Aigner, Martin & Günter M. Ziegler. — Proofs from the book. 1st edition.

Including illustrations by Karl H. Hofmann. Berlin & New York : Springer, c1999. 2nd corrected printing. Hardcover. viii, 199 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. Hilbert's third problem: decomposing polyhedra -- 8. Lines in the plane and decompositions of graphs -- 9. slope problem -- 10. Three applications of Euler's formula -- 11. Cauchy's rigidity theorem -- 12. The problem of thirteen speres 13. Touching simplicities -- 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. Pigeon-hole and double counting -- 21. Three famous theorems on finite sets -- 22. Cayley's formula for the number of trees -- 23. Completing Latin squares -- 24. Dinitz problem -- 25. Five-coloring plane graphs -- 26. How to guard a museum -- 27. Turan's graph theorem -- 28. Communicating without errors -- 29. Of friends and politicians -- 30. Probability makes counting (sometimes) easy. ISBN 9783540636984.