But the most important contribution Descartes made were his philosophical writings; Descartes, who was convinced that science and mathematics could be used to explain everything in nature, was the first to describe the physical universe in terms of matter and motion, seeing the universe as a giant mathematically designed engine. Descartes wrote three important texts: Discourse on the Method of Rightly Conducting the Reason and Seeking Truth in the Sciences, Meditations on First Philosophy, and Principles of Philosophy. René Descartes had always been a frail individual, and he would usually spend most of his mornings in bed, where he did most of his thinking, fresh from dreams in which he often had his revelations. In his later years, Descartes had to relocate to Sweden to tutor Queen Christina in philosophy.
Other examples that they recorded included $13^2=5^2+12^2$ and even $8161^2=4961^2+6480^2$. One of the great intellectual masterpieces of the ancient Greek world was Diophantus' {\sl Arithmetic}. This work, available in Latin translation in the seveteenth century, was an important inspiration for the scientific renaissance of that period, read by Fermat, Descartes, Newton and others. Fermat, a jurist from Toulouse, studied mathematics as a hobby. He didn't formally publish his work but rather disseminated his ideas in letters, challenging
The History of the Calculus The Calculus, being a difficult subject requires much more than the intuition and genius of one man. It took the work and ideas of many great men to establish the advanced concepts now known as calculus. The history of the Calculus can be traced back to c. 1820 BC to the Egyptian Moscow papyrus, in which an Egyptian successfully calculated the volume of a pyramidal frustum. [1][2] Calculating volumes and areas, the basic function of integral calculus, can be traced back from the school of Greek mathematics, Eudoxus (c. 408−355 BC) used the method of exhaustion, which prefigures the concept of the limit, to calculate areas and volumes while Archimedes (c. 287−212 BC) developed this idea further, inventing heuristics which resemble integral calculus. [3] The method of exhaustion was later used in China by Liu Hui in the 3rd century AD in order to find the area of a circle.
Outside of philosophy, Pythagoras is remembered for creating a mathematics rule called, “Pythagorean Theorem”, which, in fact, was discovered by the Babylonians much earlier. (Moore, Philosophy: the power of ideas, 2010, p. 25) Pythagoras created a school to develop
570 BC—ca. 495 BC), who by tradition is credited with its proof,[2][3] although it is often argued that knowledge of the theorem predates him. There is evidence that Babylonian mathematicians understood the formula, although there is little surviving evidence that they used it in a mathematical framework. [4][5] The theorem has numerous proofs, possibly the most of any mathematical theorem. These are very diverse, including both geometric proofs and algebraic proofs, with some dating back thousands of years.
Mysteries of Giza There is little argument as to why the great pyramids of ancient Egypt were built. The writing is on the wall, literally. Within the burial chambers and on other sacred treasures within these tombs is a story told that is so universally familiar, people thousands of years later can understand most of it. The great mystery lies however, in how the Egyptians built their great pyramids. The earliest and greatest of the pyramids at Giza is Khufu’s pyramid, which stands 479 feet high and has a base of 755 square feet.
Beginning with 1st century AD, atleast four different cultures had the stab of it. Early on, Greek artisans in Alexandria took up the challenge inspired by the theories of Aristotle. The Greeks saw the universe to be composed of four basic elements- earth, water, air and fire. These were the primary most general qualities by means of which amorphous and most quantitative substances of all bodies reveal themselves in differentiated forms. Because the art of ‘Khemeia’ seemed
The base of the pyramid is 568,500 square feet and the length of each side is 745 feet. The height of the pyramid is 449 feet (Orcutt). The Great Pyramid was constructed using mathematics is acceptable, because of the evidences of the early mathematics found in Egypt, such as Rhind Papyrus. In my opinion and according to my knowledge of Egyptian mathematics, I believe that the theories about the people who built the pyramid cannot be true, since there are no clear evidences of the mathematics that was used to build the Great Pyramid. One of the theories includes the use of PHI, Golden Mean which is equal to 1.618, in the Great Pyramid (Orcutt).
Why? Because it seems like math is one of the sciences having the most authoritativeness. 2+2 = 4 is not an absolute statement, but rather coherent, as an argument would be true if it was logically put together. An example of this in mathematics could be geometry, as this area uses the assets of space. In geometry the famous Greek mathematician Euclid has made a model of reasoning, with its three key elements: axioms, deductive reasoning and theorems.
Each side is perfectly aligned, facing each direction, (north, east, south, and west), only offset by a fraction of a degree. Along with that, each side of the pyramids are almost perfectly congruent, meaning that advanced mathematics had to of been used in the creation of this enigma. They say this type of perfectly accurate construction would have been close to impossible for such a primitive race. But if the ancient Egyptians didn’t piece this extravagant puzzle together, than who did? We do know one thing for certain, that the pyramids were built around the 23rd century BC.