On the Foundations of Combinatorial Theory

I. Theory of Möbius Functions
  • Gian-Carlo Rota
Part of the Modern Birkhäuser Classics book series (MBC)


One of the most useful principles of enumeration in discrete probability and combinatorial theory is the celebrated principle of·inclusion-exclusion (ef. Feller*, FrÉchet, Riordan, Ryser). When skillfully applied, this principle has yielded the solution to many a combinatorial problem. Its mathematical foundations were thoroughly investigated not long ago in a monograph by FrÉchet, and it might at first appear that, after such exhaustive work, little else could be said on the subject.


Zeta Function Boolean Algebra Euler Characteristic Betti Number Combinatorial Theory 
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Copyright information

© Birkhäuser Boston, a part of Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • Gian-Carlo Rota
    • 1
  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridge 39USA

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