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Cover; Title; Copyright; Contents; Preface ; Permissions ; General Introduction ; Chapter 1. The Latin Mathematics of Medieval Europe ; Introduction ; I Latin Schools, 800-1140 ; I-1. Brief Selections ; 1. The Quadrivium of Martianus Capella ; 2. The Quadrivium of Cassiodorus
3. The Quadrivium of Isidore of Seville 4. A New Creation: Rules for Addition of Signed Numbers ; I-2. Numbering ; 1. Roman numerals ; 2. Finger reckoning ; 3. Isidore of Seville, Liber numerorum (Book of Numbers) ; 4. Hindu-Arabic numerals ; I-3. Arithmetic
1. Boethius, De institutione arithmetica (Introduction to Arithmetic) 2. Computus ; 3. "Gerbert's jump" ; 4. Pandulf of Capua, Liber de calculatione ; I-4. Geometry ; 1. Gerbert, Geometry ; 2. Gerbert: Area of an equilateral triangle ; 3. Units of measurement
4. Franco of Liège, De quadratura circuli 5. Hugh of St. Victor, Practica geometriae ; I-5. Recreational Mathematics ; 1. Number puzzles ; 2. Thought problems ; 3. The Josephus Problem ; 4. The most important medieval number game: the Rithmimachia
II. A School Becomes a University: 1140-1480 II-1. Translations ; 1. Translators and translations ; 2. Translations: A practical illustration ; II-2. Arithmetic ; 1. Al-Khwārizmī, Arithmetic; 2. Leonardo of Pisa (Fibonacci), Liber abbaci (Book on Calculation)
3. The Quadrivium of Isidore of Seville 4. A New Creation: Rules for Addition of Signed Numbers ; I-2. Numbering ; 1. Roman numerals ; 2. Finger reckoning ; 3. Isidore of Seville, Liber numerorum (Book of Numbers) ; 4. Hindu-Arabic numerals ; I-3. Arithmetic
1. Boethius, De institutione arithmetica (Introduction to Arithmetic) 2. Computus ; 3. "Gerbert's jump" ; 4. Pandulf of Capua, Liber de calculatione ; I-4. Geometry ; 1. Gerbert, Geometry ; 2. Gerbert: Area of an equilateral triangle ; 3. Units of measurement
4. Franco of Liège, De quadratura circuli 5. Hugh of St. Victor, Practica geometriae ; I-5. Recreational Mathematics ; 1. Number puzzles ; 2. Thought problems ; 3. The Josephus Problem ; 4. The most important medieval number game: the Rithmimachia
II. A School Becomes a University: 1140-1480 II-1. Translations ; 1. Translators and translations ; 2. Translations: A practical illustration ; II-2. Arithmetic ; 1. Al-Khwārizmī, Arithmetic; 2. Leonardo of Pisa (Fibonacci), Liber abbaci (Book on Calculation)