Challenges in Geometry - Chirstopher Bradley

This book is written for students who are interested in geometry and number theory,
for those involved in Mathematical Olympiads, and for teachers in universities
and schools. It is more of a geometry book than a book about integers and contains,
among other things, a full account of the properties of triangles and circles normally
associated with an advanced course of Euclidean geometry. The restriction to configurations
in which various lengths are required to have integer values provides a
natural and appealing link between elementary geometry and interesting problems
involving Diophantine equations. Though the content is mostly elementary, some of
the results would appear to be new. The book is not designed for any particular course
of study, but is suitable as additional reading for undergraduates studying these topics,
for students preparing for competitions, and for other mathematically advanced high
school students.

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