An Introduction to Diophantine Equations

This problem-solving book is an introduction to the study of Diophantine equations. It introduces the reader to elementary methods necessary in solving Diophantine equations and contains complete solutions to all exercises

This book is an introduction to the study of Diophantine equations. The book, organized in two parts, introduces the reader to the main elementary methods necessary in solving Diophantine equations, presents some classical Diophantine equations, and contains complete solutions to all of the exercises. The book is intended for undergraduates, high school students and their teachers, mathematics contests participants (including Olympiad and Putnam competitors), as well as any person interested in essential mathematics. This work uniquely presents unconventional and non-routine examples, ideas, and techniques.

Provides reader with the main elementary methods necessary in solving Diophantine equations Approaches Diophantine equations from a problem-solving standpoint, including some original exercises and solutions Covers classical Diophantine equations, including linear, Pythagorean and higher degree equations, as well as exponential Diophantine equations Includes supplementary material: sn.pub/extras

Inhalt
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.