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## Details

Genre/Form: | History |
---|---|

Material Type: | Internet resource |

Document Type: | Book, Internet Resource |

All Authors / Contributors: |
Rushdī Rāshid |

ISBN: | 0792325656 9780792325659 |

OCLC Number: | 29181926 |

Language Note: | Translation of: Entre arithmʹetique et algèbre : recherches sur l'histoire des mathématiques arabes. |

Description: | x, 372 pages : illustrations ; 23 cm. |

Contents: | Ch. I. The Beginnings of Algebra. 1. Al-Khwarizmi's Concept of Algebra. 2. Al-Karaji. 3. The New Beginnings of Algebra in the Eleventh and Twelfth Centuries. 4. Mathematical Induction: al-Karaji and al-Samawal -- Ch. II. Numerical Analysis: The Extraction of the nth Root and the Invention of Decimal Fractions (Eleventh to Twelfth Centuries) -- Ch. III. Numerical Equations: The Solution of Numerical Equations and Algebra: Sharaf al-Din al-Tusi and Viete -- Ch. IV. Number Theory and Combinatorial Analysis. 1. Diophantine Analysis in the Tenth Century: al-Khazin. 2. Ibn al-Haytham and Wilson's Theorem. 3. Algebra and Linguistics: Combinatorial Analysis in Arabic Science. 4. Amicable Numbers, Aliquot Parts and Figurate Numbers in the Thirteenth and Fourteenth Centuries. 5. Ibn al-Haytham and Perfect Numbers -- Appendix 1: The Notion of Western Science: "Science as a Western Phenomenon" -- Appendix 2: Periodization in Classical Mathematics. |

Series Title: | Boston studies in the philosophy of science, v. 156. |

Other Titles: | Entre arithmétique et algèbre. |

Responsibility: | Roshdi Rashed ; translated by A.F.W. Armstrong. |

More information: |

### Abstract:

An understanding of developments in Arabic mathematics between the IXth and XVth century is vital to a full appreciation of the history of classical mathematics.
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