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m erickson pearls discrete mathematics

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Discrete Mathematics and its Applications, Martin Erikson, CRC Press, 2010, 281 pages. Contents ======== I Counting: Basic 1 Subsets of a Set 2 Pascal’s Triangle 3 Binomial Coefficient Identities II Counting: Intermediate 4 Finding a Polynomial 5 The Upward-Extended Pascal’s Triangle 6 Recurrence Relations and Fibonacci Numbers III Counting: Advanced 7 Generating Functions and Making Change 8 Integer Triangles 9 Rook Paths and Queen Paths IV Discrete Probability 10 Probability Spaces and Distributions 11 Markov Chains 12 Random Tournaments V Number Theory 13 Divisibility of Factorials and Binomial Coe?cients 14 Covering Systems 15 Partitions of an Integer VI Information Theory 16 What Is Surprise? 17 A Coin-Tossing Game 18 Shannon’s Theorems VII Games 19 A Little Graph Theory Background 20 The Ramsey Game 21 Tic-Tac-Toe and Animal Games VIII Algorithms 22 Counters 23 Listing Permutations and Combinations 24 Sudoku Solving and Polycube Packing A Hints and Solutions to Exercises B Notation Bibliography Index -_-

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m erickson pearls discrete mathematics

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