Research Catalog

Title

Al-Khwārizmī : the beginnings of algebra / edited, with translation and commentary, by Roshdi Rashed.

Publication

London : Saqi, c2009.

Items in the Library & Off-site

Details

Additional Authors

Rāshid, Rushdī.

Description

viii, 392 p.; 25 cm.

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 text." "Roshdi Rashed is a leading authority in the history and philosophy of science and mathematics. He is senior director of research at the Centre National de la Recherche Scientifique in Paris, and is a former professor at the University of Tokyo."--Jacket.

Series Statement

History of science and philosophy in classical Islam

Subject

• Khuwārizmī, Muḥammad ibn Mūsá, active 813-846
• Muslim scientists > Biography
• Mathematics, Arab
• Algebra > History

Genre/Form

• Biographies
• History
• Translations (form)

Bibliography (note)

• Includes bibliographical references and indexes.

Processing Action (note)

• committed to retain

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.

ISBN

• 9780863564307 (cased)
• 0863564305 (cased)

OCLC

• 432407408
• SCSB-12569954

Owning Institutions

Harvard Library