Maths and Art Collide = Parabolic curves | Math

Maths and Art Collide = Parabolic curves

Maths + Art = Parabolic Curves. Using art to explain maths concepts is also a great way to encourage creative people to love maths too, as well as the other way round. I love how you can make curves using straight lines

MATHEMATIC HISTORY

Mathematics is one of many oldest sciences in human history. In ancient times, Mathematics was defined while the science of numbers and shapes. Mathematics, like other branches of science, has evolved as time passes; it is no further possible to describe it in a few sentences. What I have to state now is likely to be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is a skill like painting and music. A large proportion of mathematicians perform it as an art. From this viewpoint, the fact that a work done, a developed theory works in one way or another apart from mathematics doesn’t concern them much. What matters in their mind could be the depth of the job done, the novelty of the strategy used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is a language. If the goal of science may be the universe; When it is to know, rule and direct everything in the universe, we should be able to see the book of nature. The book of nature is written in the language of mathematics, with the highly cited words of Galile; its letters are shapes of geometry. In order to understand and interpret them, we have to know the language of mathematics. In another aspect, mathematics is definitely an intellectual game like chess.

Some mathematicians also notice it as a game. Mathematics is just a tool because of its user. After entering it, we understand and perceive what mathematics is within our knowledge and in the direction of our interest. Mathematics is now far beyond the dimensions any human can rule. Therefore, I do not believe that those that handle mathematics tend to be more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The word mathematics, for the very first time, BC. It had been used by the members of the Pythagorean school in the 550s. His entry in to the written literature, with Plato BC. It had been in the 380s. The word meaning is “what needs to be learned”, that’s, information. In the years before these dates, instead of the word mathematics, words which means that geometry, comparable to it in geometry or old languages ​​were used.

It’s difficult to express anything definite about where and how mathematics started. When we take documents that are not centered on archaeological findings that want interpretation, but open enough to require interpretation, We are able to say that it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with Heredotus (485-415 BC), mathematics started in Egypt. Everbody knows, 97% of the Egyptian lands aren’t suited to agriculture; It is the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are incredibly valuable. However, at the conclusion of the floods brought on by the Nile river every year, the boundaries of the landowners’lands become obscure. Considering that the landowners also pay taxes in proportion to the land they own, after every flood, the “geometricists” of the state, who’re in charge of these works, should arrive at take the necessary measurements and supply the landowners the maximum amount of land as they’d in the earlier year. Herodotus says that geometry has begun to emerge as a result of these measurements and calculations. An additional opinion about the birth of mathematics is the main one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics was created in Egypt. Nonetheless it was created out of the boredom of clergymen and priests, not the requirement for measurement-calculation due to Nile floods. During those times, the only real intellectual class of countries such as Egypt was the priest class. Because the livelihood of this class is supplied by the general public or their state, they’ve much time and energy to give to intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that point, in the same way others invented games like chess, bridge, and go&hellip ;.Both of these views may be true; priests desired to simplify the work of the geometric, or they learned just how to calculate the aspects of some geometric shapes such as for instance triangular and trapezoidal to check that the distribution was fair, and in this way resulted in the birth of geometry.

We will divide the written history of mathematics into five periods. The initial period is likely to be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover a period of 1500-2000 years between 500s. The second period, BC. 500-M.S. It will cover a period of 1000 years, known as the Greek Mathematics period, between 500 years. The 3rd term, M.S. It will cover a 1200-year period from the 500’s until the start of calculus and will mainly cover European mathematics in the Hind, Islam and Renaissance era. The fourth semester will cover the classical mathematics era, called the golden age of mathematics, dating from 1700-1900. The period we’re living in, dating back to the early 1900s, called the age of modern mathematics, would be the fifth period. I will attempt to give details about the development of mathematics in that period, contributing mathematicians, the area of mathematics in social life and the essential features of mathematics because period.

We will start the initial semester with Egyptian mathematics. Written documents about ancient Egyptian mathematics and generally Egyptian history – I don’t mean the remains of archaeological works – are almost nonexistent. You will find two main reasons for this. The first is that the ancient Egyptians wrote the writing on papyrus; The second reason is the 3 big fires of the Alexandria libraries, the past of these fires happened throughout the conquest of Egypt by 641 Muslims, the written documents disappeared. Papyrus may be the leaves of a reddish, reed type plant growing in the Nile delta, typically 15-25 meters long and 30-50 inches wide. These leaves were used to create text in place of paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages ​​such as “Paper”, “papier” are produced from the term papyrus. The average lifespan of a papyrus is 300 years; 300 years later, it is flaky because of moisture, heat and similar reasons. Up to now, two papyrus linked to mathematics appear to have been hidden under exceptional circumstances. The key sourced elements of our knowledge of Egyptian mathematics are these two papyri. The initial of these papyrus is a 6-meter long and 35-cm wide papyrus called the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is just a copy compiled by a “mathematician” named Ahmes in the 1650s. This papyrus was bought by the Irish antiquarian H. Rhind in the 1850s, now in the British museum. This papyrus is a guide written to instruct math. In the introduction part, following a few exercises given to show operations with fractional numbers, 87 questions are given using their solutions. These are the type of questions people can encounter in lifestyle, such as for instance sharing account, interest calculation, or finding the area of ​​some geometric shapes. This really is pretty much our 8th grade mathematics. The next papyrus, referred to as the Moscow papyrus and now in the Moscow museum, is also BC. It is a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the sort of questions in the Ahmes papyrus, aside from the two. When it comes to other two questions, one of them is the calculation of the volume and area of ​​the surface of the sphere part cut with a plane. Another is the question of finding the quantity of a pyramid cut with a plane. Both questions were solved correctly. Those two questions are accepted as the pinnacle of Egyptian mathematics. The Egyptians seen that the area of ​​the circle was proportional to its diameter and found the amount of pi to be 4x (8/9) squared, ie 256/81 = 3.16. It is understood that Egyptian mathematics has remained only at that level for 2000 years and hasn’t made any significant progress.

B.C. 600s will be the years when the Persians started to dominate the middle east. B.C. By the 550s, Persians are the sole rulers of the entire middle east, including Anatolia and Egypt. The Persians organize three trips to Greece between 500-480 BC; They captured Athens in 480, but burned it, per year later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 is the date which was accepted as the beginning of Greek civilization. This date is the beginning of a really bright period in science, art and literature. Greek mathematics actually started earlier than this period. Two people, Tales (624-547 BC) and Pythagoras (569-475 BC), are regarded as being the daddy of Greek mathematics. Tales Milet (Aydın) was also born. It is known that he went along to Egypt, stayed there for a time and learned geometry in Egypt. While in Egypt, it’s described in books where he calculates the height of the truly amazing pyramid by measuring the size of the shadow of the truly amazing pyramid, multiplying this number by the ratio of its length to the length of the existing shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to instruct what he learned. It is assumed that abstract proof based on reasoning, which can be not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the person who is recognized as the initial philosopher in human history. He came to be on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for a time, visited Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken up to Babylon by capturing the Persians throughout the occupation of Egypt by the Persians. it is known. During his 5 years in Babylon, he learned mathematics, music and religious information, and after returning to Samos, he created a school and tried to instruct the people he gathered around. For political reasons, BC. He left 518 Samos, settled in southern Italy, in the city of Crotone, where he created a semi-mystical-semi-scientific, cult-like school. The senior people of this school called “mathematics” live together and they’re connected to one another with oath. The second group consists of students attending school. Pythagoras school is founded on number cult. According to them, everything could be reduced to numbers; It comes with an unusually perfect harmony among numbers, and harmony is just a reflection of the divine harmony. Known numbers for that day are integers indicating the plurality such as for instance 1,2,3,…; and kes, ¾,… will be the fractional numbers that indicate the ratio of the part to the whole. The emergence of irrational numbers with the theorem referred to as the Pythagorean theorem (the square of the proper sides of a right triangle equals the square of the hypotenuse) put the Pythagorean school in a heavy crisis. The discovery of irrational numbers is the initial major crisis of mathematics. Many of the members of the Pythagorean school were massacred by way of a raid led by way of a big cyber named Cylon. Pythagoras saved his life, but after a few years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As can be understood from this information, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.

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