Book:Diophantus of Alexandria/Arithmetica

Diophantus of Alexandria: Arithmetica

Published $\text {c. $250$}$.

Subject Matter

• Number Theory

Contents

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Translations and Editions

• c. 900: Qust¸a ibn Luqa (Arabic translation of four of the books, discovered in 1971 in Iran)
• c. 980: Abu al-Wafa' Buzjani (Arabic translation and commentary)

• 1463: Regiomontanus
• 1570: Rafael Bombelli (from a manuscript found in the Vatican: included in his own 1572 work Algebra
• 1575: Wilhelm Xylander (translation into Latin)

• 1621: Diophanti Alexandrini Arithmeticorum by Bachet (the present standard edition). It was in Fermat's copy of this edition that the famous Fermat's Last Theorem was scribbled
  • 1670: the clumsily-edited second edition of the Bachet translation, by Clément-Samuel Fermat (the son of Pierre de Fermat), complete with Fermat's marginal notes

• 1585: Simon Stevin (French version of Books I -- IV, based on Wilhelm Xylander's edition
• 1625: Albert Girard (French version of Books V and VI, based on Wilhelm Xylander's edition

• 1822: Otto Schultz (German version based on Bachet)

• 1885: T.L. Heath: Diophantus of Alexandria
  • 1910: Sir Thomas L. Heath: Diophantus of Alexandria (2nd ed.)

• 1890: Gustav Wertheim (German version based on Bachet)

Sources

• 1992: George F. Simmons: Calculus Gems ... (previous) ... (next): Chapter $\text {A}.9$: Hypatia (A.D. $\text {370?}$ – $\text {415}$)
• 1992: David Wells: Curious and Interesting Puzzles ... (previous) ... (next): The First Pure Number Puzzles
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): Entry: Diophantus of Alexandria (c. ad 260)
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): Entry: Diophantus of Alexandria (c. ad 260)
• 2008: Ian Stewart: Taming the Infinite ... (previous) ... (next): Chapter $4$: Lure of the Unknown: Algebraic symbolism
• 2014: Christopher Clapham and James Nicholson: The Concise Oxford Dictionary of Mathematics (5th ed.) ... (previous) ... (next): Entry: Diophantus of Alexandria (about ad 250)