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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.

For most students, the first and often only area of mathematics in college is calculus. And it is true that calculus is the single most important field of mathematics, whose emergence in the 17th century signalled the birth of modern mathematics and was the key to the successful applications of mathematics in the sciences.

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