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Author(s):
Martin Aigner
,
Günter M. Ziegler
Publication date
(Print):
2004
Publisher:
Springer Berlin Heidelberg
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Huddersfield Books
Author and book information
Book
ISBN (Print):
978-3-662-05414-7
ISBN (Electronic):
978-3-662-05412-3
Publication date (Print):
2004
DOI:
10.1007/978-3-662-05412-3
SO-VID:
36e9f55e-6488-4aa3-8450-5430024c864a
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http://www.springer.com/tdm
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Book chapters
pp. 3
Six proofs of the infinity of primes
pp. 7
Bertrand’s postulate
pp. 13
Binomial coefficients are (almost) never powers
pp. 17
Representing numbers as sums of two squares
pp. 23
Every finite division ring is a field
pp. 27
Some irrational numbers
pp. 35
Three times π2/6
pp. 45
Hilbert’s third problem: decomposing polyhedra
pp. 53
Lines in the plane and decompositions of graphs
pp. 59
The slope problem
pp. 65
Three applications of Euler’s formula
pp. 71
Cauchy’s rigidity theorem
pp. 75
Touching simplices
pp. 79
Every large point set has an obtuse angle
pp. 85
Borsuk’s conjecture
pp. 93
Sets, functions, and the continuum hypothesis
pp. 109
In praise of inequalities
pp. 117
A theorem of Pólya on polynomials
pp. 123
On a lemma of Littlewood and Offord
pp. 127
Cotangent and the Herglotz trick
pp. 133
Buffon’s needle problem
pp. 139
Pigeon-hole and double counting
pp. 151
Three famous theorems on finite sets
pp. 157
Shuffling cards
pp. 167
Lattice paths and determinants
pp. 173
Cayley’s formula for the number of trees
pp. 179
Completing Latin squares
pp. 185
The Dinitz problem
pp. 191
Identities versus bijections
pp. 199
Five-coloring plane graphs
pp. 203
How to guard a museum
pp. 207
Turán’s graph theorem
pp. 213
Communicating without errors
pp. 223
Of friends and politicians
pp. 227
Probability makes counting (sometimes) easy
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