Aryabhata I (476–550 CE) was an Indian mathematician and astronomer of the ancient age. He thrived in the Gupta Era and wrote the Aryabhaya and the Arya-siddhanta.
- Born: 476 AD, Pataliputra
- Died: 550 AD, Pataliputra
- Influences: Surya Siddhanta
- Era: Gupta era
- Main interests: Mathematics, astronomy
Aryabhatta invented 0; he valued nothing, thus he valued everything.
„The invention of Indian trigonometry, based on sine rather than chord as used by the Greeks, as a requirement for astronomical computations, using his own succinct notation that conveys the whole sine table in a single couplet for simple recall. He proposed two approaches for the sine table, one of which is based on the fact that second order sine differences are proportional to sines themselves.”Aryabhatta
It is said that “He is the master who, after reaching the farthest beaches and digging the innermost depths of the sea of final understanding of math, kinematics, and spherics, handed over the three disciplines to the learned world.”Aryabhatta
“His work, which is referred to as Aryabhatiya, is divided into three parts, with a specialised notation of numbers being used in just the first of these sections. It is an alphabetical system in which the twenty-five consonants each stand for the numbers 1-25, while additional letters stand for the numbers 30, 40,…., 100, and so on. The remaining mathematical sections of Aryabhatiya are composed of rules but do not include any examples. In Southern India, a different alphabetic system was often used, in which the numbers 1-19 were represented by various consonants, etc.
“His most significant accomplishment in geometry was determining an appropriate value for π.“
According to Indian astronomy, the prime meridian is the vast circle of the Earth that passes through the north and south poles, Ujjayin, and Lak, where Lak was considered to be on the equator of the Earth.
“The area of a triangle is the result of a perpendicular with the half-side,”
„Add four to 100, multiply by eight, and then multiply by 62,000. This rule may be used to approximate the circumference of a circle with a diameter of 20,000. Thus, ((4 + 100) 8 + 62000)/20000 = 62832/20000 = 3.1416, which is exact to five significant numbers.”
„Aryabhatiya is a good text book on Astronomy because of its use of superior planetary parameters, improvements in astronomical procedures, and short manner of explanation. Aryahabata, in contrast to the geostationary hypothesis, believed that the earth rotated on its axis. His estimate of the duration of the earth’s sidereal rotation was 23 hours 56 minutes, which is close to the actual number of 4.1 seconds.”
„Aryabhatiya, an enhanced masterpiece, is the result of mature mind, which he composed at the age of 23. Civil days, unlike in the Aryabhata siddhanta, are counted from one dawn to the next, a practise that is still used by Hindu calendar adherents.”
„His popularity is mostly based on his Aryabhatiya, although it is obvious from the writings of Varahamihira (sixth century AD), Bhaskara I, and Brahmagupta (seventh century) that he produced the Aryabhata Siddhantha (voluminous) earlier. It’s also known as the Ardharatrika Siddhanta, since civil days were counted from one midnight to the next in it; Ramakrishna Aradya cited 34 poems about astronomical equipment from it.”
„For the sum of the squares and cubes of an initial segment of positive integers, he developed more elegant rules. The sum of the squares is the sixth component of a product of three values consisting of the number of terms, the number of terms plus one, and twice the number of terms plus one. The total of the cubes equals the square of the sum of the series.”