The Development of Arabic Mathematics: Between Arithmetic and AlgebraSpringer Science & Business Media, 30 jun 1994 - 382 páginas An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics. This book draws together more than ten studies to highlight one of the major developments in Arabic mathematical thinking, provoked by the double fecondation between arithmetic and the algebra of al-Khwarizmi, which led to the foundation of diverse chapters of mathematics: polynomial algebra, combinatorial analysis, algebraic geometry, algebraic theory of numbers, diophantine analysis and numerical calculus. Thanks to epistemological analysis, and the discovery of hitherto unknown material, the author has brought these chapters into the light, proposes another periodization for classical mathematics, and questions current ideology in writing its history. Since the publication of the French version of these studies and of this book, its main results have been admitted by historians of Arabic mathematics, and integrated into their recent publications. This book is already a vital reference for anyone seeking to understand history of Arabic mathematics, and its contribution to Latin as well as to later mathematics. The English translation will be of particular value to historians and philosophers of mathematics and of science. |
Índice
III | 1 |
IV | 8 |
V | 22 |
VI | 34 |
VII | 62 |
VIII | 85 |
IX | 147 |
X | 205 |
XII | 261 |
XIII | 275 |
XIV | 320 |
XV | 332 |
XVII | 350 |
XVIII | 356 |
367 | |
XI | 238 |
Otras ediciones - Ver todo
The Development of Arabic Mathematics: Between Arithmetic and Algebra R. Rashed Vista previa restringida - 2013 |
The Development of Arabic Mathematics: Between Arithmetic and Algebra R. Rashed No hay ninguna vista previa disponible - 2014 |
The Development of Arabic Mathematics: Between Arithmetic and Algebra R. Rashed No hay ninguna vista previa disponible - 2010 |
Términos y frases comunes
AB² Abū al-Farisi's al-Karajī al-Kashī al-Khayyam al-Khāzin al-Khwarizmī al-Samaw'al al-Samaw'al's al-Ṭūsī algebra algebraists aliquot amicable numbers Arabic mathematics arithmetic Arithmetica ax² calculation century coefficients combinatorial analysis cube cubic equations decimal fractions Descartes Diophantine analysis Diophantus divisors Euclid example exposition fact Fermat figurate numbers formulation geometrical historians Ibid Ibn al-Banna Ibn al-Haytham Ibn Qurra integer ISBN lemma mathematical induction mathematicians method multiply N₁ number theory numerical equations obtain perfect numbers polynomial prime number problem proof proposition prove Qurra's theorem R.S. Cohen Rashed rational remains root sexagesimal side solution solve square square-square subtract Synthese Library tenth Thabit ibn Qurra tion translation treatise Viète Wilson's theorem Woepcke writes x₁ أجزاء ألوف أن إلى الذي العدد سبعة عدد عشر عشر على مرتبة هذه هو واحد وهو
Pasajes populares
Página 366 - Recherches sur plusieurs ouvrages de Léonard de Pisé, découverts et publiés par M. le prince B. Buoncompagni , et sur les rapports qui existent entre ces ouvrages et les travaux mathématiques des Arabes, par MF Wœpcke.
Página 366 - III. Traduction d'un fragment anonyme sur la formation des triangles rectangles en nombres entiers, et d'un traité sur le même sujet par Aboà Dja'Jar Mohammed Ben Alhoçaïn (Atti dell' Accademia Pontificia de' Nuovi Lincei, anno i86i, vol.
Página 366 - Grecs. iSSz, in-8. i 5o — Essai d'une restitution de travaux perdus d'Apollonius sur les quantités irrationnelles, d'après un mss. arabe. i853, in ,|. i » — Discussion de deux méthodes arabes pour déterminer une valeur approchée de sin. i'.
Página 358 - Mersenne, Frénicle et l'élaboration de l'analyse combinatoire dans la première moitié du XVIIe siècle...