Introductory Discrete Mathematics
(eBook)

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Published
Dover Publications, 2012.
Status
Available Online

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Format
eBook
Language
English
ISBN
9780486140384

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Citations

APA Citation, 7th Edition (style guide)

V. K . Balakrishnan., & V. K . Balakrishnan|AUTHOR. (2012). Introductory Discrete Mathematics . Dover Publications.

Chicago / Turabian - Author Date Citation, 17th Edition (style guide)

V. K . Balakrishnan and V. K . Balakrishnan|AUTHOR. 2012. Introductory Discrete Mathematics. Dover Publications.

Chicago / Turabian - Humanities (Notes and Bibliography) Citation, 17th Edition (style guide)

V. K . Balakrishnan and V. K . Balakrishnan|AUTHOR. Introductory Discrete Mathematics Dover Publications, 2012.

MLA Citation, 9th Edition (style guide)

V. K . Balakrishnan, and V. K . Balakrishnan|AUTHOR. Introductory Discrete Mathematics Dover Publications, 2012.

Note! Citations contain only title, author, edition, publisher, and year published. Citations should be used as a guideline and should be double checked for accuracy. Citation formats are based on standards as of August 2021.

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Grouped Work IDec055149-de26-3136-5273-dd939b3cb0cd-eng
Full titleintroductory discrete mathematics
Authorbalakrishnan v k
Grouping Categorybook
Last Update2022-10-18 21:40:45PM
Last Indexed2024-03-27 03:42:10AM

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First LoadedJul 3, 2023
Last UsedAug 22, 2023

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    [synopsis] => 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.
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