Mathematics is one of the oldest sciences in human history. In ancient times, Mathematics was defined whilst the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it is no further possible to spell it out it in several sentences. What I have to express now will be words that emphasize its various aspects, rather than describe mathematics. In one aspect, mathematics is an art like painting and music. A large proportion of mathematicians perform it being an art. From this point of view, the fact a work done, a developed theory works in one way or another other than mathematics doesn’t concern them much. What matters in their mind is the depth of the task done, the novelty of the methods used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is a language. If the purpose of science is the universe; If it is to comprehend, rule and direct everything in the universe, we ought to be able 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. In order 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 only a tool for the user. After entering it, we understand and perceive what mathematics is in your knowledge and in the direction of our interest. Mathematics is currently far beyond the dimensions any human can rule. Therefore, I do not believe that people who cope with mathematics tend to be 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 employed 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, as opposed to the word mathematics, words that mean geometry, comparable to it in geometry or old languages were used.
It’s not possible to say anything definite about where and how mathematics started. If we take documents that aren’t based on archaeological findings that want interpretation, but open enough to require interpretation, We can say that it started between 3000 and 2000 in Egypt and Mesopotamia. Based on Heredotus (485-415 BC), mathematics were only available in Egypt. As you know, 97% of the Egyptian lands aren’t ideal for agriculture; It is the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are extremely valuable. However, by the end of the floods brought on by the Nile river annually, the boundaries of the landowners’lands become obscure. Considering that the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of the state, who’re in charge of these works, should arrive at take the required measurements and supply the landowners the maximum amount of land as they had in the last year. Herodotus says that geometry has begun to emerge as a result of the measurements and calculations. A second opinion concerning the birth of mathematics is the main one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics was created in Egypt. But it came to be out from the boredom of clergymen and priests, not the need for measurement-calculation caused by Nile floods. In those days, the only real intellectual class of countries such as Egypt was the priest class. Because the livelihood with this class is supplied by people or the state, they have much time 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 ;.These two views may be true; priests wanted to simplify the work of the geometric, or they discovered how to calculate the regions of some geometric shapes such as triangular and trapezoidal to test that the distribution was fair, and this way led to the birth of geometry.
We shall divide the written history of mathematics into five periods. The initial period is going to be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover a period of 1500-2000 years between 500s. The second period, BC. 500-M.S. It will cover a period 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 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, known as the golden age of mathematics, dating from 1700-1900. The period we are living in, dating back again to early 1900s, called the age of modern mathematics, could be the fifth period. I will endeavour to give details about the development of mathematics because period, contributing mathematicians, the spot of mathematics in social life and the essential features of mathematics for the reason 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. You will find two major causes for this. The first is that the ancient Egyptians wrote the writing on papyrus; The second reason may be the 3 big fires of the Alexandria libraries, the final of those fires happened during 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 rather than paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages such as “Paper”, “papier” are derived 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. Currently, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The key resources of our knowledge of Egyptian mathematics are these two papyri. The first of those papyrus is really a 6-meter long and 35-cm wide papyrus known as 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 shown making use of their solutions. These are the sort of questions people can encounter in lifestyle, such as for instance sharing account, interest calculation, or finding the area of some geometric shapes. This is just about our 8th grade mathematics. The next papyrus, called the Moscow papyrus and now in the Moscow museum, can be BC. It is 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. When it comes to other two questions, one of them may be the calculation of the quantity and area of the surface of the sphere part cut by a plane. Another may be the question of finding the amount of a pyramid cut by a plane. Both questions were solved correctly. Both of these questions are accepted while the pinnacle of Egyptian mathematics. The Egyptians seen that the region 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 at this level for 2000 years and hasn’t made any significant progress.
B.C. 600s will be the years when the Persians started initially to dominate the middle east. B.C. By the 550s, Persians are the only real 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 which was accepted as the start of Greek civilization. This date is the start of an extremely 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 the daddy of Greek mathematics. Tales Milet (Aydın) was also born. It is known he visited Egypt, stayed there for some time and learned geometry in Egypt. Whilst in Egypt, it’s described in books where he calculates the height of the great pyramid by measuring the length of the shadow of the great pyramid, multiplying this number by the ratio of its length to the size of the current shadow. After time for Tales Milet, he taught them geometry by forming a group around him to show what he learned. It is assumed that abstract proof predicated on reasoning, that will be not based on mathematics – experimental verification, entered into Tales. Additionally, Tales is the person who is considered the very first 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 while, visited Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken up to Babylon by capturing the Persians through the occupation of Egypt by the Persians. it’s known. During his 5 years in Babylon, he learned mathematics, music and religious information, and after time for Samos, he created a school and tried to show 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 people of this school called “mathematics” live together and they are connected to one another with oath. The second group contains students attending school. Pythagoras school is dependant on number cult. According to them, everything could be reduced to numbers; It posseses 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 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 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 strong crisis. The discovery of irrational numbers is the very first major crisis of mathematics. Lots 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 many years under this or that name. As may be understood from this information, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.