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Discrete Mathematics - NYU Courant

Discrete MathematicsLecture Notes, Yale University, Spring 1999L. Lov asz and K. VesztergombiParts of these lecture notes are based onL. Lov asz J. Pelik an K. Vesztergombi: Kombinatorika(Tank onyvkiad o, Budapest, 1972);Chapter 14 is based on a section inL. Lov asz Plummer: Matching theory(Elsevier, Amsterdam, 1979)12 Contents1 Introduction52 Let us count! A party .. Sets and the like .. The number of subsets .. Sequences .. Permutations .. 173 The sum of odd numbers .. Subset counting revisited .. Counting regions .. 244 Counting The number of ordered subsets .. The number of subsets of a given size .. The Binomial Theorem .. Distributing presents .. Anagrams .. Distributing money .. 335 Pascal s Identities in the Pascal Triangle.

discrete mathematics. (“Discrete” here is used as the opposite of “continuous”; it is also often used in the more restrictive sense of “finite”.) The aim of this book is not to cover “discrete mathematics” in depth (it should be clear from the description above that such a task would be ill-defined and impossible anyway).

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