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...

What are the 50 key events you need to understand to grasp British history?

If you could choose the 50 things that define British history, events of significance not only in themselves, but in their importance to wider themes running through our past, what would they be? Hugh Williams has made that selection, and the result is a fascinating overview of Britain's past.

He refines British history into a series of key themes that represent a crucial strand in our history, and pinpoints the seminal events within those strands - Roots, from the Roman invasion to Britain's entry into...