## Combinatorics: A Problem Oriented ApproachThe format of this book is unique in that it combines features of a traditional text with those of a problem book. The material is presented through a series of problems, about 250 in all, with connecting text; this is supplemented by a further 250 problems suitable for homework assignment. The problems are structured in order to introduce concepts in a logical order, and in a thought-provoking way. The first four sections of the book deal with basic combinatorial entities; the last four cover special counting methods. Many applications to probability are included along the way. Students from a wide range of backgrounds, mathematics, computer science or engineering will appreciate this appealing introduction. |

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#### LibraryThing Review

User Review - sloDavid - LibraryThingMarcus does a first-rate job of teaching the reader by example. His method of introducing concepts bit-by-bit through a series of problems that build upon earlier examples is innovative. The back ... Read full review

### Contents

Strings | 3 |

Distributions | 31 |

Partitions | 47 |

Inclusion and Exclusion | 63 |

Generating Functions | 87 |

List of Standard Problems | 119 |

### Common terms and phrases

0-dominated 16 strings accompanying figure allowing repetition alternating sum balls go balls into three binomial expansion bit strings cards coin problem combination numbers combinatorial consider Construct the cycle contain at least correspond count the number counting combinations cube cycle code cycle index polynomial derangement numbers digits distinct balls distribution number empty boxes example expansion Explain exponential generating function Fibonacci sequence Find the number Find the probability five balls five-letter words flags flipped given length given set Hint identical balls identity transformation inclusion/exclusion invariant numbers missing letters Notation number of balls number of colorings number of combinations number of distributions number of elements number of five-letter number of orbits number of partitions number of rearrangements orbit lengths Pascal's triangle pattern inventory positive integer recurrence relation Repeat problem represent the number result set of distinct specified number stabilizer numbers Standard Problem Stirling numbers strings of length tetrahedron

### References to this book

Biotic Interactions in Plant-pathogen Associations Michael J. Jeger,N. J. Spence Limited preview - 2001 |