Introduction to Combinatorics
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More About This Title Introduction to Combinatorics
English
MARTIN J. ERICKSON, PhD, is Associate Professor at Truman State University, Kirksville, Missouri. His research interests include combinatorics, graph theory, and coding theory. Professor Erickson has received numerous national awards and is the author of several previous publications.
English
Preliminaries: Set Theory, Algebra, and Number Theory.
EXISTENCE.
The Pigeonhole Principle.
Sequences and Partial Orders.
Ramsey Theory.
ENUMERATION.
The Fundamental Counting Problem.
Recurrence Relations and Explicit Formulas.
Permutations and Tableaux.
The Polya Theory of Counting.
CONSTRUCTION.
Codes.
Designs.
Big Designs.
Bibliography.
Index.
EXISTENCE.
The Pigeonhole Principle.
Sequences and Partial Orders.
Ramsey Theory.
ENUMERATION.
The Fundamental Counting Problem.
Recurrence Relations and Explicit Formulas.
Permutations and Tableaux.
The Polya Theory of Counting.
CONSTRUCTION.
Codes.
Designs.
Big Designs.
Bibliography.
Index.
