

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




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,
InclusionExclusionPrinciple 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.
  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 








