I was wondering what resources people new to mathematics competitions could use for preparing for the William Lowell Putnam Competition(or just the Putnam).
My background in mathematics is limited. I have recently started doing the book Abstract Algebra by Dummit and Foote and I am enjoying that book. I am yet to get a taste of real analysis though I have done single variable calculus rigorously .
1) How much mathematics does one need to learn before sitting for the Putnam?
2) What are the resources/books one could use?
I may never even study in the USA but I wish to convince myself that I can solve the Putnam problems too!
Thanks in advance!
Best Answer
You might start with this list of links.
You will get a large number of useful hits if you Google Putnam practice problems. I particularly like the problem selection from the Berkeley course H90 that used to be run by Professor William Kahan. There are a number of other courses and training programs with a web presence. While it is not possible to duplicate the atmosphere of a course if you are working by yourself, they are the nearest one can get.
One can do well on the Putnam with background that does not go beyond first or second year material (plus considerable problem solving experience). Many first year students have done very well.