Original sentence: Islamic mathematics, in turn, developed and expanded the mathematics known to these civilizations.The Hindu-Arabic numeral system and the rules for the use of its operations, in use throughout the world today, likely evolved over the course of the first millennium AD in India and were transmitted to the west via Islamic mathematics through the work of Muḥammad ibn Mūsā al-Khwārizmī.The study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction"
Edited sentence: 0-1000), in use throughout the world today.300-400) and the Hindu-Arabic numeral system(c.600), the modern definitions of sine and cosine(c.In the European tradition, the study of mathematics as a subject in its own right begins in the 6th century BC with the Pythagoreans, who coined the term "mathematics" from the ancient Greek μάθημα (mathema), meaning "subject of instruction".The Indian tradition introduced the number Zero(c.These mathematical concepts were transmitted to the Middle East, China, and Europe.. Islamic mathematics, in turn, developed and expanded the mathematics known to these civilizations