ENGLISH

Tthe Pell Equation

By Edward Everett Witford

Book information

Year
1912
Language
english
Format
DJVU
Filesize
3 MB (3643286 bytes)
Pages
\197
Time added
2022-08-01 09:34:07

Description

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

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