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E-book
Author Sesiano, Jacques, author.

Title The Liber mahameleth : a 12th-century mathematical treatise. Part one. General introduction, Latin text / Jacques Sesiano
Published Cham, Switzerland : Springer, [2014]
©2014

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Description 1 online resource
Series Sources and Studies in the History of Mathematics and Physical Sciences
Sources and studies in the history of mathematics and physical sciences.
Contents Preface; Table of contents Part One; General introduction; 1. The rebirth of mathematics in mediaevalEurope.; 1.1 Early mediaeval times.; 1.2 The twelfth and thirteenth centuries.; 2. The Liber mahameleth.; 2.1 Contents.; 2.2 Origin and authorship.; 3. Manuscripts of the Liber mahameleth.; 3.1 Manuscript A.; 3.1.1 The two copyists.; 3.1.2 The two readers.; 3.2 Manuscript B.; 3.2.1 The copyist.; 3.2.2 The reader.; 3.2.3 Further reader's notes.; 3.3 Manuscript C.; 3.3.1 The copyist.; 3.3.2 The reader.; 3.4 Manuscript; 3.5 The disordered text.; 3.6 The ordered text
4. Transmission of the Liber mahameleth. 4.1 Early readers.; 4.2 Mediaeval traces.; 5. Mathematics in the Liber mahameleth.; 5.1 Particular prerequisites.; 5.1.1 Euclid's Elements.; 5.1.2 Ab ̄u K ̄amil's Algebra.; 5.1.3 Formulae of practical geometry.; 5.1.4 Other topics.; 5.2 Operations on proportions.; 5.2.1 Simple operations on one proportion.; 5.2.2 Transformation of one proportion.; 5.2.3 Relations between several proportions.; 5.3 Algebra.; 5.3.1 Algebraic language.; 5.3.2 Linear equations.; 5.3.3 Determinate systems of two linear equations
5.3.4 Indeterminate system of two linear equations. 5.3.5 Quadratic equations.; 5.3.6 Quadratic systems.; 5.4 Summation of series.; 5.4.1 Arithmetic series.; 5.4.2 Infinite geometric series.; 5.4.3 Other summations.; 5.5 Practical geometry.; 5.5.1 Plane figures.; 5.5.2 Solid figures.; 5.6 Metrology.; 5.6.1 Volumes (dry measures).; 5.6.2 Volumes (liquid measures).; 5.6.3 Lengths.; 5.6.4 Weights.; 5.6.5 Coins.; 6. The edited Latin text.; Table of contents Part Two; Table of contents Part Three; Incipit liber mahameleth; De numeris; Capitulum de hiis que debent preponi practice arimethice
Capitulum de multiplicationeCapitulum de divisione; De capitulo multiplicandi in fractionibus; Capitulum de agregatione fractionum cum fractionibus; Capitulum de minuendo; Capitulum de divisione fractionum inter se, sive cum integris sive non; Capitulum de inventione radicum, et de multiplicatione et divisione et diminutione et agregatione inter se, et de aliis huiusmodi; Capitulum de emendo et vendendo; Capitulum de lucris; Capitulum de lucro participum; Capitulum de divisione secundum portiones; Capitulum de massis; Capitulum de cortinis; Capitulum de linteis; Capitulum de molare
Capitulum de coquendo mustoCapitulum de mutuando; Capitulum de conductis; Capitulum de varietate mercedis operariorum; Capitulum de conducendis vectoribus; Capitulum de conducendis incisoribus lapidum; Capitulum de impensa olei lampadarum; Capitulum de impensa animalium; Capitulum de expensa hominum in pane; Capitulum de cambio morabitinorum; Capitulum de cisternis; Capitulum de scalis; Item de alio; Capitulum de nuntiis; Capitulum de alio; Translation; Beginning of the Book (on) mahameleth; (Chapter A-I) on Numbers; Chapter (A-II) on the Premisses necessary for practical arithmetic
Summary The Liber mahameleth is a work in Latin written in the mid-12th century based (mainly) on Arabic sources from Islamic Spain. It is now our principal source on mathematics in Islamic Spain at that time; There are few extant Arabic texts and no one is as complete as the LM. It is also the second largest mathematical work from the Latin Middle Ages (the other is by Fibonacci, some 50 years later). Since the three main manuscripts preserving it are incomplete and there are many scribal errors, a reliable Latin text has been established, which reports (in notes) the various readings of the manuscrip
Bibliography Includes bibliographical references
Notes Original text in Latin, commentary in English
Print version record
SUBJECT Liber mahameleth. http://id.loc.gov/authorities/names/no2010089502
Liber mahameleth fast
Subject Mathematics, Medieval.
Mathematics -- History -- 12th century
MATHEMATICS -- Essays.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Mathematics
Mathematics, Medieval
Genre/Form History
Form Electronic book
ISBN 9783319039404
3319039407
1306701732
9781306701730
Other Titles General introduction, Latin text