Transcript Brahmagupta Ppt

• Born in the city of Bhinmal , which is presently known as North West
Rajasthan…
• Born in 598, passed away in the mid to late 600’s.
• Known as the “Father Of Zero.”
• Accredited to inventing the concept of zero. Brahmagupta describes about
Zero as one of the numerals which stood for meaning nothing.
• Not only was he a mathematician, he was the leader of astronomical
research in ancient India.
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A debt minus zero is a debt.
A fortune minus zero is a fortune.
Zero minus zero is a zero.
A debt subtracted from zero is a fortune.
A fortune subtracted from zero is a debt.
The product of zero multiplied by a debt or fortune is zero.
The product of zero multiplied by zero is zero.
The product or quotient of two fortunes is one fortune.
The product or quotient of two debts is one fortune.
The product or quotient of a debt and a fortune is a debt.
The product or quotient of a fortune and a debt is a debt.
• In his theorem he explains different uses of the concept of zero. Which he
uses debt and fortunes, what we recall today negative and positive
numbers.
• For example a debt minus a zero is a debt, in other words a negative
number subtracted from a zero, the result will be a negative.
• The number zero, multiplied or divided by a negative or positive number,
will give you a zero as an result.
• Brahmagupta’s concept of zero, was not all the way
complete.
• How is that?
• He stated that anything divided or multiplied by zero will
equal zero.
• Not until five hundred years later, Bhaskara II proved
Brahmagupta wrong.
• Bhaskara II said that anything divided by the number zero
will not equal to zero but infinity instead.
• Not only did Brahmagupta invent the concept of zero, he also studied
quadratic equations..
• For instance, (x2+6x-8=0). This equation could have two possible solutions,
one as a negative number and the other result as a positive number.
• In mathematics today, we use the concept of the quadratic
equation in our everyday math lives. Classes such as PreCalculus, Algebra, and high level calculus courses all use this
formula.
• And as for the concept of zero. It helps us define the
absence of existence in our everyday lives.