Biography
There is a place called Chalis Gaon about 80 miles away from Nasik. From there Vaudaji discovered a copper plaque. The identity of the ancestor of the second sculptor is as follows:
Tribikram Chakraborty
Bhaskarabhatta (received the title of Vidyapati by Bhojraj)
Govinda is omniscient
Mind
Maheshwaracharya
Bhaskaracharya (II)
Lakshmidhar
Chandev
From the list of names above, it is understood that Bhaskaracharya was born in a famous Pandit dynasty. The ancient name of Bijapur is Bijubir. Belongs to the province of Karnataka. Bhaskaracharya was born in 1114 AD in this Bijapur area near Sahy Parvat in Paschimghat. Father Maheshwaracharya was a Kannada Brahmin oracle Churamani of the Shandilya tribe.
Bhaskaracharya was extremely talented. He had an outstanding knowledge of mathematics and Vedas. In 1150, at the age of 36, he wrote a book on mathematics called Siddhanta Shiromani. The book was so high quality that it is still world famous today.
‘Siddhanta Shiromani’ has four chapters - (1) Lilavati, (2) Algebra, (3) Planetary Science and (4) Goladhya. Mathematics is discussed in the first two chapters and astronomy in the last two chapters.
Many associate him with Bhaskar-1 (700-80 AD). These are two different people. They were born at two different times. Bhaskara-1 was Aryabhata's favorite student.
The sculptor lived in the town of Bijjabir in Karnataka. The city was renamed Bijapur. The town is near the Tolerance Mountain in the Western Ghats. His father was Maheshwar Upadhyaya. This information is known from a copper plate. The plaque was discovered by Vaudaji at a place called Chalis Gaon, seventy miles from Nasik. Bhaskara's father was also a wise man.
Contribution
Siddhantashirmani
Bhaskara's greatest work is Siddhanta-Shirmani (1150). He wrote this book at the age of thirty-six. He also wrote the books 'Karan Kuhutal' and 'Sarvatobhadra'. The book 'Siddhanta-Shirmani' consists of four sections - Lilavati, Algebra, Planetary Mathematics and Goldhaya.
Lilavati
Lilavati is the name of a volume of Siddhanta Shirmani. There are several stories about the Lilavati piece. Lilavati and Algebra are math books. Lilavati was probably Bhaskar's daughter. It is believed that she became a widow at a very young age and moved to her father's house. Bhaskar gradually taught her arithmetic. That's when he wrote the book. Named after the girl. According to another, the sculptor had no daughters. His wife's name was Lilavati. He named the book in his memory. However, there are some addresses in various places in the book that many people think Lilavati is a fictional name. Somewhere he has said- 'Ai Bale Lilavati', somewhere he has addressed as Sakhe, Kante, Batse. Lilavati's style of writing is conversational. Teaching math while speaking. The word Lilavati means meritorious.
It is not known exactly why Bhaskaracharya named this chapter on arithmetic as Lilavati. However, there are some stories about this. One story is the name of the daughter of Lilavati II Bhaskaracharya. He got married at an early age. But for a long time her husband's house was not built. This incident hurt Bhaskaracharya. He named the arithmetic chapter 'Lilavati' to mourn and to comfort the child widowed girl. According to another, Bhaskaracharya composed the chapter on arithmetic to teach arithmetic to his daughter and named it 'Lilavati'. Again many say that the name of Bhaskaracharya's wife was Lilavati. They had no children. To forget that grief and to keep his wife's name forever memorable, he named Patiganitadhyaya 'Lilavati'. However, these doctrines do not seem to have any historical truth.
The word ‘Lilavati’ means ‘meritorious’. So many think that Bhaskaracharya used the name Lilavati to describe the quality of his book Siddhanta Shiromani. This type of adjective was used in recognized texts in ancient India.
There is another opinion about the name Lilavati. Another name of Saraswati is Lilavati. Bhaskaracharya took the name Lilavati for the purpose of worshiping Saraswati while composing the book.
Algebra:
The names of Brahmagupta, Sridhar and Padmanabha are mentioned in 'Lilavati'. Sridhar devised a way to solve the quadratic equation. We know about the algebra of Padmanabha from the writings of the first sculptor.
When the sculptor discussed algebra, he said what happens when a sum is divided by zero.
He is the one who says that if the negative amount is multiplied by the negative amount, the result will be positive. But multiplying the negative amount by the positive amount, the result will be negative.
Now we say 'X' is an unknown quantity. The sculptor thought that Devanagari should be marked by an unknown sign.
He changed the various quadratic equations and gave a simple shape and then said the solution. He also solved some special types of trigonometric equations.
Geometry and dimensionality:
The contribution of sculptor in geometry is significant.
He found the value of 'pi' to be 3.1418 with right triangles and equilateral polygons.
Without any instrument, the sculptor imagined a polygon with 364 arms!
He determined the volume and volume of the surface of the sphere. He divided the sphere into small pieces and added them later. It's a lot like Newton's Integral Calculus. But Newton came five hundred years later.
Astronomy:
The sculptor measured the motion of the planet using the principle of differential calculus.
He also measured the instantaneous motion of the planet.
Divided the time into finer amounts.
He uses an original version of Rolle's theorem-
If f (a) = f (b) = 0, then f ’(x) = 0 when a is less than x SPamp x is less than b
This is called differential calculus!
He divided the one second time into 34,000 parts and named it 'Error'.
Trigonometry:
In trigonometry, sine and cosine have a certain value for each of the various degree angles. There is a table for all these values.
The sculptor did the work of making this array. The sculptor extracted the sine cosine at an angle of 1 degree.
Physics:
The sculptor discusses the surface religion of the liquid.
In 1163 AD, at the age of 69, Bhaskaracharya Karan wrote a book called Kutrahal. This mathematician lived for more than seventy years. With his death, the golden age of ancient Indian mathematics came to an end.