Introduction to Enumerative and Analytic Combinatorics

Basic methods. Applications of basic methods. Generating functions. Counting permutations. Counting graphs. Extremal combinatorics. Analytic combinatorics. Symmetric structures. Sequences in combinatorics. Counting magic squares and magic cubes. Appendix: The method of mathematical induction.

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• Teoria combinatória e dos grafos
• A matemática discreta
• Engenharia do controlo automático

Standard Young Tableaux;Exponential Generating Function;Mathematical Induction;Steiner Triple System;Counting Magic Cubes;Rooted Plane Trees;Counting Magic Squares;Vertex Set;Sequences in Combinatorics;Magic Cubes;Symmetric Structures;Ordinary Generating Function;Counting Graphs;Exponential Formula;Counting Permutations;Stirling Numbers;Generating Functions;Ferrers Shape;Combinatorics Applications;Unlabeled Vertices;Combinatorics Methods;Pigeonhole Principle;Combinatorics Introduction;Bipartite Graph;Combinatorics;Combinatorial Proof;Extremal Combinatorics;Power Series;Analytic Combinatorics;Compositional Formula;Enumerative Combinatorics;Blue Vertex;Red Vertex;Lattice Paths;Magic Squares;Finite Projective Plane;Nonnegative Integer;Exponential Growth Rate;Parking Function;Formal Power Series