Aigner, Martin & Günter M. Ziegler. — Proofs from the book. 3rd edition.

Including illustrations by Karl H. Hofmann. Berlin & New York : Springer, c2004. Hardcover. viii, 239 pages : illustrations (some color) ; 25 cm. Mailorder only - Alleen verzending mogelijk. Book condition : very good. Contents : Number Theory -- 1. Six proofs of the infinity of primes -- 2. Bertrand's postulate -- 3. Binomial coefficients are (almost) never powers -- 4. Representing numbers as sums of two squares -- 5. Every finite division ring is a field -- 6. Some irrational numbers -- 7. Three times [pi][superscript 2]/6 -- Geometry -- 8. Hilbert's third problem: decomposing polyhedra -- 9. Lines in the plane and decompositions of graphs -- 10. slope problem -- 11. Three applications of Euler's formula -- 12. Cauchy's rigidity theorem -- 13. Touching simplices -- 14. Every large point set has an obtuse angle -- 15. Borsuk's conjecture -- Analysis -- 16. Sets, functions, and the continuum hypothesis -- 17. In praise of inequalities -- 18. theorem of Polya on polynomials -- 19. On a lemma of Littlewood and Offord -- 20. Cotangent and the Herglotz trick -- 21. Buffon's needle problem -- Combinatorics -- 22. Pigeon-hole and double counting -- 23. Three famous theorems on finite sets -- 24. Shuffling cards -- 25. Lattice paths and determinants -- 26. Cayley's formula for the number of trees -- 27. Completing Latin squares -- 28. Dinitz problem -- 29. Identities versus bijections -- Graph Theory -- 30. Five-coloring plane graphs -- 31. How to guard a museum -- 32. Turan's graph theorem -- 33. Communicating without errors -- 34. Of friends and politicians -- 35. Probability makes counting (sometimes) easy. ISBN 9783540678656.