MATH 47a (Introduction to Mathematical Research)

Instructor

Teaching Assistant

Final Papers

• Nick Dufresne, An introduction to Schröder and unknown numbers
• Anton Geraschenko, An investigation of skyline polyominoes
• Robert Gross, A new application to the Josephus problem
• Efstathios Mytilinaios, Counting directed-convex polyominoes according to their perimeter
• Oleg Sofrygin, Counting the number of Dyck paths according to different types of parameters
• Eli A. Wolfhagen,An investigation of the Chung-Feller theorem and similar combinatorial identities

Handouts

• First problem set
• Second problem set
• Research problems on lattice paths
• Research problems on polyominoes
• Tables and formulas

Online resources

• The On-Line Encyclopedia of Integer Sequences
• MathSciNet
• Front for the Mathematics ArXiv
• JSTOR (Online acces to scanned papers from older journals.)
• Some online combinatorics journals
  • Electronic Journal of Combinatorics
  • Journal of Integer Sequences
  • Séminaire Lotharingien de Combinatoire
  • Discrete Mathematics and Theoretical Computer Science
• Two important combinatorics journals that you can access online.
  • Discrete Mathematics
  • Journal of Combinatorial Theory, Series A

LaTeX example files to download

• example.tex An example of a short mathematical paper written in LaTeX
• template.tex A "template" that you can use for writing a mathematical paper.
• reftemplate.tex Another sample paper that shows the format to use for including references in your paper.
• graphicsexample.tex , tree.eps , path.eps A LaTeX file and two epsf files that show how to include graphics in a LaTeX document. If you're using a Macintosh, you should download this encoded archive which has versions of the epsf files that you can see on the screen.

TeX and LaTeX links

• The UK List of TeX Frequently Asked Questions on the Web See in particular their page of LaTeX tutorials.
• LaTeX Tricks Information useful in writing mathematical papers--margins, headings, equation numbering, etc.
• LaTeX: from quick and dirty to style and finesse by Tony Roberts An online tutorial.
• Hypertext Help with LaTeX An online reference.
• LaTeX General Help Another online reference.
• A table of LaTeX symbols
• Penn State Macintosh TeX/LaTeX web site
• The TeX Users' Group More useful than the TUG home page is their TeX Resources on the Web
• LaTeX Project Page
• American Mathematical Society TeX Resources Page

• The AMS-LaTeX User's Guide. This tells you everything you might want to know about the features of AMS-LaTeX for typesetting mathematics that you won't find in a guide to generic LaTeX. This is a dvi file, so you will need OzTeX (or some other version of TeX) to view and print it. See also the AMS Short Math Guide for LaTeX.
• A short introduction to LaTeX . Also a pdf file.

The free program BBEdit Lite is very helpful in editing text files. Another Macintosh text editor is Alpha, which is more powerful than BBEdit, but more complicated. Alpha is shareware.

• BBEdit Lite
• Alpha

If you want your own copy of OzTeX, you can get it from the OzTeX home page. OzTeX is shareware, but Brandeis has a site licence that allows you to use it without paying the shareware fee. If you want to see the OzTeX documentation, you can find it in a file called ozuser.dvi inside the OzTeX folder.

For information about other versions of TeX for the Macintosh, see the Penn State Macintosh TeX/LaTeX web site.

A free version of TeX for Windows is MiKTeX.

For other versions of TeX and other TeX-related software, see TeX Resources on the Web.

If your spelling is less than perfect, you may find it helpful to use a a spell-checker. Excalibur is a spell-checker that's designed to be used with LaTeX files on the Macintosh. It does a very nice job and it's free.

Maple Links

• Indiana University's Getting Started With Maple
• Carl Eberhart's A Short Introduction to the Maple Language
• Waterloo Maple's Maple Tutorial
• Maple V by Example

To Ira Gessel's Home Page

To the Brandeis Mathematics Department Home Page