George Gilbert's Problem Solving Links



Putnam Preparation

  • The William Lowell Putnam Mathematical Competition, THE national collegiate mathematics contest, with links to U.S. national high school contests.
    (I was on the Questions Committee for the 1991, 1992, 1993, 2010, 2011, and 2012 exams.)

  • An archive of past Putnam problems and solutions maintained by Kiran Kedlaya.

  • On writing solutions to contest (and other) problems, by Richard Rusczyk and Mathew Crawford.

  • Problems for the TCU Problem Solving Seminar.

    Collegiate Subject Matter

  • The Indiana Collegiate Mathematics Competition, an annual contest among Indiana colleges and universities, sponsored by the Indiana Section of the Mathematics Association of America.

  • The Iowa Collegiate Mathematics Competition, an annual contest among Iowa colleges and universities, sponsored by the Iowa Section of the Mathematics Association of America.
    (I composed the 2006 exam.)

  • The Konhauser Problemfest, an annual contest among Minnesota colleges and universities.
    (I composed the 1999 and 2013 exams.)

  • The Missouri Collegiate Mathematics Competition , an annual contest among Missouri colleges and universities.

  • The University of Michigan Undergraduate Mathematics Competition.

  • The Virginia Tech Regional Mathematics Contest, an annual contest that is open to undergraduates through their home institution.

  • The International Mathematics Competition for University Students, an annual contest held in Europe.

    High School Subject Matter (but plenty challenging)

  • The International Mathematical Olympiad, world championship competition for high school students. Subject of the film Hard Problems.

  • The Asian Pacific Mathematical Olympiad.

  • The Balkan Mathematical Olympiad.

  • The British Mathematical Olympiad.

  • The Canadian Mathematical Olympiad.

  • MAA links to information about various national high school competitions.
    (I was on the AIME committee for several years.)

    Books

  • Problem Solving Through Problems, by Loren Larson, available in the TCU Library.

  • The Art and Craft of Problem Solving, by Paul Zeitz, available in the TCU Library.

  • A Mathemagtical Orchard: Problems and Solutions, by Mark Krusemeyer, George Gilbert, and Loren Larson,on order at the TCU Library.

  • The Inquistive Problem Solver, by Paul Vaderlind, Richard Guy, and Loren Larson, available in the TCU Library.

    Journals

  • Crux Mathematicorum, a journal devoted exclusively to problem solving, some issues available in the TCU Library.

  • Problems section in the Pi Mu Epsilon Journal. I have copies for the last few years I can loan out.

  • Problems section in The College Mathematics Journal, older issues available to the TCU community through JSTOR at the TCU Library..

  • Problems section in Mathematics Magazine, available in the TCU Library..

  • Problems section in The American Mathematical Monthly, available in the TCU Library.. These are often very hard.

    Please contact me, g.gilbert@tcu.edu, with suggestions for additions to my lists.
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