This problem-solving book is an introduction to the study of
Diophantine equations, a class of equations in which only integer
solutions are allowed. The presentation features some classical
Diophantine equations, including linear, Pythagorean, and some
higher degree equations, as well as exponential Diophantine
equations. Many of the selected exercises and problems are original
or are presented with original solutions. An Introduction to
Diophantine Equations: A Problem-Based Approach is intended for
undergraduates, advanced high school students and teachers,
mathematical contest participants - including Olympiad and Putnam
competitors - as well as readers interested in essential
mathematics. The work uniquely presents unconventional and
non-routine examples, ideas, and techniques.
General
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