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Al-Khwārizmī : the beginnings of algebra

Author: Rushdī Rāshid
Publisher: London : Saqi, ©2009.
Series: History of science and philosophy in classical Islam
Edition/Format:   Print book : Biography : EnglishView all editions and formats
Summary:
"Al-Khwarizmi's Algebra (Kitab al-Jabr wa-al-muqabala), written around 820, was the first scientific text in history to systematically present algebra as a mathematical discipline that is independent of geometry and arithmetic. Roshdi Rashed has produced the first Arabic critical edition of Al-Khwarizmi's work, containing an annotated translation into English, an introductory essay, and extensive commentaries on the  Read more...
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Genre/Form: Biography
History
Named Person: Muḥammad ibn Mūsá Khuwārizmī; Muḥammad ibn Mūsá Khuwārizmī; al- Khwarizmi.; Muḥammad Ibn-Mūsā al- H̲wārizmī
Material Type: Biography
Document Type: Book
All Authors / Contributors: Rushdī Rāshid
ISBN: 9780863564307 0863564305
OCLC Number: 432407408
Description: viii, 392 pages ; 25 cm.
Contents: I. Al-Khwarizml Mathematician --
Introduction --
I. Traditions of Calculation in the Eighth Century and Al-Khwarizmi's Algebra --
1.1. Introduction --
1.2. Al-Khwarizmf s language --
1.3. Al-Khwarizmi and the culture of the eighth century --
1.4. Linguists' calculation methods. A priori classification and combinatorics --
1.5. Juridical calculations --
II. Al-Khwarizmi's Knowledge of the Mathematical Literature --
2.1. Introduction --
2.2. Euclidean mathesis and al-Khwarizmi's idea of algebra --
2.2.1. Equations and algorithms --
2.2.2. Quadratic irrational quantities (surds) --
2.2.3. Geometrical proof and algebraic proof --
2.3. Euclid, Heron and al-Khwarizmi --
2.4. Diophantus and al-Khwarizmi --
2.5. Aryabhata, Brahmagupta and al-Khwarizmi --
II. Text and Translation --
Edition and Translation --
Book on Algebra and Muqabala --
Squares are equal to roots --
Squares are equal to a number --
Roots are equal to a number --
Squares plus roots are equal to a number --
Squares plus a number are equal to roots --
Roots plus a number are equal to squares --
Chapter on multiplication --
Chapter on addition and subtraction --
Division <and multiplication of roots> --
Chapter on the six problems --
first of the six problems --
Second problem --
Third problem --
Fourth problem --
Fifth problem --
Sixth problem --
Chapter on various problems --
Chapter on transactions --
Chapter on <surface>-measurement --
Problems on measurement --
Book on wills --
Chapter on assets and debt --
Another chapter on wills --
Another chapter on wills --
On another kind of wills --
On another kind of wills --
On another kind of wills --
Chapter on the will with a dirham --
Chapter on complement --
Calculation of the return <of inheritance> --
chapter thereof on marriage during illness --
Chapter on freeing <slaves> during illness --
Chapter on the return of the dowry --
Chapter on forward buying during illness.
Series Title: History of science and philosophy in classical Islam
Responsibility: edited, with translation and commentary, by Roshdi Rashed.

Abstract:

Al-Khwarizmi was a mathematician, astronomer and geographer. He worked most of his life as a scholar in the House of Wisdom in Baghdad during the first half of the 9th century and is considered by  Read more...

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