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Mathematics is one of the 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 more possible to spell it out it in a couple of sentences. What I have to say now is likely to be words that emphasize its various aspects, as opposed to describe mathematics. In taking care of, mathematics is an art like painting and music. The vast majority of mathematicians perform it being an art. Using this perspective, the fact that a work done, a developed theory works in one of the ways or another other than mathematics does not concern them much. What matters in their mind is the depth of the work done, the novelty of the techniques used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is really a language. If the objective of science is the universe; If it is to know, rule and direct everything in the universe, we must manage 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 only a tool for 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 those that cope with mathematics tend to be more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The word mathematics, for initially, BC. It was used by the members of the Pythagorean school in the 550s. His entry in to the written literature, with Plato BC. It absolutely was in the 380s. The word meaning is “what must be learned”, that’s, information. In the years before these dates, instead of the word mathematics, words that mean geometry, comparable to it in geometry or old languages were used.
It is not possible to express anything definite about where and how mathematics started. If we take documents that aren’t centered on archaeological findings that want interpretation, but open enough to require interpretation, We could say that it started between 3000 and 2000 in Egypt and Mesopotamia. According to Heredotus (485-415 BC), mathematics were only available in Egypt. Everbody knows, 97% of the Egyptian lands are not suited to agriculture; It’s 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 caused by the Nile river annually, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after every flood, the “geometricists” of the state, that are responsible for these works, should arrived at take the mandatory measurements and supply the landowners just as much land as they had in the last year. Herodotus says that geometry has begun to emerge as a result of these measurements and calculations. A second opinion about the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics came to be in Egypt. However it was created out from the boredom of clergymen and priests, not the need for measurement-calculation caused by Nile floods. During those times, the only real intellectual class of countries such as Egypt was the priest class. Since the livelihood with this class is provided by people or the state, they’ve much time and energy to give intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that time, just as others invented games like chess, bridge, and go&hellip ;.Both these views may be true; priests desired to simplify the job of the geometric, or they discovered just how to calculate the areas of some geometric shapes such as for example triangular and trapezoidal to test that the distribution was fair, and in this way led to the birth of geometry.
We shall divide the written history of mathematics into five periods. The initial period will soon be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover a period of 1500-2000 years between 500s. The next period, BC. 500-M.S. It will cover an amount of 1000 years, called the Greek Mathematics period, between 500 years. The third term, M.S. It will cover a 1200-year period from the 500’s until the beginning 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 time scale we’re living in, dating back to the early 1900s, called age modern mathematics, could be the fifth period. I will endeavour to offer information about the development of mathematics because period, contributing mathematicians, the area of mathematics in social life and the fundamental options that come with mathematics because period.
We shall start the first 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 can find two main reasons for this. The foremost is that the ancient Egyptians wrote the writing on papyrus; The second reason is the 3 big fires of the Alexandria libraries, the last of those fires happened throughout the conquest of Egypt by 641 Muslims, the written documents disappeared. Papyrus is 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 publish text instead 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 common lifespan of a papyrus is 300 years; 300 years later, it is flaky as a result of moisture, heat and similar reasons. Up to now, two papyrus linked to mathematics appear to possess been hidden under exceptional circumstances. The main resources of our knowledge of Egyptian mathematics are those two papyri. The initial of the papyrus is just a 6-meter long and 35-cm wide papyrus called the Ahmes (or Rhind) papyrus. This papyrus, BC. You are a puree written in 2000s, BC. It is just a copy published 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 show math. In the introduction part, after a few exercises given to instruct operations with fractional numbers, 87 questions are given using their solutions. These are the kind of questions people can encounter in daily life, such as for instance sharing account, interest calculation, or finding the area of some geometric shapes. This is pretty much our 8th grade mathematics. The 2nd papyrus, called the Moscow papyrus and now in the Moscow museum, can be BC. It is just a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the sort of questions in the Ahmes papyrus, except for the two. Are you aware that other two questions, one of them could be the calculation of the quantity and section of the surface of the sphere part cut by way of a plane. One other may be the question of finding the amount of a pyramid cut with a plane. Both questions were solved correctly. Both of these questions are accepted while the pinnacle of Egyptian mathematics. The Egyptians seen that the location 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’s understood that Egyptian mathematics has remained at this level for 2000 years and has not made any significant progress.
B.C. 600s are the years once the Persians started initially to dominate the middle east. B.C. By the 550s, Persians are the sole rulers of the whole 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 that has been accepted as the start of Greek civilization. This date is the start 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 considered to be the father of Greek mathematics. Tales Milet (Aydın) was also born. It is famous he went to Egypt, stayed there for a time and learned geometry in Egypt. Whilst in Egypt, it is described in books where he calculates the height of the great pyramid by measuring along the shadow of the fantastic pyramid, multiplying this number by the ratio of its length to along the current shadow. After time for Tales Milet, he taught them geometry by forming friends around him to show what he learned. It’s assumed that abstract proof based on reasoning, which will be not centered on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the person who is known as the initial philosopher in human history. He was created 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 fully to Babylon by capturing the Persians during 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 show the folks 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 folks of this school called “mathematics” live together and they are connected together with oath. The 2nd group consists of students attending school. Pythagoras school is dependant on number cult. According to them, everything can be reduced to numbers; It has an unusually perfect harmony among numbers, and harmony is really a reflection of the divine harmony. Known numbers for that day are integers indicating the plurality such as for example 1,2,3,…; and kes, ¾,… are 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 right sides of a right triangle equals the square of the hypotenuse) put the Pythagorean school in a deep crisis. The discovery of irrational numbers is the first major crisis of mathematics. Many of the members of the Pythagorean school were massacred with a raid led by way of a big cyber named Cylon. Pythagoras saved his life, but after a couple of years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As can be understood from these details, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.