Mathematics Is That Of Pi ( ÃŽÂ ) - 1728 Words

PI (Ï€) One of the oldest and most commonly known and used concepts in mathematics is that of Pi (Ï€). In the earliest of know human civilizations, people realized the importance of finding the exact value of Ï€ for practical reasons. Even by todays standards, we still only need to know the exact value of Ï€ to a few decimal place values, although that hasn’t stopped mathematicians from pursuing a more accurate representation for its value throughout time. The earliest know approximations for the value of Ï€ have been identified on ancient clay tablets, dated 1900-1650 BC, from the Babylonian civilization which states the value of Ï€ as (25/8) = 3.125. and from the Egyptian civilization, from the Rhind Papyrus(1650BC), which approximates the value of Ï€ to be (16/9)^2 = 3.1605. Although these earliest of approximations have been proven to be within 1 percent of todays actual know value, it marks the point of obsession for mathematicians to find an exact value for Ï€. The next advancement in determining a more accurate value didn’t occur for more than another 1000 years. Around 250 BC, the Greek mathematician Archimedes developed an approach using circumscribed and inscribed polygons to prove that the value of pi to be between (223/71) Ï€ (22/7) (3.1408 Ï€ 3.1429). This geometrical approach was predominantly used by mathematicians for the next 1000 years, were in 1630 an exact value of Ï€ was found to 39 decimal palaces. Sometime around the year 1425, a new approachShow MoreRelatedPi And The Real World995 Words   |  4 PagesAbstract Pi has a rich history and numerous applications to go along with it. Pi is used in mathematics, science and engineering. Pi has been traced back to over 1600 BC in Egypt, and today it is celebrated world – wide. Students from elementary school through college know of pi and its multiple applications. It has been used in physics, as well as in geometry. Students will even use it in trigonometry when they are doing sine waves. Students need to see how necessary pi is in mathematics and in theRead MoreA Study On Zu Chongzhi1582 Words   |  7 PagesZu Chongzhi is a famous Chinese mathematician and Astronomer lived in 429-501 A.D., Zu had do various of mathematics in his life, he improve Chinese mathematical, and made China become a powerful mathematical countries in 1000 years ago. Zu has many contributions in Chinese mathematical and astronomy such as 7 digits of PI, zhuishu(Method of Interpolation, The definition of zhui is method of ancient Chinese astronomy, shu is book), a nd the Daming Calender. but Zu is live in a war age that causedRead MoreArchimedes Of Syracuse And The Current State Of Computing1250 Words   |  5 PagesAs long as the field of mathematics has existed, people have been searching for shortcuts to eliminate the monotony and difficulty of calculating figures accurately. As a result, human beings began to develop new technologies to simplify this process. In ancient history, the abacus was a useful device in calculating simple numbers requiring addition and subtraction. In the seventeenth century, the first mechanical calculators were able to perform multiplication and division through repetitions ofRead MoreMathematics Is That Of Pi ( ÃŽ   )2249 Words   |  9 Pagescommonly known and used concepts in mathematics is that of Pi (Ï€). In the earliest of know human civilizations, people realized the importance of finding the exact value of Ï€ for practical reasons. Even by todays standards, we still only need to know the exact value of Ï€ to a few decimal place values, although that hasn’t stopped mathematicians from pursuing a more accurate representation for its value throughout time. The earliest know approximations for the value of Ï€ have been identified on ancientRead MoreWilliam Jones and Pi Essay1894 Words   |  8 Pagescreated, and was the first to use, pi. William was born on a farm in Anglesey, then later moved to Llanbabo on Anglesey, then moved again after the death of Williams father. He attended a charity school at Llanfechell. There his mathematical talents were spotted by the local landowner who arranged for him to be given a job in London. His job was in a merchant’s counting house. This job had Jones serving at sea on a voyage to the West Indies. He taught mathematics and navigation on board ships betweenRead MoreA Short Note On Internal And Internal Assessment1596 Words   |  7 PagesIB Mathematics HL Internal Assessment Judy Taylor IB HL Mathematics Word Count: 1311 â€Æ' Table of Contents Abstract†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Page 3 Introduction†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦..Page 4 Exploration†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦...Page 5 Applications†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦..Page 8 Conclusion†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦....Page 9 References†¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Ã¢â‚¬ ¦Page 11 â€Æ' Abstract The sine integral, written as Si (x), is important factor in signal processing as it causes overshootRead MoreThe Contribution Of Leonhard Euler1712 Words   |  7 Pageswas a fascinating and talented man who made significant contributions in mathematics, physics, engineering and astronomy (Stockstill). The incredible amount of work he produced in mathematics has made his name famous around the globe. He has produced more work than any other professional in mathematics (Australian Mathematics). His work in calculus, graph theory, and mathematical notation has greatly influenced mathematics (Euler Website). Euler was a great 18th-century mathematician but also workedRead MoreThe Great Pyramid Of Giza859 Words   |  4 Pagesconstants in created mathematics which are: Ï€, ÃŽ ¦, and e. The slope angle of 51 °51’ also 51.85 ° in decimal form, comes from measurements taken off the remaining casing stones. There is also a debate as to the geometry used in the design of th e Great Pyramid of Giza in Egypt. There is evidence, however, that the design of the pyramid may use these foundations of mathematics and geometry. Here is more evidence of how the design of the pyramid may embody these foundations of mathematics and geometry: -PhiRead MoreThe Ancient Inventions Of The Future994 Words   |  4 Pagesin geometry. Or Aristotle, who mad giant leaps in astronomy (also made a theory that the earth was round in about 384 B. C.). therefore, a new era of philosophy was inaugurated and the course of western civilization was decisively shaped. Modern mathematics, Medicine, and cartography was all modernized during this age of philosophy. Without the Greeks, present ideals and the way we live our life would not be the same. So it is important that we know what the Greeks invented and their power over ourRead MoreJohn Wallis3283 Words   |  14 Pagesallowing themselves to discuss any other outside topics such as politics (OConnor amp; Robertson, 2002). Due to these weekly meetings, Wallis read and mastered Oughtred’s Clavis Mathematicae in only a couple of weeks in 1647. â€Å"Quickly his love of mathematics, which he had as a student but which had never found the opportunity to flourish, now came pouring out† (OConnor amp; Robertson, 2002). Shortly after mastering Oughtred’s book, Wallis wrote his own book, Treatise of Angular Sections, but the book