What is Diophantus number theory?
Diophantus was the first Greek mathematician who recognized fractions as numbers; thus he allowed positive rational numbers for the coefficients and solutions. In modern use, Diophantine equations are usually algebraic equations with integer coefficients, for which integer solutions are sought.
Who is Diophantus and what did he do?
Diophantus, often known as the ‘father of algebra’, is best known for his Arithmetica, a work on the solution of algebraic equations and on the theory of numbers.
How old is Diophantus?
Diophantus lived to the age of 84 years.
What is his contribution to mathematics Diophantus?
Diophantus is known as the father of algebra. Roughly five centuries after Euclid’s era, he solved hundreds of algebraic equations in his great work Arithmetica, and was the first person to use algebraic notation and symbolism. Today we usually indicate the unknown quantity in algebraic equations with the letter x.
Who invented 1 number?
The glyph used today in the Western world to represent the number 1, a vertical line, often with a serif at the top and sometimes a short horizontal line at the bottom, traces its roots back to the Brahmic script of ancient India, where it was a simple vertical line.
What is Diophantus best known for?
Diophantus, byname Diophantus of Alexandria, (flourished c. ce 250), Greek mathematician, famous for his work in algebra. What little is known of Diophantus’s life is circumstantial.
Where does Diophantus’life come from?
Much of our knowledge of the life of Diophantus is derived from a 5th-century Greek anthology of number games and puzzles created by Metrodorus. One of the problems (sometimes called his epitaph) states: ‘Here lies Diophantus,’ the wonder behold.
What did Diophantus say about square root solutions?
Diophantus was always satisfied with a rational solution and did not require a whole number which means he accepted fractions as solutions to his problems. Diophantus considered negative or irrational square root solutions “useless”, “meaningless”, and even “absurd”.
How does Diophantus use false position?
Often Diophantus assumes an incorrect value for an unknown, then uses the incorrect equation generated by this value to adjust the assumed value and arrive at the correct answer. This technique, known as false position, was commonly used by the Egyptians to solve linear equations, and is a natural