Themen und Termine/Topics and dates
Themen/Topics
(Die Kapitelnamen sind auf Englisch, da sie aus der englischen Version entnommen wurden. Sie können natürlich auch die deutsche Version des Buches verwenden, Je nach Ausgabe, die sie verwenden, können Kapitel fehlen und die Nummerierung kann anders sein. Ich habe hier die 6. Ausgabe verwendet.)
(The chapters below are taken from the English version, 6th edition. If you use a different edition, the numbering might be slightly different.)
Choose a topic by sending Markus Bläser an email.
Chapter 2: Bertrand's postulate (Davide Damiano)
Chapter 3: Binomial coefficients are (almost) never powers
Chapter 4: Representing numbers as sums of two squares
Chapter 5: The law of quadratic reciprocity
Chapter 6: Every finite division ring is a field (Leo Emmerich)
Chapter 9: Four times pi^2/6 (David Sauber)
Chapter 10: Hilbert's third problem: Decomposing polyhydra
Chapter 13: Three applications of Euler's formula (Nico Leiner)
Chapter 17: Ever large set of points has an obtuse angle (Cag Öztopal)
Chapter 18: Borsuk's conjecture
Chapter 19: Sets, functions, and the continuum hypothesis (Armin Schilling)
Chapter 23: A theorem of Polya on polynomial (Lena Becker)
Chapter 24: Van der Waerden's permanent conjecture
Chapter 28: The pigeonhole principle and double counting (Michael Schifferer)
Chapter 31: Shuffling cards
Chapter 32: Lattices paths and determinants
Chapter 33: Cayley's formula for the number of trees
Chapter 36: Completing Latin squares (Jonas Feidt)
Chapter 37: Permanents and the power of entropy
Chapter 42: Communicating without errors
Chapter 45: Probability makes counting (sometimes) easy