An Introduction to Diophantine Equations A Problem-Based Approach /

• Main Authors: Andreescu, Titu (Author), Andrica, Dorin (Author), Cucurezeanu, Ion (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Boston : Birkhäuser Boston, 2010.
• Subjects: Mathematics.; Algebra.; Number theory.; Number Theory.

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 material is organized in two parts: Part I introduces the reader to elementary methods necessary in solving Diophantine equations, such as the dec...

Table of Contents:

• 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.