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New Mexico Contest Problem Book

Liong-Shin Hahn
University of New Mexico Press
Publication Date: 
Number of Pages: 
Problem Book
[Reviewed by
Mihaela Poplicher
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This book contains a description of the New Mexico High School Contest, as well as problems in preparation for it (a chapter in Number Theory and Algebra and another in Geometry and Combinatorics). The problems have been proposed by Professor Liong-Shin Hahn, who has been a faculty member of the University of New Mexico’s Department of Mathematics and Statistics responsible for composing the problems for the Contest between 1990 and 1999. His enthusiasm and hard work have raised the New Mexico Mathematics Contest to national prominence. The two chapters with problems are followed by complete and very well explained solutions to all the problems.

The book also contains five appendices including:

  • New Mexico Mathematics Contests (both rounds, for the period 1990 to 1999);
  • Answers to New Mexico Mathematics Contests;
  • Calculus Competitions (a selection of problems from 1985 to 1989);
  • Brief Solutions to Calculus Competitions;
  • New Year Puzzles (not necessarily hard puzzles/problems for the years between 1985 and 2016. All the years!)

The book is not only a homage to Professor Hahn and his wonderful work as director of the New Mexico Mathematics Contest, but a very good source for students interested in high-school mathematics competitions, as well as teachers working with these students.

In short: this is a very good book, very well-written and useful for any high school student and any teacher, from any country. A true gem!

Mihaela Poplicher is an assistant professor of mathematics at the University of Cincinnati. Her research interests include functional analysis, harmonic analysis, and complex analysis. She is also interested in the teaching of mathematics. Her email address is .

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