Liber Mahameleth

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 large...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sesiano, Jacques (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Sources and Studies in the History of Mathematics and Physical Sciences,
Temas:
Mathematics.
History.
Algebra.
Sequences (Mathematics).
Geometry.
History of Mathematical Sciences.
Sequences, Series, Summability.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Part I
  • 1. The rebirth of mathematics in mediaeval Europe
  • 2. The Liber mahameleth
  • 3. Manuscripts of the Liber mahameleth
  • 4. Transmission of the Liber mahameleth
  • 5. Mathematics in the Liber mahameleth
  • 6. The edited Latin text
  • Part II
  • Translation
  • Beginning of the Book (on) mahameleth
  • A-I. on Numbers
  • A-II. on the Premisses necessary for practical arithmetic
  • A-III. on Multiplication
  • A-IV. on Division
  • A-V. on the Multiplication of fractions
  • A-VI. on the Addition of fractions to fractions
  • A-VII. on Subtracting
  • A-VIII. on the Division of fractions, with or without integers
  • A-IX. on the Determination of roots and on their multiplication, division, subtraction, addition and other related subjects
  • Beginning of the Second Part
  • B-I. on Buying and selling
  • B-II. on Profits
  • B-III. on Profit in partnership
  • B-IV. on Division according to portions
  • B-V. on Masses
  • B-VI. on Drapery
  • B-VIII. on Linens
  • B-VIII. on Grinding
  • B-IX. on Boiling must
  • B-X. on Borrowing
  • B-XI. on Hiring
  • B-XII. on the Diversity of workers' wages
  • B-XIII on Hiring carriers
  • B-XIV. on Hiring stone-cutters
  • B-XV. on the Consumption of oil by lamps
  • B-XVI. on the Consumption by animals
  • B-XVII. on the Consumption of bread by men
  • B-XVIII. on the Exchange of morabitini
  • B-XIX. on Cisterns
  • XX. on Ladders
  • B-XXI. on Another topic
  • B-XXII. on Messengers
  • B-XXIII. on Another topic
  • Glossary
  • Part III
  • Mathematical Commentary
  • Book A
  • A-I. Numbers
  • A-II. Premisses
  • A-III. Multiplication of Integers
  • A-IV. Division of integers
  • A-V. Multiplication of fractions
  • A-VI. Addition of fractions
  • A-VII. Subtraction of fractions
  • A-VIII. Division of fractions
  • A-IX. Roots
  • Book B
  • Introduction
  • B-I. Buying and selling
  • B-II. Profit
  • B-III. Profit in partnership
  • B-IV. Sharing out according to prescribed parts
  • B-V. Masses
  • B-VI. Drapery
  • B-VII. Linen cloths
  • B-VIII. Grinding
  • B-IX. Boiling must
  • B-X. Borrowing
  • B-XI. Hiring workers
  • B-XII. Wages in arithmetical progression
  • B-XIII. Hiring a carrier
  • B-XIV. Hiring stone-cutters
  • B-XV. Consumption of lamp-oil
  • B-XVI. Consumption by animals
  • B-XVII. Consumption of bread
  • B-XVIII. Exchanging moneys
  • B-XIX. Cisterns
  • B-XX. Ladders
  • B-XXI. Bundles
  • B-XXII. Messengers
  • B-XXIII. Mutual lending
  • Bibliography
  • Index.

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