Mathematics is one of many 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 with time; it’s no more possible to explain it in a couple of sentences. What I have to express now will soon be words that emphasize its various aspects, as opposed to describe mathematics. In one aspect, mathematics is an art form like painting and music. A large proportion of mathematicians perform it being an art. From this perspective, the truth 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 for them may be the depth of the task done, the novelty of the strategy used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is a language. If the goal of science is the universe; If it’s to understand, rule and direct everything in the universe, we must be able to browse 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 need to know the language of mathematics. In another aspect, mathematics is an intellectual game like chess.
Some mathematicians also see it as a game. Mathematics is just 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 currently far beyond the dimensions any human can rule. Therefore, I do not believe those who deal with mathematics are more than we understand and perceive it from mathematics compared to the blind touched net understands and perceives the elephant. The term mathematics, for the very first time, BC. It had been utilized by the members of the Pythagorean school in the 550s. His entry into the written literature, with Plato BC. It was in the 380s. The word meaning is “what needs to be learned”, that’s, information. In the years before these dates, instead of the word mathematics, words which means that 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. If we take documents that aren’t based on archaeological findings that want interpretation, but open enough to require interpretation, We are able to say that it started between 3000 and 2000 in Egypt and Mesopotamia. Based on Heredotus (485-415 BC), mathematics started in Egypt. Everbody knows, 97% of the Egyptian lands aren’t ideal for agriculture; It’s the 3% portion that gives life to Egypt and forms the Nile delta. Therefore, these lands are incredibly valuable. However, at the conclusion of the floods due to the Nile river every year, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after each and every flood, the “geometricists” of their state, that are accountable for these works, should come to take the required measurements and supply the landowners as much land as they had in the last year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. An additional opinion about 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 came to be out from the boredom of clergymen and priests, not the necessity for measurement-calculation due to Nile floods. In those days, the only intellectual class of countries such as for instance Egypt was the priest class. Because 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 the period, just like 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 just how to calculate the areas of some geometric shapes such as for example 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 first 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 next 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, called the golden age of mathematics, dating from 1700-1900. The time scale we are living in, dating back again to the early 1900s, called the age of modern mathematics, would be the fifth period. I will try to offer details about the development of mathematics because period, contributing mathematicians, the spot of mathematics in social life and the fundamental 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. You will find two major causes for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The next reason could be the 3 big fires of the Alexandria libraries, the past 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, typically 15-25 meters long and 30-50 inches wide. These leaves were used to publish text instead of 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 average lifespan of a papyrus is 300 years; 300 years later, it’s flaky as a result of moisture, heat and similar reasons. Up to now, two papyrus related to mathematics appear to have been hidden under exceptional circumstances. The main sources of our knowledge of Egyptian mathematics are these two papyri. The very first of these papyrus is really a 6-meter long and 35-cm wide papyrus called the Ahmes (or Rhind) papyrus. This papyrus, BC. You are a puree written in 2000s, BC. It is really 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 teach math. In the introduction part, after having a few exercises given to teach operations with fractional numbers, 87 questions receive using their solutions. They’re the type of questions people can encounter in everyday life, such as for example sharing account, interest calculation, or finding the area of some geometric shapes. That is just about our 8th grade mathematics. The 2nd 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 sort of questions in the Ahmes papyrus, aside from the two. Are you aware that other two questions, one of them may be the calculation of the quantity and part of the surface of the sphere part cut by way of a plane. One other is the question of finding the amount of a pyramid cut with a plane. Both questions were solved correctly. Those two 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 how many pi to be 4x (8/9) squared, ie 256/81 = 3.16. It is understood that Egyptian mathematics has remained as of this level for 2000 years and hasn’t made any significant progress.
B.C. 600s will be the years once the Persians started to dominate the center 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 is the date which was accepted as the start of Greek civilization. This date is the beginning of a very bright period in science, art and literature. Greek mathematics actually started sooner 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 that he went along to 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 truly amazing pyramid by measuring the size of the shadow of the great pyramid, multiplying this number by the ratio of its length to along the existing shadow. After returning to Tales Milet, he taught them geometry by forming an organization around him to show what he learned. It is assumed that abstract proof based on reasoning, which will be not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the person who is recognized 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 while, 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 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 returning to Samos, he created a college 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 individuals of this school called “mathematics” live together and they are connected to one another with oath. The next group consists of students attending school. Pythagoras school is dependant on number cult. According in their mind, everything may 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,… would 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 the 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 by way of a raid led by way of 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 can be understood from these records, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.