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### Medieval.ppt

• 1. MEDIEVALAND RENAISSANCE MATHEMATICS BY: Tajana Novak, Andrea Gudelj, Srđana Obradović, Mirna Marković April, 2013.
• 2. MEDIEVAL MATHEMATICS  From the 4th to the 15th centuries  the early Middle Ages or Dark Ages (from 400AD to 1400AD)  period of stagnation  the late Middle Ages (just before the Renaissance)  spreading the knowledge from the East
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• 4. MEDIEVAL MATHEMATICIANS  Adelard of Bath, Herman of Carinthia, Gerard of Cermona –translated Euclid’s “Elements”  Robert of Chester –translated Al- Khwarizmi’s book into Latin  Leonardo of Pisa (Fibonacci)- Europe’s first great medieval mathematician -Hindu-Arabic numeral system (Liber Abaci, 1202 AD) -horizontal bar notation for fractions -first recursive number sequence -Liber Quadratorum, 1225 AD
• 5. Woman teaching geometry  The frontispiece of an Adelard of Bath Latin translation of Euclid's Elements, the oldest surviving Latin translation of the Elements is a 12th- century translation by Adelard from an Arabic version.
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• 7. MEDIEVAL MATHEMATICIANS  Nicole Oresme – used a system of rectangular coordinates -harmonical series is a divergent infinite series  Johann Müller (Regiomontatus)- trigonometry -De Triagulis, in 1450’s, first great book of trigonometry
• 8. RENAISSANCE MATHEMATICS  began in Italy  From 14th to 16th century  new way of thinking  concept of ‘zero’  many advancements in algebra
• 9. RENAISSANCE MATHEMATICIANS  Leonardo da Vinci - exploration of the world of proportionality and spatial mechanics - preferred drawing as his primary tool to execute his studies -eg: rhombicuboctahedron, Leonardo's Vitruvian man's perfect mathematical proportions
• 10. RENAISSANCE MATHEMATICIANS  Albercht Durer- supermagic square  Luca Pacioli- late 15th and early 16th centuries - Summa de Arithmetica, Geometria, Proportioni et Propotiionalita , 1494. – a book of arithmetic, geometry and book-keeping - symbols for plus and minus – standard notation -The Divine Proportion
• 11. RENAISSANCE MATHEMATICIANS  Niccolo Fontana Tartaglia- formula for solving cubic equations, complex numbers  Ludovico Ferrari- quadratic equations  Gerolamo Cardano- Ars Magna,1545 -first systematic treatment of probability  Rafael Bombelli –L’Algebra,1572 –imaginary numbers  Simon Stevin- De Thiende, 1585- decimal notation
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