Explanation: Al-Beruni, whose full name was Abu Rayhan Muhammad ibn Ahmad al-Biruni, was a Persian scholar who lived from 973 to 1048 CE. He was one of the most prominent figures of the Islamic Golden Age, known for his contributions to a wide range of fields including astronomy, mathematics, physics, and geography. Al-Beruni's work was characterized by a rigorous scientific approach and a deep understanding of the natural world.
Mahmud of Ghazni, who ruled the Ghaznavid Empire from 998 to 1030 CE, was a powerful ruler who expanded his empire into parts of India. He was known for his patronage of scholars and artists, and Al-Beruni was one of the scholars who benefited from this patronage. Mahmud of Ghazni provided Al-Beruni with the resources and support necessary to conduct his research and write his works.
Al-Beruni's contributions to astronomy were particularly significant. He made accurate measurements of the Earth's circumference and the distance between the Earth and the Moon. He also wrote extensively on the movements of celestial bodies and the principles of trigonometry. His work, "Kitab al-Tafhim li-Awail Sina'at al-Tanjim" (The Book of Instruction in the Elements of the Art of Astrology), is a comprehensive treatise on astronomy and mathematics.
In addition to his scientific work, Al-Beruni was also a historian and anthropologist. He wrote extensively on the culture and history of India, and his work, "Kitab al-Hind" (The Book of India), is a valuable source of information on Indian society and culture during the 11th century.
The patronage of Mahmud of Ghazni was crucial to Al-Beruni's work. It provided him with the resources and support necessary to conduct his research and write his works. Without this patronage, it is unlikely that Al-Beruni would have been able to make the significant contributions to astronomy and mathematics that he did.
In conclusion, Al-Beruni was the patronized astronomer and mathematician of Mahmud of Ghazni. His work was characterized by a rigorous scientific approach and a deep understanding of the natural world, and his contributions to astronomy and mathematics are still recognized today for their depth and accuracy.