Al-Kashi's Miftah al-Hisab, Volume III: Algebra: Translation and Commentary

Jamshīd al-Kāshīs Miftāḥ al-Ḥisab is a groundbreaking textbook that covers a wide range of topics in arithmetic, geometry, and algebra. This translation contributes to the understanding and appreciation of al-Kāshīs esteemed place in the scientific world and fills in a frequently overlooked time period and region.

Format: Paperback / softback
Length: 279 pages
Publication date: 24 March 2023
Publisher: Springer Nature Switzerland AG

Jamshīd al-Kāshīs Miftāḥ al-Ḥisab, known as the Key to Arithmetic, gained recognition in the mid-20th century, and its English translation is now available for the first time. This remarkable work is the third and final installment in a multi-volume set that presents al-Kāshīs groundbreaking textbook in its entirety to English audiences.

Upon its examination by modern researchers, Miftah challenged and rectified false assumptions about the historical development of certain mathematical topics. Authored as a comprehensive textbook for students studying mathematics, astronomy, accounting, engineering, and architecture, Miftah encompasses a wide range of subjects in arithmetic, geometry, and algebra. By making al-Kāshīs most comprehensive work accessible to a broader audience, this book aims to establish a more comprehensive history of mathematics and extend al-Kāshīs influence into the 21st century and beyond.

The book begins by providing a brief biography of al-Kāshīs, contextualizing his works within the rich historical context of the kingdom of Ulugh Beg. His exceptional status as a master calculator and astronomer is highlighted, with his calculations of 2π and sin(1⁰) being the most accurate for nearly two centuries. His law of cosines, still studied in schools today, showcases his profound contributions to mathematics. This translation contributes to a deeper understanding and appreciation of al-Kāshīs esteemed position in the scientific world.

Each page of the translation features a side-by-side presentation of the source manuscript, one of the oldest known copies, and the English translation. Extensive footnotes accompany the text, providing readers with a deeper exploration of the mathematical and historical foundations of the work.

Researchers and students of the history of mathematics will find this volume invaluable in expanding their knowledge and understanding of the field. The comprehensive nature of Miftah, coupled with its meticulous translation and informative footnotes, makes it a must-have resource for anyone interested in delving into the rich tapestry of mathematical advancements throughout history.

Weight: 715g
Dimension: 279 x 210 (mm)
ISBN-13: 9783030966171
Edition number: 1st ed. 2022