Discrete mathematics

  • SetsSets
  • The logical frameworkThe logical framework

Natural numbers

  • Natural numbersNatural numbers
  • InductionInduction
  • Matematik/Discrete mathematics/Minimality and maximalityMatematik/Discrete mathematics/Minimality and maximality
  • CountingCounting
  • Infinite setsInfinite sets
  • RelationsRelations

Number theory

  • IntegersIntegers
  • DivisibilityDivisibility
  • Representations of integersRepresentations of integers
  • Greatest common divisorGreatest common divisor
  • Prime numbersPrime numbers
  • Rational numbersRational numbers

Combinatorics

  • CombinatoricsCombinatorics
  • Euler's functionEuler's function
  • Words and selectionsWords and selections
  • PermutationsPermutations
  • Unordered selectionsUnordered selections
  • The Sieve principleThe Sieve principle
  • Möbius functionMöbius function

Partitions and permutations

  • PartitionsPartitions
  • Multinomial numbersMultinomial numbers
  • Partitions of integersPartitions of integers
  • Classification of permutationsClassification of permutations

Modular arithmetic

  • CongruenceCongruence
  • Latin squaresLatin squares
  • Chinese Remainder TheoremChinese Remainder Theorem
  • Error correcting codesError correcting codes

Graph theory

  • GraphsGraphs
  • Paths and cyclesPaths and cycles
  • TreesTrees
  • Graph colouringGraph colouring
  • Bipartite graphsBipartite graphs
  • Edge colouringEdge colouring
  • Latin rectanglesLatin rectangles
  • MatchingsMatchings
  • Directed graphsDirected graphs
  • Networks and flowsNetworks and flows
Interactive Graph
Table Of Contents
Discrete mathematics
Natural numbers
Number theory
Combinatorics
Partitions and permutations
Modular arithmetic
Graph theory