Pell’s Equation

• Main Author: Barbeau, Edward J. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2003.
• Series: Problem Books in Mathematics,
• Subjects: Mathematics.; Number theory.; Number Theory.

Pell's equation is an important topic of algebraic number theory that involves quadratic forms and the structure of rings of integers in algebraic number fields. The history of this equation is long and circuitous, and involved a number of different approaches before a definitive theory was fo...

Table of Contents:

• The Square Root of 2
• Problems Leading to Pel?s Equation and Preliminary Investigations
• Quadratic Surds
• The Fundamental Solution
• Tracking Down the Fundamental Solution
• Pel?s Equation and Pythagorean Triples
• The Cubic Analogue of Pel?s Equation
• Analogues of the Fourth and Higher Degrees
• A Finite Version of Pel?s Equation.