Mathematics Olympiad References
Below is a list of references that I have found useful in my
involvement with Mathematics Olympiads. They are not in any
particular order. I suspect some will be difficult to
obtain. Never mind that, as there is a fair bit of overlap.
- Problem Solving Series,
Dept. of Math. and Stat., Univ. of Otago, Booklets 1 - 15.
- The Tool-Chest,
Australian Mathematical Olympiad Committee, 1989.
- T. Hill, Mathematical Challenges II,
(National Council of Teachers in Mathematics, 1974).
- F. Zorzitto, Euclidean Geometry,
University of Waterloo, 1979.
- D. Shklarsky, N. Chentzov, I. Yaglom,
The USSR Olympiad Problem Book,
(W.H. Freeman and Co., 1962).
- J. N. Fujii, Puzzles and Graphs,
(National Council of Teachers of Mathematics, Washington, 1966).
- E. Dynkin et. al.,
Mathematical Problems: An Anthology,
(Gordon and Breach, 1969).
- A. Soifer, Mathematics as Problem Solving,
(Colorado Springs, 1987).
- M. Charosh, Mathematical Challenges,
(National Council of Teachers of Mathematics, Washington, 1965).
- H. Jacobs, Geometry, (W. H. Freeman and Co., 1974).
- Robert P. Burn, A pathway into number theory,
(Cambridge University Press, New York, 1982)
- Clayton W. Dodge, Numbers & mathematics,
(Prindle, Weber & Schmidt, Boston, 1975)
- Ivan Niven, Herbert S. Zuckerman and Hugh L. Montgomery,
An introduction to the theory of numbers,
(Wiley, New York, 1991)
- Samuel L. Greitzer,
International Mathematical Olympiads, 1959-1977,
in New mathematical library 27,
(Mathematical Association of America, Washington, 1978)
- Rudolf Lidl and Günter Pilz,
Applied abstract algebra,
(Springer-Verlag Undergraduate texts in mathematics, New
York, 1984)
- Joe Roberts,
Elementary number theory : a problem oriented approach,
(M.I.T. Press, Cambridge, Mass., 1977)
Many other useful references may be found at the
official International Mathematics Oympiads website.
Last updated: 24 March, 1999.
Greg Gamble
http://maths.uwa.edu.au/~gregg/