Notes on Combinatorics
by Peter J. Cameron
Publisher: Queen Mary, University of London 2007
Number of pages: 130
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; Latin squares; Steiner triple systems.
Home page url
Download or read it online for free here:
by Kenneth P. Bogart - Dartmouth College
This is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as 'counting'. The book consists almost entirely of problems.
by Richard P. Stanley - MIT
The standard guide to the topic for students and experts alike. The material in Volume 1 was chosen to cover those parts of enumerative combinatorics of greatest applicability and with the most important connections with other areas of mathematics.
by William Chen - Macquarie University
Contents: Uniform Distribution; Classical Discrepancy Problem; Generalization of the Problem; Introduction to Lower Bounds; Introduction to Upper Bounds; Fourier Transform Techniques; Upper Bounds in the Classical Problem; Disc Segment Problem; etc.
by David Guichard - Whitman College
The book covers the classic parts of Combinatorics and graph theory, with some recent progress in the area. Contents: Fundamentals; Inclusion-Exclusion; Generating Functions; Systems of Distinct Representatives; Graph Theory; Polya-Redfield Counting.