Combinatorics

e-books in this category

Topics in Algebraic Combinatorics
by Richard P. Stanley - MIT , 2013
Contents: Walks in graphs; Cubes and the Radon transform; Random walks; The Sperner property; Group actions on boolean algebras; Young diagrams and q-binomial coefficients; Enumeration under group action; A glimpse of Young tableaux; etc.
(488 views)

Notes on Combinatorics
by Peter J. Cameron - Queen Mary, University of London , 2007
Contents: Subsets and binomial coefficients; Selections and arrangements; Power series; Recurrence relations; Partitions and permutations; The Principle of Inclusion and Exclusion; Families of sets; Systems of distinct representatives; etc.
(928 views)

Matroid Decomposition
by Klaus Truemper - Leibniz , 1998
Matroids were introduced in 1935 as an abstract generalization of graphs and matrices. Matroid decomposition covers the area of the theory dealing with decomposition and composition of matroids. The exposition is clear and simple.
(1692 views)

Combinatorial Geometry with Application to Field Theory
by Linfan Mao - InfoQuest , 2009
Topics covered in this book include fundamental of mathematical combinatorics, differential Smarandache n-manifolds, combinatorial or differentiable manifolds and submanifolds, Lie multi-groups, combinatorial principal fiber bundles, etc.
(4489 views)

New Perspectives in Algebraic Combinatorics
by Louis J. Billera, at al. - Cambridge University Press , 1999
The rich combinatorial problems arising from the study of various algebraic structures are the subject of the book. It will present the state of the art to graduate students and researchers in combinatorics as well as algebra, geometry, and topology.
(3517 views)

Applied Combinatorics
by S. E. Payne - University of Colorado , 2003
These notes deal with enumerative combinatorics. The author included some traditional material and some truly nontrivial material, albeit with a treatment that makes it accessible to the student. He derives a variety of techniques for counting.
(6547 views)

Analytic Combinatorics
by Philippe Flajolet, Robert Sedgewick - Cambridge University Press , 2008
Deals with the the analysis of discrete structures, that emerged over the past years as an essential tool in the understanding of computer programs and models with applications in science. The text contains examples and exercises.
(9415 views)

Combinatorial Algorithms
by Albert Nijenhuis, Herbert S. Wilf - Academic Press Inc , 1978
This is a collection of mathematical algorithms with many new and interesting examples in this second edition. The authors tried to place in the reader's hands a kit of building blocks with which the reader can construct more elaborate structures.
(10271 views)