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Synopsis
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and in mathematical research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas in writing to explain how they conceive problems, what conjectures they make, and what conclusions they reach. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory. New & Used
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What Reviewers Are Saying
From the reviews:
"In short, this book is a very valuable tool for any student/coach interested in preparing for mathematics competitions, especially the International Mathematical Olympiad. College students participating in the Putnam competition might also find quite a few interesting problems. Moreover, any course in number theory could be supplemented with this book and could use some of the references included. Even research mathematicians working in number theory will find this book of value in their pursuits." -MAA Online
"The names of the authors sound familiar for teachers of mathematics and mathematicians who use books of these types ... . I am sure about the success of this book. It is going to be a 'bestseller'. It can be useful for high school students preparing for contests, and for teachers helping them all over the world. I am also reliant on being able to insert some excellent problems of the book into the syllabus of number theory courses at university level." (Jozsef Kosztolanyi, Acta Scientiarum Mathematicarum, Vol. 73, 2007)
"The book starts with a gentle introduction to number theory. It serves for a training of the participants of the U. S. International Mathematical Olympiad. ... The 104 problems are carefully selected. ... The solutions are also carefully presented." (J. Schoissengeier, Monatshefte fur Mathematik, Vol. 156 (3), March, 2009)
"In short, this book is a very valuable tool for any student/coac
"The names of the authors sound familiar for teachers of mathematics and mathematicia
"The book starts with a gentle introduction