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Proofs from THE BOOK

Overview of attention for book
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 The law of quadratic reciprocity
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    Chapter 6 Every finite division ring is a field
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    Chapter 7 Some irrational numbers
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    Chapter 8 Three times Π²/6
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    Chapter 9 Hilbert’s third problem: decomposing polyhedra
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    Chapter 10 Lines in the plane and decompositions of graphs
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    Chapter 11 The slope problem
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    Chapter 12 Three applications of Euler’s formula
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    Chapter 13 Cauchy’s rigidity theorem
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    Chapter 14 Touching simplices
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    Chapter 15 Every large point set has an obtuse angle
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    Chapter 16 Borsuk’s conjecture
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    Chapter 17 Sets, functions, and the continuum hypothesis
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    Chapter 18 In praise of inequalities
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    Chapter 19 The fundamental theorem of algebra
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    Chapter 20 One square and an odd number of triangles
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    Chapter 21 A theorem of Pólya on polynomials
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    Chapter 22 On a lemma of Littlewood and Offord
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    Chapter 23 Cotangent and the Herglotz trick
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    Chapter 24 Buffon’s needle problem
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    Chapter 25 Pigeon-hole and double counting
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    Chapter 26 Tiling rectangles
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    Chapter 27 Three famous theorems on finite sets
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    Chapter 28 Shuffling cards
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    Chapter 29 Lattice paths and determinants
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    Chapter 30 Cayley’s formula for the number of trees
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    Chapter 31 Identities versus bijections
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    Chapter 32 Completing Latin squares
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    Chapter 33 The Dinitz problem
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    Chapter 34 Five-coloring plane graphs
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    Chapter 35 How to guard a museum
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    Chapter 36 Turán’s graph theorem
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    Chapter 37 Communicating without errors
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    Chapter 38 The chromatic number of Kneser graphs
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    Chapter 39 Of friends and politicians
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    Chapter 40 Probability makes counting (sometimes) easy
Overall attention for this book and its chapters
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Mentioned by

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7 blogs
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20 X users
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24 Wikipedia pages

Citations

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124 Dimensions

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62 Mendeley
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Title
Proofs from THE BOOK
Published by
Springer-Verlag Berlin Heidelberg, January 2010
DOI 10.1007/978-3-642-00856-6
ISBNs
978-3-64-200855-9, 978-3-64-200856-6
Authors

Aigner, Martin, Ziegler, Günter M., Martin Aigner, Günter M. Ziegler, Ziegler, Günter M

X Demographics

X Demographics

The data shown below were collected from the profiles of 20 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 62 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 3 5%
Sweden 1 2%
Portugal 1 2%
Denmark 1 2%
Singapore 1 2%
Unknown 55 89%

Demographic breakdown

Readers by professional status Count As %
Student > Master 14 23%
Student > Ph. D. Student 11 18%
Researcher 9 15%
Professor 5 8%
Other 5 8%
Other 9 15%
Unknown 9 15%
Readers by discipline Count As %
Mathematics 23 37%
Computer Science 9 15%
Engineering 5 8%
Social Sciences 4 6%
Linguistics 2 3%
Other 9 15%
Unknown 10 16%