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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 as time passes; it’s no more possible to explain it in a few sentences. What I’ve to state now will undoubtedly 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 great majority of mathematicians perform it being an art. From this standpoint, the truth that a work done, a developed theory works in one way or another other than mathematics doesn’t concern them much. What matters for them may be the depth of the job 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 purpose of science is the universe; If it’s to know, rule and direct everything in the universe, we should have the ability to read 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 an intellectual game like chess.
Some mathematicians also view it as a game. Mathematics is only a tool because of its user. After entering it, we understand and perceive what mathematics is inside our knowledge and in the direction of our interest. Mathematics is now far beyond the dimensions any human can rule. Therefore, I do not genuinely believe that those who cope with mathematics are far more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The term mathematics, for the first time, BC. It was employed 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 word meaning is “what must be learned”, that is, information. In the years before these dates, rather than the word mathematics, words which means that geometry, comparable 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 need interpretation, but open enough to require interpretation, We are able to say so it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with Heredotus (485-415 BC), mathematics started in Egypt. You may already know, 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 end of the floods due to the Nile river every year, the boundaries of the landowners’lands become obscure. Since the landowners also pay taxes in proportion to the land they own, after every flood, the “geometricists” of the state, that are accountable for these works, should arrive at take the required measurements and provide the landowners as much land as they’d in the previous year. Herodotus says that geometry has begun to emerge as a result of these measurements and calculations. An additional opinion in regards to the birth of mathematics is the main one put forward by Aristotle (384-322 BC). According to Aristotle, mathematics came to be in Egypt. However it was born out of the boredom of clergymen and priests, not the requirement 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 of the class is provided by people or the state, they have much time for you to give to 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 of these views may be true; priests wished to simplify the task of the geometric, or they found out how exactly to calculate the aspects of some geometric shapes such as for instance triangular and trapezoidal to test that the distribution was fair, and in this manner led to the birth of geometry.
We shall divide the written history of mathematics into five periods. The very first period will be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover an amount of 1500-2000 years between 500s. The next period, BC. 500-M.S. It will cover a period of 1000 years, referred to 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 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 are surviving in, dating back once again to the first 1900s, called the age of modern mathematics, will be the fifth period. I will try to provide details about the development of mathematics because period, contributing mathematicians, the place of mathematics in social life and the fundamental options that come with mathematics for the reason that 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 significant reasons for this. The first is that the ancient Egyptians wrote the writing on papyrus; The next reason may be 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, on average 15-25 meters long and 30-50 inches wide. These leaves were used to create text instead of paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages such as “Paper”, “papier” are based on 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 main resources of our familiarity with Egyptian mathematics are these two papyri. The very first of these papyrus is just a 6-meter long and 35-cm wide papyrus known as the Ahmes (or Rhind) papyrus. This papyrus, BC. You are a puree written in 2000s, BC. It is really 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 guide written to instruct math. In the introduction part, following a few exercises given to show operations with fractional numbers, 87 questions are given making use of their solutions. They’re the sort of questions people can encounter in everyday life, such as for example sharing account, interest calculation, or finding the location of some geometric shapes. That is just about our 8th grade mathematics. The 2nd papyrus, referred to as 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 kind of questions in the Ahmes papyrus, except for the two. As for the other two questions, one is the calculation of the amount and section of the surface of the sphere part cut with a plane. The other could be the question of finding the quantity of a pyramid cut by a plane. Both questions were solved correctly. These two questions are accepted whilst the pinnacle of Egyptian mathematics. The Egyptians realized 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 hasn’t made any significant progress.
B.C. 600s are the years when the Persians started initially 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, a year later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 could be 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 different 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 famous that he went along to Egypt, stayed there for some time and learned geometry in Egypt. During Egypt, it is described in books where he calculates the height of the great pyramid by measuring along the shadow of the great pyramid, multiplying this number by the ratio of its length to the size of the present shadow. After returning to Tales Milet, he taught them geometry by forming an organization around him to teach what he learned. It’s assumed that abstract proof based on reasoning, which can be not based on mathematics – experimental verification, entered into Tales. Additionally, Tales is the person who is known as the initial 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, 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 instruct individuals he gathered around. For political reasons, BC. He left 518 Samos, settled in southern Italy, in the town 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’re connected to one another with oath. The second group contains students attending school. Pythagoras school is dependant on number cult. According for them, everything can 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 example 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 known as the Pythagorean theorem (the square of the best 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. Most of the members of the Pythagorean school were massacred with a raid led with 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 this information, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.