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

Translation and Commentary

Nuh Aydin, Lakhdar Hammoudi, Ghada Bakbouk (Autoren)

Buch | Softcover

VIII, 195 Seiten

2021 | 1st ed. 2020
Springer International Publishing (Verlag)
978-3-030-61332-7 (ISBN)

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Jamshid al-Kashi's Miftah al-Hisab (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-Kashi'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-Kashi's most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kashi's influence into the 21st century and beyond. The book opens by briefly recounting al-Kashi's biography, so as to situate readers in the work's rich historical context. His impressivestatus 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-Kashi's calculations of 2pi and sin(1 ) 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-Kashi'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.

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

"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-Kashi." (Marc Moyon, zbMATH 1471.01002, 2021)

“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)

Erscheinungsdatum	05.12.2021
Zusatzinfo	VIII, 195 p. 120 illus., 89 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	210 x 279 mm
Gewicht	514 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
Themenwelt	Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik
Schlagworte	Jamshid al-Kashi • Khayyam's Triangle • Medieval Islamic Mathematics • Miftah al-Hasab • Sexagecimal Arithmetic
ISBN-10	3-030-61332-1 / 3030613321
ISBN-13	978-3-030-61332-7 / 9783030613327
Zustand	Neuware