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Al-Kashi's Miftah al-Hisab, Volume II: Geometry: Translation and Commentary de Nuh Aydin

Al-Kashi's Miftah al-Hisab, Volume II: Geometry: Translation and Commentary

Autor Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk
en Limba Engleză Hardback – 3 dec 2020
Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the second book in a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, it changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī’s most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī’s influence into the 21st century and beyond.
 
The book opens by briefly recounting al-Kāshī’s biography, so as to situate readers in the work’s rich historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī’s calculations of 2π and sin(1⁰) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. This translation contributes to the understanding and appreciation of al-Kāshī’s esteemed place in the scientific world. A side-by-side presentation of the source manuscript—one of the oldest known copies—and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text’s mathematical and historical basis.
 
Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world’s most neglected figures.
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Specificații

ISBN-13: 9783030613297
ISBN-10: 3030613291
Pagini: 195
Ilustrații: VIII, 195 p. 120 illus., 89 illus. in color.
Dimensiuni: 210 x 279 mm
Greutate: 0.82 kg
Ediția:1st ed. 2020
Editura: Springer International Publishing
Colecția Birkhäuser
Locul publicării:Cham, Switzerland

Cuprins

Preface.- Introduction.- The Fourth Treatise: On Measurements.

Recenzii

“It is especially useful for people that need arithmetic and elementary mathematics to solve practical problems in their everyday life or in their professions. … The facsimile is reproduced in a high-quality coloured version that makes it easy for readers to read the main text as well as the marginal notes. Thanks to the side-by-side presentation of the manuscript … . this study remains invaluable for all those who would like to discover the most important text of al-Kāshī.” (Marc Moyon, zbMATH 1471.01002, 2021)

Textul de pe ultima copertă

Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the second book in a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, it changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī’s most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī’s influence into the 21st century and beyond.
 
The book opens by briefly recounting al-Kāshī’s biography, so as to situate readers in the work’s rich historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī’s calculations of 2π and sin(1⁰) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. This translation contributes to the understanding and appreciation of al-Kāshī’s esteemed place in the scientific world. A side-by-side presentation of the source manuscript—one of the oldest known copies—and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text’s mathematical and historical basis.
 
Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world’s most neglected figures.

Caracteristici

Offers English readers the very first complete translation of Jamshid al-Kashi’s historic book on arithmetic
Provides new insights into the history of mathematics
Contains scans of the source manuscript next to the translation, which serve to highlight the meticulousness of the translation