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Mathematics is one of many oldest sciences in human history. In ancient times, Mathematics was defined as the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it’s no more possible to explain it in a couple of sentences. What I’ve 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 form like painting and music. The vast majority of mathematicians perform it as an art. Out of this viewpoint, the fact that a work done, a developed theory works in one way or another apart from mathematics does not concern them much. What matters to them could be the depth of the work done, the novelty of the methods used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is really a language. If the goal of science is the universe; If it’s 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. To be able to understand and interpret them, we must know the language of mathematics. In another aspect, mathematics is definitely an intellectual game like chess.
Some mathematicians also see it as a game. Mathematics is merely a tool for the 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 don’t genuinely believe that those that deal with mathematics are far more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The phrase mathematics, for the very first time, BC. It had been used by the members of the Pythagorean school in the 550s. His entry to the written literature, with Plato BC. It absolutely was in the 380s. The term meaning is “what needs to be learned”, that’s, information. In the years before these dates, rather than the word mathematics, words that mean geometry, equivalent to it in geometry or old languages were used.
It’s not possible to state anything definite about where and how mathematics started. If we take documents which are not based on archaeological findings that require interpretation, but open enough to require interpretation, We can say that it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with Heredotus (485-415 BC), mathematics started in Egypt. As you know, 97% of the Egyptian lands are not ideal for agriculture; It is the 3% portion that offers life to Egypt and forms the Nile delta. Therefore, these lands are really valuable. However, at the conclusion of the floods brought on by the Nile river annually, the boundaries of the landowners’lands become obscure. Since the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of their state, who’re responsible for these works, should arrive at take the necessary measurements and supply the landowners the maximum amount of land as they’d in the last year. Herodotus says that geometry has begun to emerge consequently of these measurements and calculations. A second opinion about the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics was created in Egypt. However it came to be out from the boredom of clergymen and priests, not the requirement for measurement-calculation brought on by Nile floods. During those times, the only real intellectual class of countries such as for instance Egypt was the priest class. Considering that the livelihood with this class is provided by the public or the state, they have much time for you to share with intellectual pursuits. To help 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 ;.These two views might be true; priests desired to simplify the task of the geometric, or they found out just how to calculate the areas of some geometric shapes such as for instance triangular and trapezoidal to check that the distribution was fair, and in this way generated the birth of geometry.
We will divide the written history of mathematics into five periods. The first period is likely to be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover an amount of 1500-2000 years between 500s. The second period, BC. 500-M.S. It will cover an amount of 1000 years, known as the Greek Mathematics period, between 500 years. The next 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, referred to as the golden age of mathematics, dating from 1700-1900. The time we are surviving in, dating back again to the early 1900s, called the age of modern mathematics, will be the fifth period. I will attempt to provide information about the development of mathematics in that period, contributing mathematicians, the spot of mathematics in social life and the basic top features of mathematics in that period.
We will start the very 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. There are two significant reasons for this. The foremost is that the ancient Egyptians wrote the writing on papyrus; The second reason could be the 3 big fires of the Alexandria libraries, the final of the fires happened through 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, normally 15-25 meters long and 30-50 inches wide. These leaves were used to publish 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 word papyrus. The typical lifespan of a papyrus is 300 years; 300 years later, it is flaky due to moisture, heat and similar reasons. Up to now, two papyrus linked to mathematics appear to possess been hidden under exceptional circumstances. The key sources of our knowledge of Egyptian mathematics are both of these papyri. The first of the papyrus is just a 6-meter long and 35-cm wide papyrus referred to as the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is just a copy written 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 book written to show math. In the introduction part, after having a few exercises given to show operations with fractional numbers, 87 questions are shown with their solutions. These are the kind of questions people can encounter in daily life, such as for example sharing account, interest calculation, or finding the area of some geometric shapes. That is pretty much our 8th grade mathematics. The next papyrus, known as the Moscow papyrus and now in the Moscow museum, can also be BC. It is just a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the kind of questions in the Ahmes papyrus, except for the two. Are you aware that other two questions, one could be the calculation of the amount and part of the surface of the sphere part cut by a plane. Another may be the question of finding the quantity of a pyramid cut with a plane. Both questions were solved correctly. Both of these questions are accepted as the pinnacle of Egyptian mathematics. The Egyptians seen that the region of the circle was proportional to its diameter and found the number 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 has not made any significant progress.
B.C. 600s would be the years once the Persians began to dominate the center 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, annually later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 could be the date that was accepted as the beginning of Greek civilization. This date is the beginning of a very bright period in science, art and literature. Greek mathematics actually started prior to when this period. A couple, 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 he went along to Egypt, stayed there for a while and learned geometry in Egypt. While in Egypt, it is described in books where he calculates the height of the fantastic pyramid by measuring the size of the shadow of the great pyramid, multiplying this number by the ratio of its length to along the current shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to show what he learned. It is assumed that abstract proof based on reasoning, which can be not based on mathematics – experimental verification, entered into Tales. Additionally, Tales is the one who is recognized as the very first philosopher in human history. He was born on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for a time, went along to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken 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 college 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 individuals of this school called “mathematics” live together and they’re connected to one another with oath. The next group contains students attending school. Pythagoras school is dependant on number cult. According in their mind, everything could be reduced to numbers; It comes with an unusually perfect harmony among numbers, and harmony is a reflection of the divine harmony. Known numbers for that day are integers indicating the plurality such as 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 called 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 strong crisis. The discovery of irrational numbers is the very first major crisis of mathematics. Many of the members of the Pythagorean school were massacred with a raid led by a big cyber named Cylon. Pythagoras saved his life, but after a few years he died. Pythagoras’thoughts, the Pythagorean school lived for many years under this or that name. As may be understood from these records, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.