Mathematics | Math

Mathematics

Mathematics

MATHEMATIC HISTORY

Mathematics is among the oldest sciences in human history. In ancient times, Mathematics was defined because the science of numbers and shapes. Mathematics, like other branches of science, has evolved over time; it’s no further possible to explain it in a few sentences. What I have to state now will soon be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is an art like painting and music. A large proportion of mathematicians perform it being an art. Out of this standpoint, the fact a work done, a developed theory works in one of the ways or another besides mathematics does not concern them much. What matters to them is 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 could be the universe; If it’s to understand, 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 must know the language of mathematics. In another aspect, mathematics can be an intellectual game like chess.

Some mathematicians also view 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 currently far beyond the dimensions any human can rule. Therefore, I don’t genuinely believe that those that cope with mathematics are more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The phrase mathematics, for initially, 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 absolutely was in the 380s. The term meaning is “what needs to 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’s difficult to express 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. Based on Heredotus (485-415 BC), mathematics were only available in Egypt. You may already 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 really valuable. However, at the end of the floods caused by 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 each flood, the “geometricists” of their state, who are in charge of these works, should arrived at take the necessary measurements and provide the landowners as much land as they had in the last year. Herodotus says that geometry has begun to emerge consequently of these measurements and calculations. An additional opinion about the birth of mathematics is the one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics was born in Egypt. But it was born out of the boredom of clergymen and priests, not the requirement for measurement-calculation due to Nile floods. During those times, the only intellectual class of countries such as for example Egypt was the priest class. Since the livelihood with this class is supplied by the general public or the state, they’ve 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 ;.These two views may be true; priests desired to simplify the job of the geometric, or they discovered how to calculate the regions of some geometric shapes such as for example triangular and trapezoidal to check that the distribution was fair, and this way generated the birth of geometry.

We shall divide the written history of mathematics into five periods. The first 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 2nd period, BC. 500-M.S. It will cover a period of 1000 years, referred to as 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, called the golden age of mathematics, dating from 1700-1900. The period we’re living in, dating back to early 1900s, called age modern mathematics, would be the fifth period. I will attempt to give details about the development of mathematics for the reason that period, contributing mathematicians, the area of mathematics in social life and the basic top features of mathematics because period.

We shall 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 main reasons for this. The foremost is that the ancient Egyptians wrote the writing on papyrus; The 2nd reason may be the 3 big fires of the Alexandria libraries, the final of these 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, on average 15-25 meters long and 30-50 inches wide. These leaves were used to write text in place of paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages ​​such as “Paper”, “papier” are based on the term papyrus. The common lifespan of a papyrus is 300 years; 300 years later, it’s flaky because of moisture, heat and similar reasons. Currently, two papyrus linked to mathematics appear to have been hidden under exceptional circumstances. The main sources of our knowledge of Egyptian mathematics are these two papyri. The first of the papyrus is 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 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 receive using their solutions. These are the kind of questions people can encounter in everyday life, such as for example sharing account, interest calculation, or finding the location of ​​some geometric shapes. This really is more or less our 8th grade mathematics. The second papyrus, known as the Moscow papyrus and now in the Moscow museum, can be BC. It is really a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the type of questions in the Ahmes papyrus, with the exception of 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 with a plane. Another is the question of finding the amount of a pyramid cut by way of a plane. Both questions were solved correctly. These two questions are accepted as the pinnacle of Egyptian mathematics. The Egyptians realized that the location 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’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 center east. B.C. By the 550s, Persians are the only real 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 may be the date that 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 sooner than this period. Two different people, Tales (624-547 BC) and Pythagoras (569-475 BC), are considered to be the daddy of Greek mathematics. Tales Milet (Aydın) was also born. It is known that he went to Egypt, stayed there for some time and learned geometry in Egypt. While 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 truly amazing pyramid, multiplying this number by the ratio of its length to the length of the current shadow. After time for Tales Milet, he taught them geometry by forming friends around him to teach what he learned. It’s assumed that abstract proof predicated on reasoning, that is not centered on mathematics – experimental verification, entered into Tales. In addition, Tales is the one who is known as the first 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 while, went along to 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 college and tried to instruct individuals 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 are connected to each other with oath. The next group contains students attending school. Pythagoras school is based on number cult. According for them, everything can 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,… are 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 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 way of a big cyber named Cylon. Pythagoras saved his life, but after many years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As could be understood from these details, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.

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