TY - DATA AU - Morris,Joy ED - BC Open Textbook Project, ED - BCcampus. TI - Combinatorics: an upper-level introductory course in enumeration, graph theory, and design theory AV - QA164 .M67 2017eb PB - Joy Morris KW - Combinatorial analysis KW - Textbooks KW - Electronic books N1 - 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 N2 - "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 UR - https://open.bccampus.ca/find-open-textbooks/?uuid=db971e1f-dee2-4032-99b4-a9115d3f9ce6&contributor=&keyword=&subject= UR - http://solr.bccampus.ca:8001/bcc/file/db971e1f-dee2-4032-99b4-a9115d3f9ce6/1/Combinatorics.pdf ER -