Mathematics is among the 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 with time; it is no further possible to spell it out it in a couple of sentences. What I’ve to say now will soon be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is a skill like painting and music. A large proportion of mathematicians perform it being an art. Out of this perspective, the fact that a work done, a developed theory works in one of the ways or another apart from mathematics doesn’t concern them much. What matters to them is the depth of the task done, the novelty of the techniques used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is just a language. If the purpose of science may be the universe; If it’s to comprehend, rule and direct everything in the universe, we should be able 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. To be able 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 view it as a game. Mathematics is only a tool for its user. After entering it, we understand and perceive what mathematics is inside our knowledge and in the direction of our interest. Mathematics has become far beyond the dimensions any human can rule. Therefore, I don’t believe people who deal with mathematics tend to be more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The phrase mathematics, for the very first time, BC. It was employed by the members of the Pythagorean school in the 550s. His entry into 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, as opposed to the word mathematics, words which means that geometry, equal to it in geometry or old languages were used.
It’s extremely hard to state anything definite about where and how mathematics started. When we take documents which are not predicated on archaeological findings that need interpretation, but open enough to require interpretation, We could say so it started between 3000 and 2000 in Egypt and Mesopotamia. According to Heredotus (485-415 BC), mathematics were only available in Egypt. Everbody knows, 97% of the Egyptian lands aren’t suitable for agriculture; It is the 3% portion that offers life to Egypt and forms the Nile delta. Therefore, these lands are incredibly valuable. However, at the conclusion of the floods caused by 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 every flood, the “geometricists” of the state, that are responsible for these works, should arrive at take the required measurements and supply the landowners the maximum amount of land as they’d in the earlier year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. Another opinion in regards to the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics was created in Egypt. However it came to be out of the boredom of clergymen and priests, not the necessity for measurement-calculation brought on by Nile floods. In those days, the only real intellectual class of countries such as for instance Egypt was the priest class. Since the livelihood of the class is given by the public or the state, they’ve much time and energy to give intellectual pursuits. To 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 ;.These two views might be true; priests wished to simplify the job of the geometric, or they learned just how to calculate the areas of some geometric shapes such as triangular and trapezoidal to check on 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 is likely to be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover an amount of 1500-2000 years between 500s. The second period, BC. 500-M.S. It will cover an amount of 1000 years, known 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 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’re residing in, dating back again to the first 1900s, called the age of modern mathematics, could be the fifth period. I will attempt to give details about the development of mathematics in that period, contributing mathematicians, the spot of mathematics in social life and the basic options that come with mathematics for the reason that period.
We will 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 will find two main reasons for this. The first is that the ancient Egyptians wrote the writing on papyrus; The second reason is 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 is the leaves of a reddish, reed type plant growing in the Nile delta, an average of 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 derived from the word papyrus. The typical lifespan of a papyrus is 300 years; 300 years later, it is flaky because of moisture, heat and similar reasons. Currently, two papyrus related to mathematics appear to have been hidden under exceptional circumstances. The key resources of our knowledge of Egyptian mathematics are those two papyri. The first of those papyrus is 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 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 teach math. In the introduction part, after a few exercises given to instruct operations with fractional numbers, 87 questions get with their solutions. These are the kind of questions people can encounter in everyday life, such as sharing account, interest calculation, or finding the region of some geometric shapes. That is more or less our 8th grade mathematics. The second papyrus, known as the Moscow papyrus and now in the Moscow museum, can also 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 of them is the calculation of the quantity and area of the surface of the sphere part cut by a plane. One other may be the question of finding the quantity of a pyramid cut by way of a plane. Both questions were solved correctly. Both of these questions are accepted since the pinnacle of Egyptian mathematics. The Egyptians seen that the location 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 at this level for 2000 years and hasn’t made any significant progress.
B.C. 600s would be the years when the Persians started to dominate the center 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, per 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 start of an extremely bright period in science, art and literature. Greek mathematics actually started prior to when this period. A couple, 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 famous that he went 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 fantastic pyramid by measuring the length 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 a group around him to instruct what he learned. It’s assumed that abstract proof predicated on reasoning, which can be not predicated on mathematics – experimental verification, entered into Tales. Additionally, Tales is the person 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 time, 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 instruct the folks 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 together with oath. The next group contains students attending school. Pythagoras school is based on number cult. According for 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 known as the Pythagorean theorem (the square of the proper sides of the right triangle equals the square of the hypotenuse) put the Pythagorean school in a heavy 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 a raid led by a big cyber named Cylon. Pythagoras saved his life, but after a few years he died. Pythagoras’thoughts, the Pythagorean school lived for several years under this or that name. As can be understood from this information, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.