Continued Fractions and Diophantine Equations
... a few simple Diophantine equations, then discuss the ideas behind rational approximation and develop the theory of continued fractions. Finally, we apply these results, and others, to solve various Diophantine equations. There is no general procedure for deciding whether a given Diophantine equation ...
... a few simple Diophantine equations, then discuss the ideas behind rational approximation and develop the theory of continued fractions. Finally, we apply these results, and others, to solve various Diophantine equations. There is no general procedure for deciding whether a given Diophantine equation ...
Hackettstown School District
... Enduring Understandings 1. What are the characteristics that define all 1. Quadratic equations can be used to model polynomial functions of the second degree? many real world situations. 2. How are quadratic equations used to model 2. Quadratic equations can be solved using a ...
... Enduring Understandings 1. What are the characteristics that define all 1. Quadratic equations can be used to model polynomial functions of the second degree? many real world situations. 2. How are quadratic equations used to model 2. Quadratic equations can be solved using a ...
