ΓΕΩΜΕΤΡΙΚΗ ΣΥΝΔΥΑΣΤΙΚΗ

Διδάσκων: Χρήστος Α. Αθανασιάδης
Γραφείο: 135, x-6367
Ώρες Γραφείου: Τε 2-3, Πα 11-12
Ηλεκτρονική Διεύθυνση: caath AT math.uoa.gr

Ώρα: Τε 11-1, Πα 1-3
Αίθουσα: A12

Διαθέσιμα αρχεία (σε μορφή pdf ή postscript):

• Ανακοίνωση (επίσης σε μορφή αρχείου word)
  
• Ασκήσεις
  
• Θέματα εξετάσεων Φεβρουαρίου 2008
  

Προτεινόμενη Βιβλιογραφία:

• A. Barvinok, A Course in Convexity, Graduate Studies in Mathematics 54, American Mathematical Society, Providence, RI, 2002.
  
• M. Beck and S. Robins, Computing the Continuous Discretely: Integer-Point Enumeration in Polyhedra, Undergraduate Studies in Mathematics, Springer, 2007.
  
• A. Bjorner, M. Las Vergnas, B. Sturmfels, N. White and G.M. Ziegler, Oriented Matroids, Encyclopedia of Mathematics and Its Applications 46, Cambridge University Press, Cambridge, 1993; second edition, 1999.
  
• A. Bronsted, An Introduction to Convex Polytopes, Graduate Texts in Mathematics 90, Springer-Verlag, Heidelberg / Berlin, 1983.
  
• G. Ewald, Combinatorial Convexity and Algebraic Geometry, Graduate Texts in Mathematics 168, Springer-Verlag, New York, 1996.
  
• W. Fulton, Introduction to Toric Varieties, Annals of Mathematical Studies 131, Princeton University Press, Princeton, 1993.
  
• B. Grunbaum, Convex Polytopes, Wiley-Interscience, New York, 1967; second edition, Graduate Texts in Mathematics 221, Springer-Verlag, New York, 2003.
  
• T. Hibi, Algebraic Combinatorics on Convex Polytopes, Carslow Publications, Glebe, NSW, Australia, 1992.
  
• J. Matousek, Using the Borsuk-Ulam Theorem. Lectures on Topological Methods in Combinatorics and Geometry, Universitext, Springer-Verlag, Berlin / Heidelberg, 2003.
  
• P. McMullen and G.C. Shephard, Convex Polytopes and the Upper Bound Conjecture, Cambridge University Press, London / New York, 1971.
  
• R.P. Stanley, Enumerative Combinatorics, vol. 1, Wadsworth & Brooks/Cole, Pacific Grove, CA, 1986; second printing, Cambridge University Press, Cambridge, 1998.
  
• R.P. Stanley, An Introduction to Hyperplane Arrangements, in Geometric Combinatorics, IAS/Park City Mathematics Series, to appear (these notes can be downloaded here).
  
• B. Sturmfels, Grobner Bases and Convex Polytopes, University Lecture Series 8, American Mathematical Society, Providence, RI, 1996.
  
• G.M. Ziegler, Lectures on Polytopes, Graduate Texts in Mathematics 152, Springer-Verlag, New York, 1995.