<p>This book contains 500 problems that range over a wide spectrum of mathematics and of levels of difficulty. Some are simple mathematical puzzlers while others are serious problems at the Olympiad level. Students of all levels of interest and ability will be entertained by the book. For many problems, more than one solution is supplied so that students can compare the elegance and efficiency of different mathematical approaches. A special mathematical toolchest summarizes the results and techniques needed by competition-level students. Teachers will find the book useful, both for encouraging their students and for their own pleasure. Some of the problems can be used to provide a little spice in the regular curriculum by demonstrating the power of very basic techniques. The problems were first published as a series of problem booklets almost twenty years ago. They have stood the test of time and the demand for them has been steady. Their publication in book form is long overdue.</p>

Five Hundred Mathematical Challenges (Spectrum)

Science & Math

Murray S. Klamkin

Edward J. Barbeau

William O. J. Moser

Mathematics

The Mathematical Association of America

This work contains a series of exercises and problems to be solved in calculus, algebra, numerical analysis and complex variable theory. The exercises introduce many techniques and topics in the theory of equations, such as evolution and factorization of polynomials, solution of equations, interpolation, approximation and congruences. There are over 300 problems, drawn from journals, contests and examinations, designed to test understanding and skill.

Polynomials (Problem Books in Mathematics)

Springer, Verlag

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Books by Edward J. Barbeau