Preface -- Contents -- 1 The Square Root of 2 -- 2 Problems Leading to Pell's Equation and Preliminary Investigations -- 3 Quadratic Surds -- 4 The Fundamental Solution -- 5 Tracking Down the Fundamental Solution -- 6 Pell s Equation and Pythagorean Triples -- 7 The Cubic Analogue of Pell's Equation -- 8 Analogues of the Fourth and Higher Degrees -- 9 A Finite Version of Pell's Equation -- Answers and Solutions -- Glossary -- References -- Index.