This section contains free e-books and guides on Combinatorics, some of the resources in this section can be viewed online and some of them can be downloaded.

Combinatorics Books
 Enumerative CombinatoricsRichard P. StanleyPDF | 725 Pages | EnglishThis book will bring enjoyment to many future generations of mathematicians and aspiring mathematicians as they are exposed to the beauties and pleasures of enumerative combinatorics. Topics covered includes: What is Enumerative Combinatorics, Sieve Methods, Partially Ordered Sets, Rational Generating Functions, Graph Theory Terminology Lecture Notes CombinatoricsTorsten UeckerdtPDF | 137 Pages | EnglishThis lecture note covers the following topics: What is Combinatorics, Permutations and Combinations, Inclusion-Exclusion-Principle and Mobius Inversion, Generating Functions, Partitions, Partially Ordered Sets and Designs. Applied CombinatoricsMitchel T. Keller and William T. TrotterPDF | 346 Pages | EnglishThe purpose of this note is to give students a broad exposure to combinatorial mathematics, using applications to emphasize fundamental concepts and techniques. Topics covered includes: Introduction to Combinatorics, Strings, Sets, and Binomial Coefficients, Induction, Combinatorial Basics, Graph Theory, Partially Ordered Sets, Generating Functions, Recurrence Equations , Probability, Applying Probability to Combinatorics, Combinatorial Applications of Network Flows, Polya’s Enumeration Theorem. Combinatorial MathematicsStefan H. M. van ZwamPDF | 148 Pages | EnglishThis book covers the following topics: Counting, Ramsey Theory, Extremal combinatorics, Linear algebra in combinatorics, The probabilistic method, Spectral Graph Theory, Combinatorics versus topology, Designs, Coding Theory, Matroid theory and Graph theory. Basic CombinatoricsCarl G. WagnerPDF | 120 Pages | EnglishThis book covers the following topics: Fibonacci Numbers From a Cominatorial Perspective, Functions,Sequences,Words,and Distributions, Subsets with Prescribed Cardinality, Sequences of Two Sorts of Things with Prescribed Frequency, Sequences of Integers with Prescribed Sum, Combinatorics and Probability, Binary Relations, Factorial Polynomials, The Calculus of Finite Differences, Principle of Inclusion and Exclusions. Analytic CombinatoricsPhilippe Flajolet and Robert SedgewickPDF | 826 Pages | EnglishThe authors give full coverage of the underlying mathematics and give a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes throughout the book to aid understanding. Major topics covered includes: Symbolic Methods, Complex Asymptotics, Random Structures, Auxiliary Elementary Notions and Basic Complex Analysis. Combinatorics pdfJ. Laurie SnelPDF | 58 Pages | EnglishThis note covers the following topics: Permutations, Combinations , Bernoulli Trials, Binomial Expansion, Card Shuffling, Random Orderings and Random Processes. ANALYTIC COMBINATORICS SYMBOLIC COMBINATORICSPhilippe Flajolet and Robert SedgewickPDF | 196 Pages | English Combinatorial Algorithms An Architecture for Combinator Graph Reduction Convex sets, Polytopes, Combinatorial Topology, Voronoi Diagrams and Delaunay Triangulations Combinatorics of free probability theory Roland Speicher Classical Combinatory Logic Foundations of Combinatorics with Applications Topological methods in combinatorics, 199(PS) generating functionology