Math 824 (Algebraic Combinatorics)
General Information |
Lecture Notes |
Problem Sets |
The lecture notes are available from the Math 824
Google Group (last updated 8/20/10). I will probably add more
material as we
go. You may save a copy for personal use, but please do not distribute
them without my permission.
Problem Set #1 (due Fri 9/3/10)
Problem Set #2 (due Fri 9/17/10)
Problem Set #3 (due Fri 10/8/10)
Problem Set #4 (due Fri 11/5/10)
Problem Set #5 (due Wed 12/8/10)
All the books in the list below can be perused in Jeremy's office.
The official textbook is #1 in the list below; however, you may want to
substitute #3, whose material is a bit closer to what will be covered in
the class. (All the homework assignments will be self-contained.) You
should definitely obtain #4 and #5, which are free downloads.
In addition, #1 is currently being made into a second edition; you can
obtain the first two chapters for free from Stanley's website.
- R.P. Stanley, Enumerative Combinatorics, volume 1 (Cambridge, 1997)
(Enumeration; posets and lattices; generating functions)
- R.P. Stanley, Enumerative Combinatorics, volume 2 (Cambridge, 1999)
(More enumeration, including exponential generating functions; symmetric functions)
- M. Aigner, Combinatorial Theory (Springer, 1997)
(Enumeration; posets, lattices, and matroids)
- R.P. Stanley, Hyperplane Arrangements
(lecture notes available free online)
- A. Schrijver, A Course in Combinatorial
Optimization (lecture notes available free online)
- T. Brylawski and J. Oxley, The Tutte polynomial and its
applications, Chapter 6 of Matroid applications, N. White, ed.
(Cambridge Univ. Press, 1992)
Sagan, The Symmetric Group, 2nd edn. (Springer, 2001)
Here is complete information on the final project.
Mathematical and technical writing information:
Last updated Mon 11/29/10