Draw the picture of Aryabhatta, Charaka and Sushrut in history subject. write few Lines about their contribution in the field of science and technology in India during gupta period. Holiday Home work
Answers
Answer:#1 HE WROTE THE HUGELY INFLUENTIAL ARYABHATIYA
Aryabhatiya (510 CE)
Aryabhatiya (510 CE) – Aryabhatta
Although Aryabhatta wrote several treatises, Aryabhatiya is his only known surviving work and it is widely regarded as his magnum opus. It is primarily an astronomical treatise written in 121 verses. Its mathematical section contains 33 verses giving 66 mathematical rules. Aryabhatiya is divided into four chapters: Gitikapada (13 verses), Ganitapada (33 verses), Kalakriyapada (25 verses) and Golapada (50 verses). Among other things, Aryabhatiya contains a systematic treatment of the position of the planets in space; the nature of the Solar System; and the causes of eclipses of the Sun and the Moon. The mathematical part of the Aryabhatiya covers arithmetic, algebra, plane trigonometry and spherical trigonometry. It also contains continued fractions, quadratic equations, sums of power series and a table of sines. Aryabhatiya was a hugely influential text and it presents many ideas that are foundational to modern astronomy and mathematics.
#2 ARYABHATTA WAS THE FIRST KNOWN PERSON TO SOLVE DIOPHANTINE EQUATIONS
A Diophantine equation is an equation that has more than one unknown integer. A simple Diophantine equation would be ax + by = c. In this equation a, b and c are given integers; and x and y unknown integers. Aryabhatiya is the earliest known work which examines integer solutions to Diophantine equations of the form by = ax + c and by = ax – c. For this purpose, Aryabhata promptly introduced a new and popular method, known as the Kuttaka method. The word kuttaka means “to pulverise” and Aryabhata’s method was based around a recursive algorithm which involved writing the original factors in smaller numbers. Diophantine equations were considered very difficult to solve at the time and the Kuttaka method quickly became very popular. It is still the standard method of solving such equations.
#3 HE MADE MAJOR CONTRIBUTIONS TO TRIGONOMETRY AND ALGEBRA
Aryabhatiya provides simple solutions to complex mathematical problems of the time like summing the first n integers, the squares of these integers and also their cubes. Furthermore, Aryabhatta correctly calculated the areas of a triangle and of a circle. For example in Ganitapadam his writings can be translated as “for a triangle, the result of a perpendicular with the half-side is the area.” In trigonometry, Aryabhatta gave a table of sines calculating the approximate values at intervals of 90°/24 = 3° 45′. In order to do this he used a formula for sin(n + 1)x – sin nx in terms of sin nx and sin (n – 1)x. He was also the one to introduce the versine (versin = 1 – cosine) into trigonometry.
Formula by Aryabhata
Aryabhata’s formula to calculate the sum of first n integers, their squares and their cubes
Bronze bust of Aryabhatta
Bronze bust of Aryabhatta at UNESCO Headquarters, Paris
Explanation:
Please Give ME brian list I will Give 10 Thank You