Al-Kāshī's Miftāḥ al-Ḥisab, Volume I: Arithmetic
Springer International Publishing (Verlag)
978-3-030-14952-9 (ISBN)
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 book begins 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, 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 impressive status in the kingdom ofUlugh 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. The authenticity of 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 Miftah Translation.- Glossary.- References.
"This book would ... be very useful for all mathematics teachers who would like to integrate a historical perspective in their teaching: they will find didactic procedures, original presentations and new problems." (Marc Moyon, zbMATH 1437.01002, 2020)
| Erscheinungsdatum | 07.07.2020 |
|---|---|
| Zusatzinfo | VII, 241 p. 112 illus. in color. |
| Verlagsort | Cham |
| Sprache | englisch |
| Maße | 210 x 279 mm |
| Gewicht | 743 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| Mathematik / Informatik ► Mathematik ► Geschichte der Mathematik | |
| Schlagworte | History of Mathematics • Islamic history • Jamshid al-Kashi • Key to Arithmetic • Key to Arithmetic translation • Medieval Islamic Mathematics • Miftah al-Hisab • Sexagecimal Arithmetic • Square Root Approximations • Ulugh Beg |
| ISBN-10 | 3-030-14952-8 / 3030149528 |
| ISBN-13 | 978-3-030-14952-9 / 9783030149529 |
| Zustand | Neuware |
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