The Liber mahameleth A 12th-century mathematical treatise /
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...
| Κύριος συγγραφέας: | |
|---|---|
| Συγγραφή απο Οργανισμό/Αρχή: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Cham :
Springer International Publishing : Imprint: Springer,
2014.
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| Σειρά: | Sources and Studies in the History of Mathematics and Physical Sciences,
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| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.
