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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, 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 the minimal spanning tree problem and the shortest distance problem are covered in the last two chapters. A very brief nontechnical exposition of the theory of computational complexity and NP-completeness is outlined in the appendix. "

This Yearling paperback edition contains 13 pages of bonus material: the found notes and letters of Mary Malone. It also features chapter-opening artwork by Philip Pullman. Charlotte the Royal Princess Fairy helps make sure that all royal babies are happy, comfortable and snug in their cribs. But when Jack Frost steals her magical lion soft toy, babies everywhere are up all night crying! Can Kirsty and Rachel help get it back and stop the palace pandemonium? * Supports progression - shows students how to improve via modelling, scaffolded activities and end-of-chapter self-assessment tasks and checklists, and prepares them for a seamless transition to Cambridge IGCSE EFL * Rich, varied and engaging text extracts - up-to-date, international literature and non-fiction texts represent the different forms and purposes required at each stage of the curriculum * Simultaneous publication of print and eBook editions Revolting Rhymes download ebook pdf of the Student Books - allows schools to choose between print and digital formats according to their needs and resources * A clear lesson-by-lesson approach - allows teachers easily to use the resources in the classroom and to dip in to support their own schemes of work 'This text has not been through the Cambridge endorsement process'.

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Author: V.K. Balakrishnan
Number of Pages: 256 pages
Published Date: 18 Oct 2010
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486691152
Download Link: Click Here
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Secret Brotherhoods: And the Mystery of the Humandouble
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