Jamsh¿d al-K¿sh¿¿s Mift¿¿ al-¿isab (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-K¿sh¿¿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-K¿sh¿¿s most comprehensive work
with a wider audience this book will help establish a more complete history of mathematics
and extend al-K¿sh¿¿s influence into the 21st century and beyond.The book opens by briefly
recounting al-K¿sh¿¿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-K¿sh¿¿s calculations of 2¿ 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-K¿sh¿¿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.
