Mathematics is one of many 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 over time; it is no further possible to spell it out it in several sentences. What I have to say now is going to be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is an art like painting and music. The vast majority of mathematicians perform it being an art. From this viewpoint, 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 may be 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 really a language. If the goal of science is the universe; When 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. To be able to understand and interpret them, we have to 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 inside our knowledge and in the direction of our interest. Mathematics is now far beyond the dimensions any human can rule. Therefore, I don’t think that people who cope with mathematics are far more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The phrase mathematics, for the first time, BC. It was utilized by the members of the Pythagorean school in the 550s. His entry in to the written literature, with Plato BC. It 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, equal to it in geometry or old languages were used.
It’s not possible to state anything definite about where and how mathematics started. When we take documents that aren’t based 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. You may already know, 97% of the Egyptian lands aren’t suitable for agriculture; It’s the 3% portion that offers 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 each year, 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 their state, who’re in charge of these works, should come to take the required measurements and supply the landowners just as much land as they had in the previous year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. A second opinion in regards to the birth of mathematics is the one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics was created in Egypt. However it came to be out of the boredom of clergymen and priests, not the need for measurement-calculation caused by Nile floods. In those days, the only intellectual class of countries such as Egypt was the priest class. Considering that the livelihood of the class is given by the general public or their state, they have much time to give intellectual pursuits. To help keep them busy, they invented geometry and arithmetic, the mathematics of the period, in the same way others invented games like chess, bridge, and go&hellip ;.Both of these views may be true; priests wanted to simplify the work of the geometric, or they discovered just how to calculate the aspects of some geometric shapes such as 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 undoubtedly be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover a period of 1500-2000 years between 500s. The 2nd period, BC. 500-M.S. It’ll cover a period of 1000 years, referred to as the Greek Mathematics period, between 500 years. The 3rd term, M.S. It’ll 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 period we are living in, dating back once again to the first 1900s, called the age of modern mathematics, would be the fifth period. I will try to give information about the development of mathematics for the reason that period, contributing mathematicians, the spot of mathematics in social life and the fundamental options that come with mathematics in that period.
We will start the initial 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 major causes for this. The very 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 final of those 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 publish text as opposed to paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages such as “Paper”, “papier” are produced from the phrase papyrus. The typical lifespan of a papyrus is 300 years; 300 years later, it is flaky due to moisture, heat and similar reasons. Currently, two papyrus linked to mathematics appear to possess been hidden under exceptional circumstances. The key resources of our understanding of Egyptian mathematics are those two papyri. The initial of those papyrus is really 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 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 book written to teach math. In the introduction part, after having a few exercises given to teach operations with fractional numbers, 87 questions are given making use of their solutions. They are the type of questions people can encounter in daily life, such as for instance sharing account, interest calculation, or finding the region of some geometric shapes. This really is just about our 8th grade mathematics. The 2nd papyrus, known as 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 type of questions in the Ahmes papyrus, aside from the two. As for the other two questions, one is the calculation of the volume and section of the surface of the sphere part cut with a plane. The other is the question of finding the quantity of a pyramid cut with a plane. Both questions were solved correctly. Both of these questions are accepted since the pinnacle of Egyptian mathematics. The Egyptians realized 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 will be the years once the Persians began to dominate the middle east. B.C. By the 550s, Persians are the only 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 may 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. 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 known 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 fantastic pyramid by measuring the size of the shadow of the fantastic pyramid, multiplying this number by the ratio of its length to along the existing shadow. After time for Tales Milet, he taught them geometry by forming an organization around him to show what he learned. It’s assumed that abstract proof based on reasoning, which will be not based on mathematics – experimental verification, entered into Tales. Additionally, Tales is the one who is considered the 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 up to Babylon by capturing the Persians throughout 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 instruct 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 people of this school called “mathematics” live together and they are connected to each other with oath. The 2nd group includes students attending school. Pythagoras school is dependant on number cult. According to them, everything can 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 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 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 many years under this or that name. As could be understood from these records, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.