Resources

A concise set of academic links, references, and tools for Tulane students interested in mathematics.

Coursework

Proofs

  • How to Prove It
    Daniel Velleman’s standard introduction to proof: logic, quantifiers, induction, relations, and mathematical writing.

LaTeX

  • Overleaf
    Online LaTeX editor for writing problem sets and notes in the browser.
  • MacTeX for macOS
    Local LaTeX distribution for macOS. Terminal install: brew install --cask mactex-no-gui.
  • MiKTeX for Windows
    Local LaTeX distribution for Windows. Terminal install: winget install MiKTeX.MiKTeX.
  • TeX Live for Linux
    Standard LaTeX distribution for Linux. On Debian or Ubuntu, a common terminal install is sudo apt install texlive-full.

Putnam

  • Putnam Archive
    Problems and solutions from past Putnam competitions, maintained by Kiran Kedlaya.
  • Official Putnam information (MAA)
    Competition overview, institutional participation details, and current announcements.
  • Putnam and Beyond
    A standard text for students who want a sustained collection of advanced competition problems and solutions.

Research

Grad School

Careers

Books

  • Abstract Algebra
    Dummit and Foote’s standard undergraduate algebra text on groups, rings, fields, and Galois theory.
  • Introduction to Real Analysis
    Bartle and Sherbert’s rigorous introduction to limits, continuity, differentiation, integration, and sequences of functions.
  • Book of Proof
    Richard Hammack’s free proof text, useful alongside a first formal course in proof writing.