Combinatorics :
Morris, Joy,
Combinatorics : an upper-level introductory course in enumeration, graph theory, and design theory / by Joy Morris. - 1 online resource (iii, 239 pages) : illustrations - Updated irregularly.
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.
Combinatorial analysis--Textbooks.
Electronic books.
QA164 / .M67 2017eb
Combinatorics : an upper-level introductory course in enumeration, graph theory, and design theory / by Joy Morris. - 1 online resource (iii, 239 pages) : illustrations - Updated irregularly.
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.
Combinatorial analysis--Textbooks.
Electronic books.
QA164 / .M67 2017eb