1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Discrete Proofs from THE BOOK by Aigner and Ziegler

  1. Strongly Recommend

  2. Lightly Recommend

    0 vote(s)
  3. Lightly don't Recommend

    0 vote(s)
  4. Strongly don't Recommend

    0 vote(s)
  1. Jan 25, 2013 #1

    Table of Contents:
    Code (Text):

    [*] Number Theory
    [*] Six proofs of the infinity of primes
    [*] Bertrand’s postulate
    [*] Binomial coefficients are (almost) never powers
    [*] Representing numbers as sums of two squares
    [*] The law of quadratic reciprocity
    [*] Every finite division ring is a field
    [*] Some irrational numbers
    [*] Three times \pi^2/6
    [*] Geometry
    [*] Hilbert’s third problem: decomposing polyhedra
    [*] Lines in the plane and decompositions of graphs
    [*] The slope problem
    [*] Three applications of Euler’s formula
    [*] Cauchy’s rigidity theorem
    [*] Touching simplices
    [*] Every large point set has an obtuse angle
    [*] Borsuk’s conjecture
    [*] Analysis
    [*] Sets, functions, and the continuum hypothesis
    [*] In praise of inequalities
    [*] The fundamental theorem of algebra
    [*] One square and an odd number of triangles
    [*] A theorem of Pólya on polynomials
    [*] On a lemma of Littlewood and Offord
    [*] Cotangent and the Herglotz trick
    [*] Buffon’s needle problem
    [*] Combinatorics
    [*] Pigeon-hole and double counting
    [*] Tiling rectangles
    [*] Three famous theorems on finite sets
    [*] Shuffling cards
    [*] Lattice paths and determinants
    [*] Cayley’s formula for the number of trees
    [*] Identities versus bijections
    [*] Completing Latin squares
    [*] Graph Theory
    [*] The Dinitz problem
    [*] Five-coloring plane graphs
    [*] How to guard a museum
    [*] Turán’s graph theorem
    [*] Communicating without errors
    [*] The chromatic number of Kneser graphs
    [*] Of friends and politicians
    [*] Probability makes counting (sometimes) easy
    [*] About the Illustrations
    [*] Index
    Last edited by a moderator: May 6, 2017
  2. jcsd
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Can you offer guidance or do you also need help?
Draft saved Draft deleted

Similar Discussions: Proofs from THE BOOK by Aigner and Ziegler
  1. Proof-based math books (Replies: 5)

  2. Good book on proof (Replies: 4)