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Medieval Europe was a meeting place for the Christian, Jewish, and Islamic civilizations, and the fertile intellectual exchange of these cultures can be seen in the mathematical developments of the time. This sourcebook presents original Latin, Hebrew, and Arabic sources of medieval mathematics, and shows their cross-cultural influences. Most of the Hebrew and Arabic sources appear here in translation for the first time.Readers will discover key mathematical revelations, foundational texts, and sophisticated writings by Latin, Hebrew, and Arabic-speaking mathematicians, including Abner of Burgos's elegant arguments proving results on the conchoid-a curve previously unknown in medieval Europe; Levi ben Gershon's use of mathematical induction in combinatorial proofs; Al-Mu'taman Ibn Hūd's extensive survey of mathematics, which included proofs of Heron's Theorem and Ceva's Theorem; and Muhyī al-Dīn al-Maghribī's interesting proof of Euclid's parallel postulate. The book includes a general introduction, section introductions, footnotes, and references.The Sourcebook in the Mathematics of Medieval Europe and North Africa will be indispensable to anyone seeking out the important historical sources of premodern mathematics.
Mathematics, Medieval --- History. --- Medieval mathematics --- Arabic civilization. --- Arabic mathematics. --- Christian civilization. --- Hebrew civilization. --- Hebrew mathematics. --- Islamic civilization. --- Islamic mathematics. --- Islamic world. --- Jewish civilization. --- Latin Catholic Europe. --- Latin civilization. --- Latin mathematics. --- Latin schools. --- Medieval Europe. --- North Africa. --- Spain. --- abbacist schools. --- combinatorics. --- conchoids. --- curricula. --- decimals. --- geometric knowledge. --- intellectual exchange. --- mathematical induction. --- mathematical revelations. --- mathematics. --- medieval Europe. --- medieval Islam. --- medieval mathematics. --- medieval period. --- quadrivium. --- religion. --- universities.
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Architectural design. --- Architecture --- Design architectural --- Mathematics. --- Mathématiques --- 72.012/013 --- 51 --- 72.013 --- 514 --- Architectuur en wiskunde ; architectuur en wetenschap --- Wright, Frank Lloyd --- Stedenbouw ; Venetië --- Proportieleer ; gulden snede ; gulden getal --- Kunst en natuur ; mathematische modellen ; fractalen --- Michelangelo ; Rome ; Bibliotheca Laurenziana ; ontleding tegelvloer --- Tegels ; wandtegels ; patrone ; ontleding door R. Penrose --- Alberti, Leon Battista --- Romeinse architectuur ; Rome ; Pantheon ; quadrivium --- Fibonacci cijfers --- Palladio, Andrea --- Afrikaanse kunst en architectuur ; geometrische analyse --- Gulden snede (architectuur) --- Modulaire coordinatie --- Proportie (architectuur) --- Symmetrie (architectuur) --- Wiskunde --- Mathematica --- Architectuur ; proportie, symmetrie, harmonie --- Wiskunde ; geometrie, meetkunde --- Mathématiques --- Architectural design --- Architecture, Western (Western countries) --- Building design --- Buildings --- Construction --- Western architecture (Western countries) --- Art --- Building --- Mathematics --- Design and construction --- Architecture, Primitive
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