Abstract
The first chapter presented a situation that led to pairs of integers (x, y) that satisfied equations of the form x 2 - 2y 2 = k for some constant k. One of the reasons for the popularity of Pell’s equation as a topic for mathematical investigation is the fact that many natural questions that one might ask about integers lead to a quadratic equation in two variables, which in turn can be cast as a Pell’s equation. In this chapter we will present a selection of such problems for you to sample.
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© 2003 Springer-Verlag New York, Inc.
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Barbeau, E.J. (2003). Problems Leading to Pell’s Equation and Preliminary Investigations. In: Pell’s Equation. Problem Books in Mathematics. Springer, New York, NY. https://doi.org/10.1007/0-387-22602-8_2
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DOI: https://doi.org/10.1007/0-387-22602-8_2
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-3040-8
Online ISBN: 978-0-387-22602-6
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