During the time period before Archimedes, Aristotle had already effectively drawn a line between philosophy and mathematics. After his date philosophy is carried on without mathematical inspiration. There is an outbreak, known as the Golden Age of Greek mathematics, that just happens to occur in Alexandria during the period 300 to 200 B.C.E.. This period lasted only a short time however because philosophic faith in mathematics gradually disappeared. Philosophers were more inclined to use their intellect to come up with explanations based on simply theoretical assumptions and by faith (Ginsburg, 57). Since philosophy had been around long before mathematics was thought up, it remained the more publicly acceptable way to answer questions. By not linking the two, "they missed a grand opportunity to blow open the secrets of the universe to science, and they bequeathed to posterity, a heavy obstacle to the progress of science as a whole" (Ginsburg, 58). Archimedes works at this time are therefore described as magical and mysterious, rather than explained in the words of a modern day scientist.
“The great book of nature can be ready only by those who know the language in which it was written. And that language is mathematics.”(Galilei, Galileo). Math is all around us, when people think of math, they think of equation and calculation. However, math is arguably one of most crucial and fundamental elements that controls and keeps our live going. Athens Greece is the foundation of math, with the brilliant mind of Archimedes and Pythagoras emerge the ideas of Pi and the Pythagorean Theorem. These two simple concepts helped United States and the world to achieve ground breaking and revolutionary discoveries. Pythagorean Theorem can be simply used in the architectural sense, but it can also be used to pinpoint two reference points. This simple equation is what modern GPS system uses to pinpoint and calculate the designated route, NASA uses advancement mathematics and Pythagorean theorem to determine the ...
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.
Plato was fond of mathematics because of its idealized abstractions and its separation from the merely material. Nowadays, of course, the purest mathematics manages to be applied, sooner or later, to practical matters of science. In Plato's day this was not so, and the mathematician could well consider himself as dealing only with the loftiest form of pure thought and as having nothing to do with the gross and imperfect everyday world. And so above the doorway to the Academy was written, "Let no one ignorant of mathematics enter here."
Ever since the archaic period, the ancient Greece was a civilisation that lasted from 8 to 6 B.C. After that, it was the middle ages and the byzantine era. Greece was separated into different sections, classical Greece, was the one that flourished the most. Alexander the great led troops to Macedonia, allowing the hellenistic civilisation to be strong and powerful, stretching from central Asia to the end of the mediterranean sea.
The basic of mathematics was inherited by the Greeks and independent by the Greeks beg the major Greek progress in mathematics was from 300 BC to 200 AD. After this time progress continued in Islamic countries Unlike the Babylonians, the Egyptians did not develop fully their understanding of mathematics. Instead, they concerned themselves with practical applications of mathematics. Mathematics flourished in particular in Iran, Syria and India from 450B.C. Major progress in mathematics in Europe began again at the beginning of the 16th Century.
We don’t hear too much about Euler, but he is one of the most important and influential mathematicians ever, along with Archimedes and Newton. He created more published works than any other mathematician and wrote in a very understandable way. There is a fundamental part of geometry that all other mathematicians before him missed, but Euler discovered it and made the polyhedron formula: V-E+F=2
Historically speaking, ancient inventors of Greek origin, mathematicians such as Archimedes of Syracuse, and Antiphon the Sophist, were the first to discover the basic elements that translated into what we now understand and have formed into the mathematical branch called calculus. Archimedes used infinite sequences of triangular areas to calculate the area of a parabolic segment, as an example of summation of an infinite series. He also used the Method of Exhaustion, invented by Antiphon, to approximate the area of a circle, as an example of early integration.
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
Topic: Compare and contrast the contributions in science and math of ancient Greece, India, and China. Whose discoveries had more influence on us today?