Answer:
Advancements in mathematics, including the birth of algebra and new insights into geometry and trigonometry.
The origins of the scientific method, along with the development of chemistry, physics, and astronomy as discrete fields of inquiry.
Step-by-step explanation:
the full development of the decimal place-value system to include decimal fractions, the first systematized study of algebra (named for The Compendious Book on Calculation by Completion and Balancing by scholar Al-Khwarizmi), and advances in geometry and trigonometry.Science and technology advanced during the Islamic Golden Age for many reasons. First, the pursuit of knowledge was encouraged both by the Islamic religion and the Islamic government. Large libraries were built in cities throughout the Muslim empire helping technology and knowledge to be shared between scholars.
This was important because The Islamic Empire established across Persia, the Middle East, Central Asia, North Africa, Iberia and parts of India from the 8th Century onward's made significant contributions towards mathematics. They were able to draw on and fuse together the mathematical developments of both Greece and India.