This introduction to combinatorics is suitable for upper-level undergraduates and graduate students in engineering, science, and mathematics. Covers basic counting, functions, decision trees, and sieving methods; fundamental concepts in graph theory and a sampler of graph topics; induction and recursion, sorting theory, and rooted plane trees. Numerous exercises (some with solutions), notes, and references. Includes 75 figures. Appendixes.
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The book provides a solid introductory course for mathematics and mathematical computer science students. Designed for use in a number of courses, this book is appropriate for rigorous lower division courses, upper division courses in engineering, science, and mathematics, and beginning graduate courses. The material has been fully class-tested and includes many helpful examples and exercises. A solutions manual is also available.
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