Category: Technology & Engineering|
The author of the book: V.K. Balakrishnan
Format files: PDF, EPUB, TXT, DOCX
The size of the: 4.44 MB
Edition: Dover Publications Inc.
Date of issue: 18 October 2010
Description of the book "Introductory Discrete Mathematics":This concise text offers an introduction to discrete mathematics for undergraduate students in computer science and mathematics. Mathematics educators consider it vital that their students be exposed to a course in discrete methods that introduces them to combinatorial mathematics and to algebraic and logical structures focusing on the interplay between computer science and mathematics. The present volume emphasizes combinatorics, graph theory with applications to some stand network optimization problems, and algorithms to solve these problems. Chapters 0-3 cover fundamental operations involving sets and the principle of mathematical induction, and standard combinatorial topics: basic counting principles, permutations, combinations, the inclusion-exclusion principle PDF, generating functions, recurrence relations, and an introduction to the analysis of algorithms. Applications are emphasized wherever possible and more than 200 exercises at the ends of these chapters help students test their grasp of the material. Chapters 4 and 5 survey graphs and digraphs, including their connectedness properties, applications of graph coloring, and more, with stress on applications to coding and other related problems. Two important problems in network optimization вЂ• the minimal spanning tree problem and the shortest distance problem вЂ• are covered in the last two chapters. A very brief nontechnical exposition of the theory of computational complexity and NP-completeness ePub is outlined in the appendix.
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