Provides up-to-date information on discrete and combinatorial mathematicsIncludes two new chapters on data mining and bioinformaticsFeatures new sections on computational learning, combinatorial games, elliptic curves, and Monte Carlo simulationContains definitions, examples, key theorems, and open questions in each chapter
The importance of discrete and combinatorial mathematics continues to increase as the range of applications to computer science, electrical engineering, and the biological sciences grows dramatically. Providing a ready reference for practitioners in the field, the Handbook of Discrete and Combinatorial Mathematics, Second Edition presents additional material on Google's matrix, random graphs, geometric graphs, computational topology, and other key topics. New chapters highlight essential background information on bioinformatics and computational geometry. Each chapter includes a glossary, definitions, facts, examples, algorithms, major applications, and references.
Table of Contents
Foundations. Counting Methods. Sequences. Number Theory. Algebraic Structures. Linear Algebra. Discrete Probability. Graph Theory. Trees. Networks and Flows. Partially Ordered Sets. Combinatorial Designs. Discrete and Computational Geometry. Coding Theory and Cryptology. Discrete Optimization. Theoretical Computer Science. Information Structures. Data Mining. Bioinformatics.