Discrete Mathematics And Combinatorics
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Discrete Mathematics and Combinatorics
Discrete Mathematics and Combinatorics provides a concise and practical introduction to the core components of discrete mathematics, featuring a balanced mix of basic theories and applications. The book covers both fundamental concepts such as sets and logic, as well as advanced topics such as graph theory and Turing machines. The example-driven approach will help readers in understanding and applying the concepts. Other pedagogical tools - illustrations, practice questions, and suggested reading - facilitate learning and mastering the subject."--Cover
Discrete Mathematics With Combinatorics And Graph Theory
Discrete Mathematics is designed to serve as a textbook for a single-semester undergraduate course on the discrete and combinatorial mathematics. Beginning with a a lucid introduction to logic and set theory, the book goes on to cover matrix algebra, algebraic systems, coding theory, lattices and Boolean algebra, parts, and discrete probability A comprehensive chapter dedicated to graph theory makes it a complete undergraduate text on discrete mathematical structures.Written in an easy-to-understand manner, the book includes a large number of solved examples which illustrate problem-solving methodology. It contains an extensive set of exercises. Both solved and unsolved problems show a good gradation of difficulty levels. A summary at the end of each chapter reviews the key concepts discussed.
Combinatorial Mathematics
The object of this book is to provide an account of the results and methods used in combinatorial theories: Graph Theory, Matching Theory, Hamiltonian Problems, Hypergraph Theory, Designs, Steiner Systems, Latin Squares, Coding Matroids, Complexity Theory.In publishing this volume, the editors do not intend to discuss all the classical open problems in combinatorics for which an algebraic approach turns out to be useful. The work is a selection which is intended for specialists, as well as for graduate students who may also be interested in survey papers. The work features a special section which contains a list of unsolved problems proposed by the participants.