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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
  5. Altmetric Badge
    Chapter 4 Representing numbers as sums of two squares
  6. Altmetric Badge
    Chapter 5 Every finite division ring is a field
  7. Altmetric Badge
    Chapter 6 Some irrational numbers
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    Chapter 7 Three times π 2 /6
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    Chapter 8 Hilbert’s third problem: decomposing polyhedra
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    Chapter 9 Lines in the plane and decompositions of graphs
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    Chapter 10 The slope problem
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    Chapter 11 Three applications of Euler’s formula
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    Chapter 12 Cauchy’s rigidity theorem
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    Chapter 13 Touching simplices
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    Chapter 14 Every large point set has an obtuse angle
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    Chapter 15 Borsuk’s conjecture
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    Chapter 16 Sets, functions, and the continuum hypothesis
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    Chapter 17 In praise of inequalities
  19. Altmetric Badge
    Chapter 18 A theorem of Pólya on polynomials
  20. Altmetric Badge
    Chapter 19 On a lemma of Littlewood and Offord
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    Chapter 20 Cotangent and the Herglotz trick
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    Chapter 21 Buffon’s needle problem
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    Chapter 22 Pigeon-hole and double counting
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    Chapter 23 Three famous theorems on finite sets
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    Chapter 24 Shuffling cards
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    Chapter 25 Lattice paths and determinants
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    Chapter 26 Cayley’s formula for the number of trees
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    Chapter 27 Completing Latin squares
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    Chapter 28 The Dinitz problem
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    Chapter 29 Identities versus bijections
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    Chapter 30 Five-coloring plane graphs
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    Chapter 31 How to guard a museum
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    Chapter 32 Turán’s graph theorem
  34. Altmetric Badge
    Chapter 33 Communicating without errors
  35. Altmetric Badge
    Chapter 34 Of friends and politicians
  36. Altmetric Badge
    Chapter 35 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, January 2004
DOI 10.1007/978-3-662-05412-3
ISBNs
978-3-66-205414-7, 978-3-66-205412-3
Authors

Aigner, Martin, Ziegler, Günter M.

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Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 24 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
Germany 1 4%
Brazil 1 4%
Unknown 22 92%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 8 33%
Student > Master 4 17%
Other 2 8%
Student > Bachelor 2 8%
Student > Doctoral Student 2 8%
Other 3 13%
Unknown 3 13%
Readers by discipline Count As %
Mathematics 7 29%
Computer Science 3 13%
Agricultural and Biological Sciences 2 8%
Arts and Humanities 1 4%
Philosophy 1 4%
Other 4 17%
Unknown 6 25%