Liber Mahameleth

Liber Mahameleth

Sesiano, Jacques

Springer International Publishing AG

04/2014

1734

Dura

Inglês

9783319039398

15 a 20 dias

3232

Descrição não disponível.
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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Liber Mahameleth;Muhammad al-Khwarizmi;arithmetical theory;mathematics in Islamic Spain;mathematics in the Latin Middle Ages;metrology