Sourcebook in the Mathematics of Medieval Europe and North Africa (eBook)

Victor J. Katz, Menso Folkerts, Barnabas Hughes, Roi Wagner, J. Lennart Berggren (Herausgeber)

eBook Download: PDF

2016
592 Seiten
Princeton University Press (Verlag)
978-1-4008-8320-2 (ISBN)

Infos

Victor J. Katz is professor of mathematics emeritus at the University of the District of Columbia. Menso Folkerts is professor emeritus of the history of science at the Ludwig Maximilian University of Munich. Barnabas Hughes is professor emeritus of secondary education at California State University, Northridge. Roi Wagner is a research fellow at the Minerva Humanities Center at Tel Aviv University. J. Lennart Berggren is professor emeritus of the history of mathematics at Simon Fraser University in Canada.

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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 Hud's extensive survey of mathematics, which included proofs of Heron's Theorem and Ceva's Theorem; and Muhyi al-Din al-Maghribi'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.

Produkt-Details

• Erscheint lt. Verlag: 18.10.2016
• Zusatzinfo: 250 line illus.
• Verlagsort: Princeton
• Sprache: englisch
• Themenwelt: Geschichte ► Allgemeine Geschichte ► Mittelalter
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
• Themenwelt: Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
• Themenwelt: Naturwissenschaften
• Schlagworte: abbacist schools • Addition • Algebra • Analytic proof • Arabic civilization • Arabic mathematics • Arabic numerals • Area of a circle • arithmetic • Arithmetica • arithmetic progression • Axiom • Babylonian mathematics • Calculation • Ceva's theorem • Christian civilization • Circle of latitude • circumference • combination • combinatorics • Conchoid (mathematics) • conchoids • Coprime integers • Cross-multiplication • Cube (algebra) • Cube root • Curricula • decimals • Diagram (category theory) • DIAMETER • Divisor • Elementary mathematics • Equation • equilateral triangle • Euclid's elements • factorial • Fibonacci • Floor and ceiling functions • Geometric Algebra • geometric knowledge • Geometric series • Geometry • Great Circle • Greek mathematics • Harmonic series (mathematics) • Hebrew civilization • Hebrew mathematics • Herman of Carinthia • Hexagonal Number • Indian mathematics • Indian numerals • Inequality (mathematics) • Integer • Integer Factorization • Intellectual exchange • Intersection (set theory) • Islamic civilization • Islamic mathematics • Islamic World • Jewish civilization • Latin Catholic Europe • Latin civilization • Latin mathematics • Latin schools • Line (geometry) • Magic Square • Mathematical Induction • mathematical revelations • Mathematical Sciences • mathematician • Mathematics • Mathematics in medieval Islam • Measurement • medieval Europe • Medieval Islam • Medieval Latin • Medieval mathematics • medieval period • Menelaus' theorem • Moscow Mathematical Papyrus • multiplication • Multiplication table • Natural number • North Africa • Number Theory • Numerology • octahedron • Oxford Calculators • parallelogram • Parity (mathematics) • Pentagonal number • Permutation • philosophy of mathematics • Positional notation • prime factor • prime meridian • Prime number • Proportionality (mathematics) • Ptolemy's theorem • Quadratic equation • Quadrivium • Quantity • rectangle • Religion • Right angle • Right triangle • Robert of Chester • roman numerals • scientific notation • semicircle • Semi-major and semi-minor axes • Sexagesimal • Sign (mathematics) • Spain • Spherical law of cosines • Square (algebra) • Square Number • square root • Squaring the circle • subtraction • Summation • tetrahedron • The Book of Squares • Theorem • Thickness (graph theory) • Transversal (geometry) • Trigonometric Functions • Trigonometry • Universities • Variable (mathematics)
• ISBN-10: 1-4008-8320-2 / 1400883202
• ISBN-13: 978-1-4008-8320-2 / 9781400883202