Jamshid al-Kashi: One of the Best Mathematicians in the Islamic World
Introduction:
“You can learn more from solving one problem in many different ways than you can from solving many different problems, each in only one way.”
Islamic civilization in the middle ages, like all of Europe, had a dichotomy between theoretical and practical mathematics. Practical mathematics was the common subject, “whereas theoretical and argumentative mathematics were reserved for specialists” (Abedljaouad, 2006, p. 629). Between the eighth and the fifteenth centuries, Islamic civilization produced a series of remarkable mathematicians. Among them was Ghiyath al-Din Jamshid Mas’ud al-Kashi. Following this dichotomy, al-Kashi designed his book for use by students who were looking to apply mathematics in their professions. The book does not contain any theoretical proof for any problem, but it does contain methods for solution and correctness verification, such as performing the opposite operation to check a result, and the method of casting out nines to check whether the product, quotient, or root is correct.
Objective of the study:
1. Life History of Ghiyath Ai-Din Jamshid Mas'ud Al-Kashi
2. Contribution in Mathematics
3. Multiples Algorithm and Multiple Solutions
4. Law of Cosines
5. Fixed Point Iteration Method
6. Calculation of PI
1. Life History of Jamshid al-Kashi
Al-Kashi was one of the best mathematicians in the Islamic world. He was born in 1380, in Kashan, in central Iran. This region was controlled by Tamurlane, better known as Timur, who was more interested in invading other areas than taking care of what he had. Due to this, al-Kashi lived in poverty during his childhood and the beginning years of his adulthood. He was born in Kashan which lies in a desert at the eastern foot of the Central Iranian Range. At the time that al-Kashi was growing up Timur (often known as Tamburlaine) was conquering large regions. He had proclaimed himself sovereign and restorer of the Mongol empire at Samarkand in 1370 and, in
“You can learn more from solving one problem in many different ways than you can from solving many different problems, each in only one way.”
Islamic civilization in the middle ages, like all of Europe, had a dichotomy between theoretical and practical mathematics. Practical mathematics was the common subject, “whereas theoretical and argumentative mathematics were reserved for specialists” (Abedljaouad, 2006, p. 629). Between the eighth and the fifteenth centuries, Islamic civilization produced a series of remarkable mathematicians. Among them was Ghiyath al-Din Jamshid Mas’ud al-Kashi. Following this dichotomy, al-Kashi designed his book for use by students who were looking to apply mathematics in their professions. The book does not contain any theoretical proof for any problem, but it does contain methods for solution and correctness verification, such as performing the opposite operation to check a result, and the method of casting out nines to check whether the product, quotient, or root is correct.
Objective of the study:
1. Life History of Ghiyath Ai-Din Jamshid Mas'ud Al-Kashi
2. Contribution in Mathematics
3. Multiples Algorithm and Multiple Solutions
4. Law of Cosines
5. Fixed Point Iteration Method
6. Calculation of PI
1. Life History of Jamshid al-Kashi
Al-Kashi was one of the best mathematicians in the Islamic world. He was born in 1380, in Kashan, in central Iran. This region was controlled by Tamurlane, better known as Timur, who was more interested in invading other areas than taking care of what he had. Due to this, al-Kashi lived in poverty during his childhood and the beginning years of his adulthood. He was born in Kashan which lies in a desert at the eastern foot of the Central Iranian Range. At the time that al-Kashi was growing up Timur (often known as Tamburlaine) was conquering large regions. He had proclaimed himself sovereign and restorer of the Mongol empire at Samarkand in 1370 and, in