Combinatorics : an upper-level introductory course in enumeration, graph theory, and design theory / by Joy Morris.
Material type:
Continuing resourcePublisher: Joy Morris, Distributor: BCcampus, BC Open Textbook Project Description: 1 online resource (iii, 239 pages) : illustrationsSubject(s): Combinatorial analysis -- TextbooksGenre/Form: Electronic books.LOC classification: QA164 | .M67 2017ebOnline resources: BC Open Textbook Project title homepage. | BC Open Textbook Project. | Item type | Current library | Call number | URL | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|---|
eBook
|
Digital Library
Resources in this library are accessible in digital format e.g. eBooks or eJournals accessible online. |
QA164 .M67 2017eb (Browse shelf(Opens below)) | Link to resource | Available |
Includes index.
This bibliographic record is available under the Creative Commons CC0 "No Rights Reserved" license.
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.
"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.
Mode of access: World Wide Web.
This book is offered under the Creative Commons license (Attribution-NonCommercial-ShareAlike 2.0)
Online version, version 1.1 of June 2017; title from PDF (viewed on October 23, 2017).
There are no comments on this title.