application of derivatives and differentials. b. Integral Calculus - concerned with the determination‚ properties‚ and application of integrals. II. Brief History of Calculus Calculus was created by Isaac Newton‚ a British scientist‚ as well as Gottfried Leibniz‚ a self-taught German mathematician‚ in the 17th century. It has been long disputed who should take credit for inventing calculus first‚ but both independently made discoveries that led to what we know now as calculus. Newton discovered the inverse
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The cosmological arguments are inductive arguments based on an ‘a posteriori’ premise‚ which‚ despite having been introduced many years ago‚ continue to be prevalent today. An early example of the argument is within ‘Timaeus’‚ in which Plato proposed the idea that anything that has been created must be created by a cause. These arguments are intended to prove the existence of the God of Classical Theism by explaining that God must be the first cause of the universe; the being setting the world into
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from Blaise Pascal‚ who invented the first digital calculating machine in 1642. It performed only additions of numbers entered by dials and was intended to help Pascal’s father‚ who was a tax collector" (Buchsbaum 13). However‚ in 1671‚ Gottfried Wilhelm von Leibniz invented a computer that could not only add but‚ multiply. Multiplication was quite a step to be taken by a computer because until then‚ the only thing a computer could do was add. The computer multiplied by successive adding and shifting
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Blaise Pascal is also considered to be one of the founders of probability theory. Fermat also made contributions in the field of optics and provided a law on light travel and made wrote a few papers about calculus well before Isaac Newton and Gottfried Leibniz were actually born.Fermat’s most important work was done in the development of modern number theory which was one of his favorite areas in math. He is best remembered for his number theory‚ in particular for Fermat’s Last Theorem. This theorem
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HISTORY OF COMPUTERS Ancient era Suanpan (the number represented on this abacus is 6‚302‚715‚408) Devices have been used to aid computation for thousands of years‚ mostly using one-to-one correspondence with fingers. The earliest counting device was probably a form of tally stick. Later record keeping aids throughout the Fertile Crescent included calculi (clay spheres‚ cones‚ etc.) which represented counts of items‚ probably livestock or grains‚ sealed in hollow unbaked clay containers.[1][2]
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Unlike Equiano‚ these men dedicated their lives to scientific academia. Through scientific experimentation both Newton and Leibniz come to providential conclusions. Newton describes the basis for this connection in his book Principia Mathematica saying‚ “In experimental philosophy we are to look upon propositions collected by general induction from phenomena as accurately or
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Zach Cristol February 10‚ 13 Mr. Gnadinger Period 4 A Piece of Pi In this article‚ it starts out defining and looking into terms that most readers would know‚ hoping to get the reader comfortable and familiar with terms like perimeter‚ diameter‚ circumference‚ and pi. It states that pi is simply the ratio of a circle’s perimeter to its diameter symbolized by the geek letter for pi‚ π. Pi was originally the symbol for perimeter‚ and the Greek letter delta symbolized
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not only spans throughout the centuries but throughout the millenniums. The Babylonians‚ Egyptians‚ Archimedes of Syracuse‚ Leonardo of Pisa‚ Francois Viete‚ Leonhard Euler‚ Asian mathematicians such as Liu Hiu‚ Tsu Ch’ung-Chih‚ Arya Bhatta‚ Gottfried Leibniz‚ Isaac Newton‚ William Jones‚ John Machin. George Buffon and Srinivasa Ramanujan‚ have all played a role in the enriched past of this important mathematical symbol. The ancient Babylonians dates back to the 18th century BCE and reigned in
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‘It is an established opinion amongst men‚ that there are in the understanding certain innate principles; some primary notions‚ characters‚ as it were‚ stamped upon the mind of man‚ which the soul receives in its first being‚ and brings into the world with it.’ [1] Innate ideas are those principles that are found present in the mind at birth as opposed to those which arrive and develop throughout our lives as a result of sensory experience. Whether or not these innate principles exist‚ holds for
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During the 17th and 18th centuries‚ women were often seen as the inferior of the two sexes. They were expected to be educated only in how to take care of the house‚ how to cook‚ how to raise a child‚ and other common jobs that were thought to be suitable for a woman. However‚ as the Scientific Revolution occurred‚ more and more women began to take interest in studying other things such as chemistry‚ astronomy‚ and medicine. The attitudes and reactions towards the participation of women in these fields
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