Pell's equation is a fundamental topic in elementary number theory, often introduced in introductory courses to illustrate the relationship between algebra and number theory. Practical applications include its use in continued fractions and Diophantine equations. Key questions surrounding Pell's equation involve its solutions and the historical context of its study. Valuable resources for further exploration include academic papers and online platforms dedicated to number theory.
PREREQUISITESStudents and educators in mathematics, particularly those focused on number theory, as well as researchers interested in the applications and historical significance of Pell's equation.
matqkks said:What is the best way to introduce Pell’s equation on a first elementary number theory course? Are there any practical applications of Pell’s equation? What are the really interesting questions about Pell’s equation? Are there any good resources on Pell’s equation.