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Pythagoras was born around 569 B.C. in Samos, Ionia, and died around 475 B.C. Pythagoras was a Greek philosopher, and mathematician. Pythagoras also developed the Pythagorean brotherhood. This was religious in nature, however it formulated principals that influenced the thoughts of Plato and Aristotle, and contributed to the development of mathematics and Western rational philosophy. Pythagoras not only developed the theorem of A2+B2=C2, but he was also the first to create the music scale of today. Unfortunately none of Pythagoras’s writings from this development time have survived to present day.
In the brotherhood that Pythagoras created, he was the head of the society with an inner circle of followers known as …show more content…
The outer circles of the society were known as the akousmatics, and they lived in their own houses, only coming to the society during the day. They were allowed their own possessions, and were not required to be vegetarians.
Nothing is actually known of Pythagoras’s actual work. The school that Pythagoras attended practiced secrecy and communalism, making it hard to distinguish between the work of Pythagoras himself, and the work of his followers. Pythagoras’s school made outstanding contributions to mathematics, and this makes it possible to be fairly certain about some of Pythagoras’s mathematical contributions. Pythagoras was mainly interested in the principals of mathematics, the concept of numbers, the concept of a triangle or other mathematical figure, and the abstract idea of a proof.
The Pythagorean having been brought up in the study of mathematics, thought that things are numbers, and that the whole cosmos is a scale and a number. This generalization stemmed from Pythagoras’s observations in music, mathematics, and astronomy. Pythagoras noticed that vibrating strings produced harmonious tones when the ratios of the lengths of the strings are whole numbers, and that the ratios could be extended to other instruments. Actually Pythagoras made remarkable contributions to the mathematical theory of music. Pythagoras used his musical talent of playing the lyre as means to help those who were ill.
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Answer:
leonhard Euler is born on 1707. and died on 1783. he was a pioneering Swiss mathematician. and also physicist.he made important discoveries in field as diverse as infinitesimal calculus and graph theory. he contributed many important ideas of differential equations. the various methods of reduction of order, the notion of an integrating factor and it is often called an euler multiplier.
considering your equations with constant coefficients, second order differential equations with variable coefficients, power series solutions of differential equations. he prove that if (2^p-1) is a prime number then 2^p-1(2^p-1) is a perfect number , with a prime number p.
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