer Spektrum,
Heidelberg, 2017. x+210 pp.
    • [Geo] Brannan, David A.; Esplen, Matthew F.; Gray, Jeremy J.:
Geometry. 2nd ed. Cambridge University Press, Cambridge, 2012. xiv+587
pp.
    • Lüneburg, Heinz: Die euklidische Ebene und ihre Verwandten.
Birkhäuser, Basel, 1999. viii+207 S.
    • Scheid, Harald; Schwarz, Wolfgang: Elemente der Geometrie. 5th rev.
ed. Springer Spektrum, Heidelberg, 2017. ix+373 pp.
    • Skript

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24 Class schedule

Additional appointments

Thu, 2022-07-21 10:00 - 12:00
Klausur

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
Hs 1b Hörsaal (Habelschwerdter Allee 45)

Fri, 2022-10-07 12:00 - 14:00
Geometrie / Nachklausur

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Regular appointments

Thu, 2022-04-21 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-04-28 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-05-05 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-05-12 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-05-19 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-06-02 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-06-09 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-06-16 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-06-23 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-06-30 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-07-07 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Thu, 2022-07-14 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A6/SR 032 Seminarraum (Arnimallee 6)

Mon, 2022-05-02 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-05-09 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-05-16 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-05-23 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-05-30 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-06-06 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-06-13 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-06-20 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-06-27 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-07-04 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-07-11 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Mon, 2022-07-18 10:00 - 12:00
Geometrie

Lecturers:
Univ.-Prof. Dr. Alexander Schmitt

Location:
A3/Hs 001 Hörsaal (Arnimallee 3-5)

Subjects A - Z