An Introduction to Diophantine Equations: A Problem-Based Approach

by Titu Andreescu, Dorin Andrica, Ion Cucurezeanu

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 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.

Genres: Mathematics

356 pages, Hardcover

First published January 1, 2010

About the author

Titu Andreescu is an associate professor of mathematics at the University of Texas at Dallas. He is also firmly involved in mathematics contests and Olympiads, being the Director of AMC (as appointed by the Mathematical Association of America), Director of MOP, Head Coach of the USA IMO Team and Chairman of the USAMO. He has also authored a large number of books on the topic of problem solving and Olympiad-style mathematics.

Reviews

[MathMonk · Rating 5 out of 5]

I used this book to introduce myself to the fascinating world of Diophantine Equations when I started working in Number theory last year.