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Essay of history of pi
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My research demonstrates how a desire to calculate the area of circular regions for constructions purposes led ancient mathematicians to develop methods from which pi could be derived and why pi is still a major subject today even though the number of digits approximated has long since passed the point of practicality. I separated the research into two parts, one dedicated to the history of pi and another to analyzing a few of the prominent methods of approximating pi, by reading scholarly articles, books, and other resources. The analysis shows that the hunt for pi has persisted because of the challenge it presents to mathematicians and the hope they hold of uncovering other secrets of mathematics in the process. It appears that, while nothing …show more content…
I began the semester by speaking with my professor about how a project in his class would work. I have never done a project of any kind, let alone a paper, in a math class before and this was the first semester that there would be an honors math class so I could not receive help from any of my peers or Professor Kyser. He provided the class with a list of prompts that he continued to expand for a few weeks so that we could choose a topic that actually had something to do with calculus. There was a large variety of topics to choose, from relating calculus to warranties to finding a specific digit of pi. After much deliberation, I finally chose to research approximations methods of pi for a number of reasons: the topic seemed interesting, I could find a reasonable amount of information about it, and the possible significance or applications seemed to be the most prominent of all the topics. Next came the first researching stage where I performed my initial research into approximation methods of pi. Before I could start the research in earnest though, I required assistance from a librarian on how to navigate the various research databases. David Puller showed me how to navigate a few of the major databases using my specific topic,
Abstract: This paper gives an insight into the Mathematics used by the American Indians. The history of American Indians and how they incorporated mathematics into their lives is scarce. However from the information retrieved by Archeologists, we have an idea of the type of mathematics that was used by American Indians.
PCP is a recreational drug with hallucinogenic and dissociative properties. The drug was first produced as a potential agent for anesthesia but was later recognized as a dangerous substance of abuse that can significantly alter mental status. It is classified as a schedule ll controlled substance. PCP is currently illegal worldwide, including the United States. An article named, “PCP”, elaborates on the effects PCP has on your mental state:
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.
When I found out I qualified to be a candidate for the NJHS, I knew I had to take this chance. This group is made up of people who depict leadership, character, citizenship, academic success, and service and I would love to join. These characteristics wouldn't just be valuable for a candidate to have, but for everyone to have to exceed in life. If I were to be in the National Junior Honor Society, it would give me an opportunity to ameliorate my future and motivate me to do better.
The Ancient Indians had some mathematical achievements. One of their mathematical achievements, which was shown in the Vedic texts, is that they had names for every number up to one billion. The Vedic texts also show that they managed to calculate irrational numbers, such as√3, very accurately (Whitfield, Traditions 42)....
Italian mathematician Raphael Bombelli is credited with major contributions to both Algebra and geometrical proofs. Emerging from a difficult period in his family’s era, Bombelli became the key figure in understanding imaginary numbers while also taking credit with the invention of complex numbers. He challenged common mathematicians’ thinking and view of mathematics at the time until his works were well known and rightfully praised.
Pascal began his studies in 1635 with his reading of Euclid’s Elements and mastered them by age 12. This won the boy respect for his great talent in mathematics. Pascal in fact did not attend school; instead, Etienne brought him to lectures and mathematical gatherings at the “Academie Parsienne” nearly from its founding. At the early age of 16, Pascal began to play an active role in “Academie Parisienne”. There, Pascal became the principal disciple of Girard Desargues, a professor working there because he was the only one who appreciated his work in geometry. Pascal began work on conics and published several papers to do with geometry. In fact, in June 1639, Pascal has already made a significant discovery with his “mystical hexagram”.
Imagine a world in which all of life’s problems could all just go away at the click of a button. A world where every individual on the face of planet earth is being watched 24/7, therefore eliminating any possibility of a crime being committed. Imagine, if just for a moment, a world where everyone and everything are connected by the same network, which would in essence create a full and complete circle. This is the world that serves as the setting for Dave Eggers novel The Circle. The Circle is a novel about Mae, the young and enthusiastic protagonist, who gets a job at a company known as The Circle. The Circle is a revolutionary company that is creating all sorts of new and exciting technology that appear to benefit the human race as a whole.
From the beginning of time there have been many anomalies in humanity. With the advancement of techniques, tools, and knowledge, our understanding of the world aspires to clarify our curiosities. The most beneficial to factors throughout our history would include our knowledge of numbers. Numbers hold great possibilities and bring forth answers to the most complex systems of life. Our mathematics is incorporated into basic aspects of our daily lives, allowing us to unlock our potentials and give keys to uncover the hidden secrets in the universe.
He found areas and volumes of spheres, cylinders and plain shapes. He showed that the volume of a sphere is two-thirds of the volume of the smallest cylinder that can contain the sphere. Archimedes was so proud of this concept that he requested that a cylinder enclosed a sphere, with an explanation of this concept, be engraved on his grave. Archimedes also gave a method for approximating pi. He was able to estimate the value of pi between 3 10/71 and 3 1/7. Math wasn’t as sophisticated enough to find out the exact pi (3.14). Archimedes was finding square roots and he found a method based on the Greek myriad for representing numbers as large as 1 followed by 80 million billion zeros.
Ever wonder how scientists figure out how long it takes for the radiation from a nuclear weapon to decay? This dilemma can be solved by calculus, which helps determine the rate of decay of the radioactive material. Calculus can aid people in many everyday situations, such as deciding how much fencing is needed to encompass a designated area. Finding how gravity affects certain objects is how calculus aids people who study Physics. Mechanics find calculus useful to determine rates of flow of fluids in a car. Numerous developments in mathematics by Ancient Greeks to Europeans led to the discovery of integral calculus, which is still expanding. The first mathematicians came from Egypt, where they discovered the rule for the volume of a pyramid and approximation of the area of a circle. Later, Greeks made tremendous discoveries. Archimedes extended the method of inscribed and circumscribed figures by means of heuristic, which are rules that are specific to a given problem and can therefore help guide the search. These arguments involved parallel slices of figures and the laws of the lever, the idea of a surface as made up of lines. Finding areas and volumes of figures by using conic section (a circle, point, hyperbola, etc.) and weighing infinitely thin slices of figures, an idea used in integral calculus today was also a discovery of Archimedes. One of Archimedes's major crucial discoveries for integral calculus was a limit that allows the "slices" of a figure to be infinitely thin. Another Greek, Euclid, developed ideas supporting the theory of calculus, but the logic basis was not sustained since infinity and continuity weren't established yet (Boyer 47). His one mistake in finding a definite integral was that it is not found by the sums of an infinite number of points, lines, or surfaces but by the limit of an infinite sequence (Boyer 47). These early discoveries aided Newton and Leibniz in the development of calculus. In the 17th century, people from all over Europe made numerous mathematics discoveries in the integral calculus field. Johannes Kepler "anticipat(ed) results found… in the integral calculus" (Boyer 109) with his summations. For instance, in his Astronomia nova, he formed a summation similar to integral calculus dealing with sine and cosine. F. B. Cavalieri expanded on Johannes Kepler's work on measuring volumes. Also, he "investigate[d] areas under the curve" ("Calculus (mathematics)") with what he called "indivisible magnitudes.
Mythology & Modern Poems Comparison/Contrast Essay: Icarus Flight is a gift that everyone has dreamed of acquiring; however, what they do not know is that it is something that should not be taken lightly. The myth of Icarus demonstrates that even though Daedalus and his son were able to achieve flight, Daedalus ended up regretting it because of the sorrow that it left him. This myth may have inspired man’s dreams of being like a bird and taking flight into the vast blue skies.
The Scientific Revolution was sparked through Nicolaus Copernicusí unique use of mathematics. His methods developed from Greek astr...
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.