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Autore principale:Rashed, Roshdi, 1936-
Titolo:Classical mathematics from al-Khwarizmi to Descartes / Roshdi Rashed ; translated by Michael H. Shank.
Pubblicazione:London :  Routledge,  2015.  
Descrizione fisica:XVI, 749 p. :  ill. ;  24 cm  
Serie:Culture and civilization in the Middle East ; 44
Contiene:Indice: Foreword. Translator's note. Preface. Introduction: Problems of method: 1. The history of science: between epistemology and history 2. The transmission of Greek heritage into Arabic 3. Reading ancient mathematical texts: the fifth book of Apollonius's Conics 4. The founding acts and main contours of Arabic mathematics. Pt. 1. Algebra: 1. Algebra and its unifying role 2. Algebra and linguistics: the beginnings of combinatorial analysis 3. The first classifications of curves 4. Descartes's Géométrie and the distinction between geometrical and mechanical curves 5. Descartes's ovals 6. Descartes and the infinitely small 7. Fermat and algebraic geometry. Pt. 2. Arithmetic: 1. Euclidean, neo-Pythagorean and Diophantine arithmetics: new methods in number theory 2. Algorithmic methods 3. Thabit ibn Qurra and amicable numbers 4. Fibonacci and Arabic mathematics 5. Fibonacci and the Latin extension of Arabic mathematics 6. Al-Yazdi and the equation [mathematical expression] 7. Fermat and the modern beginnings of Diophantine analysis. Pt. 3. Geometry: 1. The Archimedeans and problems with infinitesimals 2. The traditions of the Conics and the beginning of research on projections3. The continuous drawing of conic curves and the classification of curves 4. Thabit ibn Qurra on Euclid's fifth postulate. Pt. 4. Application of mathematics: astronomy and optics: 1. The celestial kinematics of Ibn al-Haytham 2. From the geometry of the gaze to the mathematics of the phenomena of light. Conclusion: The philosophy of mathematics. Index
ISBN:9780415833882
Altri autori:Shank, Michael H.
Discipline:Aritmetica e Algebra--Studi.
Geometria--Studi.
Collocazione:LS 19877
Nota di esemplare: Mostra nota di esemplare
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