Revisiting al-Samaw'al's table of binomial coefficients: Greek inspiration, diagrammatic reasoning and mathematical induction

DOI10.1007/s00407-015-0156-xzbMath1332.01010OpenAlexW638818748MaRDI QIDQ889611

Sanaa Bajri, Clemency Montelle, John Hannah

Publication date: 9 November 2015

Published in: Archive for History of Exact Sciences (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10092/11738

zbMATH Keywords

mathematical inductionPascal trianglebinomial theoremGreek influenceIslamic algebra

Mathematics Subject Classification ID

History of mathematics in the Golden Age of Islam (01A30) History of Greek and Roman mathematics (01A20)

Related Items (1)

Proofs and algebra in al-Fārisī's commentary

Uses Software

• DRaFT

Cites Work

• Algebra and Diophantine analysis. Edition, translation and commentary by Roshdi Rashed. Dual French-Arabic text
• Diagrams in the Arabic Euclidean tradition: a preliminary assessment
• L'extraction de la racine \(n\)-ième et l'invention des fractions décimales (XI\(^e\) -- XII\(^e\) siècles)
• Plato: Parmenides 149a7-c3. A proof by complete induction?
• Rabbi Levi ben Gershon and the origins of mathematical induction
• L'induction mathématique: al-Karaji, as-Samaw'al
• The Commentary of al-Nayrizi on Books II-IV of Euclid's <i>Elements of Geometry</i>
• Mathematical Induction: A Recurring Theme
• To Diagram, to Demonstrate: To Do, To See, and To Judge in Greek Geometry
• Lengths, widths, surfaces. A portrait of Old Babylonian algebra and its kin
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