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Tthe Pell Equation

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Author(s): Edward Everett Witford
Year: 1912

Language: english

Title page
Origin of the name Pell Equation
Definition
Relation to square root approximation
The most ancient Hindu solutions
The most ancient Greek solutions
Theon of Smyrna
Archimedes
Heron of Alexandria
Diophantus
The Hindus
The Arabs
Europeans before Fermat
Fermat, Brouncker and Wallis
Euler
Relation to the general indeterminate equation of the second degree
Lagrange
Relation to the theory of quadratic forms
Gauss
Dirichlet
Relation to circle division
Relation to elliptic functions
Relation to units of a quadratic domain
Relation to hyperbolic functions
Classes of fundamental solutions
Tables of solutions
Table of the fundamental solutions of the equations x² - Ay² = ∓ 1 from A = 1,501 to A = 1,700
Bibliography
Appendix A, table of continued fractions for √A from A = 1,501 to A = 2,012
Index of names