My Profile
Active Members
TodayLast 7 Days
more...
Awards & Gifts
Online Exams
Fresher Jobs
Our fresher job section is exclusively for fresh graduates! Find jobs for freshers in major Indian
cities including Bangalore, Chennai, Hyderabad, Pune or Kochi
Resources
Find educational articles, blogs, discussion threads and other resources.
Colleges
Find details about any college in India or search for courses.
|
ARYABHATTA I (AD 476)
Posted Date: 17 Jan 2008 Resource Type: Articles/Knowledge Sharing Category: General
|
Posted By: SajithkumarS Member Level: Diamond
Rating:  Points: 4
|
|
|
In the history of mathematics, Aryabhata occupies a special position not only
by his appearance at the head of the Hindu mathematical renaissance but by
the pattern and the tone set by him in mathematical investigations to be
emulated by the generations of mathematicians to follow. His mathematical
rules set forth in the highly condensed and sometimes cryptic form are given
in the Gitikapada and the Ganitapada sections of his Aryabhatiya, of which the
remaining chapters deal with astronomy. In his Gitikapada, Asyabhata gives
an account of an ingenious and peculiar alphabetical system invented by him by
expressing numbers on the decimal place-value model. Tables of astronomical
constants, trigonometrical sine tables and other numerical data are given in
this new system. The Ganitapada gives rules, among others,for the extraction
of square and cube roots by the arithmetical method, areas of triangles, tra-
pezium or any plane figure, circle, volumes of pyramid, sphere, value of pie
arithmetical progression, summation of series, interest, rule of three, frac-
tions, method of constructing sines by forming triangles and quadrilaterals in
the quadrant of acircle, and indeterminate equations of the first degree. Ar-
yabhata gavbe the most accurate value of pie as 3.1416 and used the formula
sin (n+1)alpha - sin n*alpha = sin n*alpha - sin (n-1)alpha - sin n*alpha/
225; for the construction of sine tables, a formula also used in the Surya-
siddhanta. Rule for the solution of indeterminate equations of the first de-
gree is found for the first time in his work although the germs of such equ-
ations are traceable to the sulba-sutras as already noticed. This opened a
favourite line of investigation among later Hindu mathematicians and developed
into a new branch by its own right. Aryabhata was the founder of a mathema-
tical-astronomical school. His commentators included, among others, Bhaskara
I, Nilakantha Somasutvan, Paramesvara, Somesvara, Suryadeva and Yellaya. The
first three, while following in the footsteps of their great master, also
made important contributions of their own.
|
Responses
|
No responses found. Be the first to respond and make money from revenue sharing program.
|
|
Watch TV Channels
|