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
 Huge list of online resources.
 Careers in mathematics
 Summer plans
 Contests
 Study abroad options:

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

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

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.)

Books appropriate for a 1semester 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:
 About Mathematics
 Fun articles
Date: 20141228 16:05:44 EST
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