Pell's Equation is a very simple Diophantine equation that has been
known to mathematicians for over 2000 years. Even today research
involving this equation continues to be very active, as can be seen by
the publication of at least 150 articles related to this equation over
the past decade. However, very few modern books have been published on
Pell's Equation, and this will be the first to give a historical
development of the equation, as well as to develop the necessary tools
for solving the equation.
The authors provide a friendly introduction for advanced undergraduates
to the delights of algebraic number theory via Pell's Equation. The only
prerequisites are a basic knowledge of elementary number theory and
abstract algebra. There are also numerous references and notes for those
who wish to follow up on various topics.