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Monday, February 14, 2011

Birthplace of Maths

The concept of 'zero'
Did you know that the ancient Hindus originated the concept 'zero'?
The concept of zero is referred to as shunya in the early Sanskrit texts and it is also explained in the Pingala’s Chandah Sutra (200 AD). In the Brahma Phuta Siddhanta of Brahmagupta (400-500 AD), the zero is lucidly explained. The Hindu genius Bhaskaracharya proved that x divided by 0 = 4 (infinity) and that infinity however divided remains infinity. This concept was recognized in Hindu theology millennia earlier. The earliest recorded date for an inscription of zero (inscribed on a copper plate) was found in Gujarat (585 – 586 AD). Later, zero appeared in Arabic books in 770 AD and from there it was carried to Europe in 800 AD.
Later on, it was again an Indian Scientist named, Aryabhatta who invented the digit zero.

Binary System of Number Representation

A Mathematician named Pingala developed a system of binary enumeration convertible to decimal numerals. He described the system in his book called Chandahshaastra. The system he described is quite similar to that of Leibnitz, who was born in the 17th century.
Did you know that Geometry, Trigonometry, Calculus and Algebra are studies which originated in India?

The Value of Pi

Did you know that the ratio of the circumference and the diameter of a circle known as Pi (a value of 3.141592657932…) was first calculated by Hindus?
The Sanskrit text, by the famous Hindu mathematician, Baudhayana in his Baudhayana Sulbha Sutra of the 6th century BC mentions this ratio as approximately equal to 3. The Hindu mathematician, Aryabhatta, in 499 AD worked out the value of Pi to the fourth decimal place as [3x (177/1250) = 3.1416]. In 825 AD one Arab mathematician Mohammad Ibna Musa said: This value has been given by the Hindus [Indians] (62832/20,000 = 3.1416).

Binary System of Number Representation

A Mathematician named Pingala developed a system of binary enumeration convertible to decimal numerals. He described the system in his book called Chandahshaastra. The system he described is quite similar to that of Leibnitz, who was born in the 17th century.
Baudhayana’s Theorem
Did you know that the so-called Pythagoras Theorem that the square of the hypotenuse of a right-angled triangle equals to the sum of the square of the other two sides was documented by the famed Hindu mathematician Baudhayana in his 6th century BC treatise called Baudhayana Sulba Sutra?
Baudhayana state
"The area produced by the diagonal of a rectangle is equal to the sum of area produced by it on two sides."


Bhaskaracharya’s Law of Gravity

In Surya Siddhanta, dated 400-500 AD, the ancient Hindu astronomer Bhaskaracharya states,
"Objects fall on the earth due to a force of attraction by the earth. Therefore, the earth, planets, constellations, moon, and sun are held in orbit due to this force."
Approximately 1200 years later (1687 AD), Sir Isaac Newton rediscovered this phenomenon and called it the Law of Gravity. 



Astronomy and Cosmology

Do you know Indian astronomers had mapped the sky 4000 years ago?

Earth is Round and Revolves Around the Sun

One thousand years before Copernicus (1543) published his theory of the revolution of the earth, the famous Hindu mathematician, Aryabhatta in the 5th century (400-500 AD) clearly stated this fact:

"Just as persons traveling on a boat feel that the trees on a bank are moving, people on earth feel that the sun is moving."
In Aryabhatta’s treatise (Aryabhateean) on this subject matter he clearly states that the earth is round; it rotates on its axis, orbits the sun and is suspended in space. Aryabhatta, in his treatise also explained that lunar and solar eclipses occur by the interplay of the shadows of the sun, the moon and the earth. India's first man made satellite was named Aryabhatta.
Copernicus published his theory of the revolution of the earth in 1543.

Time Taken for Earth to Orbit Sun

The famous Hindu mathematician, Bhaskaracharya, in his treatise Surya Siddhanta, calculated the time taken for the earth to orbit the sun to nine decimal places (365.258756484 days).
Bhaskaracharya rightly calculated the time taken by the earth to orbit the sun hundreds of years before the astronomer Smart. His calculations was - Time taken by earth to orbit the sun: ( 5th century ) 365.258756484 days.
Today’s accepted measurement is 365.2564 days. Therefore, assuming that today’s figures are correct, it means that Bhaskaracharya was off by only 0.0002%.

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