An Introduction to Diophantine Equations

A Problem-Based Approach
2010. Auflage 2010
ISBN: 978-0-8176-4548-9
Verlag: Birkhauser Boston

Buch, Englisch, 345 Seiten, Format (B × H): 164 mm x 245 mm, Gewicht: 1510 g

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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

Andreescu, Titu

Andrica, Dorin

Cucurezeanu, Ion

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Zahlentheorie
• Mathematik | Informatik Mathematik Algebra Elementare Algebra

Inhaltsverzeichnis

Diophantine Equations.- Elementary Methods for Solving Diophantine Equations.- Some Classical Diophantine Equations.- Pell-Type Equations.- Some Advanced Methods for Solving Diophantine Equations.- Solutions to Exercises and Problems.- Solutions to Elementary Methods for Solving Diophantine Equations.- Solutions to Some Classical Diophantine Equations.- Solutions to Pell-Type Equations.- Solutions to Some Advanced Methods in Solving Diophantine Equations.