Mathematics is among the oldest sciences in human history. In ancient times, Mathematics was defined since the science of numbers and shapes. Mathematics, like other branches of science, has evolved over time; it is no longer possible to explain it in a few sentences. What I have to express 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. The great majority of mathematicians perform it being an art. From this perspective, the fact a work done, a developed theory works in one way or another besides mathematics does not concern them much. What matters to them is 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 objective of science may be the universe; When it is to know, rule and direct everything in the universe, we must 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 have to know the language of mathematics. In another aspect, mathematics is an intellectual game like chess.
Some mathematicians also notice it as a game. Mathematics is only 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 now far beyond the dimensions any human can rule. Therefore, I don’t genuinely believe that people who deal with mathematics are far more than we understand and perceive it from mathematics compared to the blind touched net understands and perceives the elephant. The word mathematics, for the very first time, BC. It was utilized by the members of the Pythagorean school in the 550s. His entry to the written literature, with Plato BC. It absolutely was in the 380s. The phrase meaning is “what must be learned”, that’s, information. In the years before these dates, rather than 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. When we take documents that 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. According to Heredotus (485-415 BC), mathematics started in Egypt. You may already know, 97% of the Egyptian lands are not suited to agriculture; It is the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are incredibly valuable. However, at the end of the floods caused by the Nile river annually, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of the state, who are in charge of these works, should arrived at take the necessary measurements and give the landowners the maximum amount of land as they’d in the last 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 the main one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics came to be in Egypt. However it was created out from the boredom of clergymen and priests, not the necessity for measurement-calculation due to Nile floods. In those days, the only real intellectual class of countries such as for instance Egypt was the priest class. Considering that the livelihood of this class is supplied by the public or their state, they’ve much time for you to give to intellectual pursuits. To help keep them busy, they invented geometry and arithmetic, the mathematics of that time, just as others invented games like chess, bridge, and go&hellip ;.Both these views might be true; priests wished to simplify the work of the geometric, or they found out just how to calculate the aspects of some geometric shapes such as for example triangular and trapezoidal to check that the distribution was fair, and in this way generated the birth of geometry.
We shall divide the written history of mathematics into five periods. The very first period is going to 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, known as the Greek Mathematics period, between 500 years. The next term, M.S. It will 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, known as the golden age of mathematics, dating from 1700-1900. The period we are living in, dating back to early 1900s, called the age of modern mathematics, will be the fifth period. I will endeavour to give information regarding the development of mathematics because period, contributing mathematicians, the area of mathematics in social life and the essential options that come with mathematics for the reason that period.
We shall 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 could be the 3 big fires of the Alexandria libraries, the final of these fires happened throughout the conquest of Egypt by 641 Muslims, the written documents disappeared. Papyrus could be 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 write text in place 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 is flaky because of moisture, heat and similar reasons. Currently, two papyrus related to mathematics appear to possess been hidden under exceptional circumstances. The main sources of our familiarity with Egyptian mathematics are these two papyri. The initial of those papyrus is just a 6-meter long and 35-cm wide papyrus called 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 book written to teach math. In the introduction part, following a few exercises given to teach operations with fractional numbers, 87 questions are made making use of their solutions. They’re the kind of questions people can encounter in everyday life, such as for instance sharing account, interest calculation, or finding the area of some geometric shapes. That is just about our 8th grade mathematics. The next papyrus, called 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 sort of questions in the Ahmes papyrus, aside from the two. When it comes to other two questions, one of them could be the calculation of the volume and area of the surface of the sphere part cut by a plane. One other is the question of finding the amount of a pyramid cut with a plane. Both questions were solved correctly. These two questions are accepted whilst the pinnacle of Egyptian mathematics. The Egyptians realized that the area 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 as of 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 middle east. B.C. By the 550s, Persians are the sole 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 beginning 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. 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 he visited Egypt, stayed there for some 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 length of the shadow of the truly amazing pyramid, multiplying this number by the ratio of its length to the size of the present shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to instruct what he learned. It is assumed that abstract proof predicated on reasoning, that will be not predicated on mathematics – experimental verification, entered into Tales. Additionally, Tales is the person who is considered 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 time, went to Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken to Babylon by capturing the Persians during 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 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 2nd group consists of students attending school. Pythagoras school is founded on number cult. According in their mind, everything may be reduced to numbers; It posseses 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 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 referred to as 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 first major crisis of mathematics. Most 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 several years under this or that name. As may be understood from this information, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.