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Proofs from THE BOOK

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Cover of 'Proofs from THE BOOK'

Table of Contents

  1. Altmetric Badge
    Book Overview
  2. Altmetric Badge
    Chapter 1 Six proofs of the infinity of primes
  3. Altmetric Badge
    Chapter 2 Bertrand’s postulate
  4. Altmetric Badge
    Chapter 3 Binomial coefficients are (almost) never powers
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    Chapter 4 Representing numbers as sums of two squares
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    Chapter 5 Every finite division ring is a field
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    Chapter 6 Some irrational numbers
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    Chapter 7 Hilbert’s third problem: decomposing polyhedra
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    Chapter 8 Lines in the plane and decompositions of graphs
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    Chapter 9 The slope problem
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    Chapter 10 Three applications of Euler’s formula
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    Chapter 11 Cauchy’s rigidity theorem
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    Chapter 12 Touching simplices
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    Chapter 13 Every large point set has an obtuse angle
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    Chapter 14 Borsuk’s conjecture
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    Chapter 15 Sets, functions, and the continuum hypothesis
  17. Altmetric Badge
    Chapter 16 In praise of inequalities
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    Chapter 17 A theorem of Pólya on polynomials
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    Chapter 18 On a lemma of Littlewood and Offord
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    Chapter 19 Cotangent and the Herglotz trick
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    Chapter 20 Buffon’s needle problem
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    Chapter 21 Pigeon-hole and double counting
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    Chapter 22 Three famous theorems on finite sets
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    Chapter 23 Lattice paths and determinants
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    Chapter 24 Cayley’s formula for the number of trees
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    Chapter 25 Completing Latin squares
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    Chapter 26 The Dinitz problem
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    Chapter 27 Five-coloring plane graphs
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    Chapter 28 How to guard a museum
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    Chapter 29 Turán’s graph theorem
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    Chapter 30 Communicating without errors
  32. Altmetric Badge
    Chapter 31 Of friends and politicians
  33. Altmetric Badge
    Chapter 32 Probability makes counting (sometimes) easy
Overall attention for this book and its chapters
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Title
Proofs from THE BOOK
Published by
Springer Berlin Heidelberg, April 2013
DOI 10.1007/978-3-662-04315-8
ISBNs
978-3-66-204317-2, 978-3-66-204315-8
Authors

Aigner, Martin, Ziegler, Günter M.

Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 1 Mendeley reader of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Unknown 1 100%

Demographic breakdown

Readers by professional status Count As %
Professor > Associate Professor 1 100%
Readers by discipline Count As %
Mathematics 1 100%