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Bestseller
BestsellerE-Book
Author Morris, Joy, author.

Title Combinatorics : an upper-level introductory course in enumeration, graph theory, and design theory / by Joy Morris.

Publication Info. [Place of publication not identified] : Joy Morris, [2017]-
[Victoria] : BCcampus, BC Open Textbook Project

Copies

Location Call No. Status
 University of Saint Joseph: Pope Pius XII Library - Internet  WORLD WIDE WEB E-BOOK BCOPEN    Downloadable
Please click here to access this BCOPEN resource
Description 1 online resource (iii, 239 pages) : illustrations
Current Frequency Updated irregularly.
Description data file rda
Note Includes index.
Contents What is Combinatorics? -- Part I. Enumeration. Basic Counting Techniques -- Permutations, Combinations, and the Binomial Theorem -- Bijections and Combinatorial Proofs -- Counting with Repetitions -- Induction and Recursion -- Generating Functions -- Generating Functions and Recursion -- Some Important Recursively-Defined Sequences -- Other Basic Counting Techniques -- Part II. Graph Theory. Basics of Graph Theory -- Moving through graphs -- Euler and Hamilton -- Graph Colouring -- Planar graphs -- Part III. Design Theory. Latin squares -- Designs -- More designs -- Designs and Codes -- Appendix A. Solutions to selected exercises.
Summary "Combinatorics provides an introduction to enumeration, graph theory, and design theory. It is aimed at upper-level undergraduate students and the exercises expect some mathematical sophistication, including a reasonable ability to construct proofs. The text is designed to be used in an undergraduate course, but could be suitable for independent study by a student with some mathematical background and understanding of proofs. It does not assume any background knowledge of combinatorics"--BC Campus website.
System Details Mode of access: World Wide Web.
Note This book is offered under the Creative Commons license (Attribution-NonCommercial-ShareAlike 2.0)
This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license.
Online version, version 1.1 of June 2017; title from PDF (viewed on October 23, 2017).
Subject Combinatorial analysis -- Textbooks.
Genre/Form Electronic books.
Added Author BC Open Textbook Project, distributor.
BCcampus.
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