Fun math links for Undergraduates

• Kiran Kedlaya maintains the best such list here.
• The best link to go to if you are curious about mathematics
  • AMS info for Undergraduate Math Majors
• Huge list of online resources.
• Careers in mathematics
  • http://www.maa.org/careers/
  • http://www.ams.org/careers/
  • http://oedb.org/careers/math/
• Summer plans
  • List of REU's (Research Experiences for Undergraduates)
  • NSA summer program
• Contests
  • Putnam competition, (Past Putnam Archive, Putnam training page, Mic Gringi's Putnam page, Vakil's page, Sound's Polya page)
  • The Mathematical contest in Modeling
• Study abroad options:
  • Budapest Semesters in Mathematics
  • Math in Moscow
  • Mathematical Advanced Study Semester (Penn State)
  • Part III Tripos (in Cambridge, England)
• Interesting math videos:
  • Math doodling by Vi Hart
  • Nova: Hunting the hidden dimension
  • Nova: The Proof (of Fermat's last theorem)
  • Love and Math
  • Numberphile
• Art of Problem Solving
• http://www.khanacademy.org/
• Applying to graduate schools
  • List of graduate programs
  • Advice
• Graduate Fellowships (Apply as a finishing senior and as a 1st and 2nd year graduate student)
  • National Science Foundation Graduate Research Fellowhship. (Deadline usually early November)
  • NDSEG (Deadline usually mid December)
  • Hertz Foundation fellowship
  • NSERC (For Canadians)
• Some popular math books
  • The Man Who Loved Only Numbers: The Story of Paul Erdos and the Search for Mathematical Truth, Paul Hoffman
  • Fermat's Enigma, Simon Singh
  • From Here to Infinity, Ian Stewart (This one is my favorite.)
  • Does God Play Dice, Ian Stewart
  • The Man Who Knew Infinity
• Some expository papers, articles, and books suitable for advanced undergrads
  • How to solve a Diophantine equation, by Michel Stoll
  • Conjectures that have been disproved with extremely large counterexamples?
  • Freshman Seminar on Elliptic Curves, by William Stein (Many good references on that page too.)
  • Primes, by Barry Mazur and William Stein
  • A nice article about fractals
  • Math Lectures for Undergraduates by Serge Lang,
  • Chip firing, by Matt Baker
  • Hilbert's tenth problem over rings of number theoretic interest
  • Links about the ABC conjecture
  • Mazur's number theory as gadfly
• Publications aimed at (or otherwise suitable for) undergraduates. (You may have to be logged in at a university to access some of these.)
  • Math Horizons
  • The Mathematical Intelligencer
  • Mathematics Magazine
  • The College Mathematics Journal
  • The American Mathematical Monthly
  • Notices of the AMS
  • Pi in the sky
  • See also this,
• Books appropriate for a 1-semester or winter reading course by advanced undergraduates
  • "Basic Topology", Armstrong
  • "Primes", Mazur and Stein
  • "Rational Points on Elliptic Curves", Silverman and Tate
  • "Topology from the Differentiable Viewpoint", Milnor
  • "Undergraduate Algebraic Geometry", Reid
  • "Galois Theory", by Ian Stewart. (Appropriate after taking a bit of abstract algebra.)
• Cool mathematematical toys
• About majoring in mathematics:
  • Why major in mathemtics?
  • What can a math degree do for you?
• About Mathematics
  • A Mathematician's Lament
• Fun articles
  • A mathematical seduction
  • Part 1: What is the first little bit of math that made you realize that math is beautiful?
  • Part 2: What was the first bit of mathematics that made you realize that math is beautiful?