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.
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