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 more possible to explain it in a couple of sentences. What I’ve to express now is going to be words that emphasize its various aspects, as opposed to describe mathematics. In taking care of, mathematics is a skill like painting and music. A large proportion of mathematicians perform it being an art. From this perspective, 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 to them could be the depth of the job done, the novelty of the techniques used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is a language. If the objective of science could be the universe; If it is to understand, rule and direct everything in the universe, we must manage 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 need to know the language of mathematics. In another aspect, mathematics can be an intellectual game like chess.
Some mathematicians also see it as a game. Mathematics is only a tool for the user. After entering it, we understand and perceive what mathematics is in your knowledge and in the direction of our interest. Mathematics is currently far beyond the dimensions any human can rule. Therefore, I do not think that those that deal with mathematics tend to be more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The phrase mathematics, for the very first time, BC. It absolutely was utilized by the members of the Pythagorean school in the 550s. His entry into the written literature, with Plato BC. It had been in the 380s. The phrase meaning is “what must be learned”, that is, 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 is extremely hard to state anything definite about where and how mathematics started. When we take documents which are not based on archaeological findings that want 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 started in Egypt. You may already know, 97% of the Egyptian lands aren’t suitable for agriculture; It is the 3% portion that gives 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 annually, the boundaries of the landowners’lands become obscure. Since the landowners also pay taxes in proportion to the land they own, after each and every flood, the “geometricists” of the state, that are accountable for these works, should arrive at take the required measurements and provide the landowners the maximum amount of land as they’d in the previous year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. Another opinion concerning the birth of mathematics is the one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics came to be in Egypt. However it was created out of the boredom of clergymen and priests, not the necessity for measurement-calculation due to Nile floods. During those times, the sole intellectual class of countries such as for instance Egypt was the priest class. Since the livelihood of this class is supplied by the public or the state, they have much time and energy to share with intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that point, just as others invented games like chess, bridge, and go&hellip ;.These two views may be true; priests wanted to simplify the work of the geometric, or they discovered how exactly to calculate the aspects of some geometric shapes such as for example triangular and trapezoidal to check on that the distribution was fair, and in this manner generated the birth of geometry.
We will divide the written history of mathematics into five periods. The first period will be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover an amount of 1500-2000 years between 500s. The next period, BC. 500-M.S. It’ll cover an amount of 1000 years, called 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, called the golden age of mathematics, dating from 1700-1900. The period we’re living in, dating back once 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 for the reason that period, contributing mathematicians, the spot of mathematics in social life and the basic top features of mathematics in that period.
We shall 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 can find two significant reasons for this. The first is that the ancient Egyptians wrote the writing on papyrus; The next reason is 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, on average 15-25 meters long and 30-50 inches wide. These leaves were used to create text as opposed to 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 average lifespan of a papyrus is 300 years; 300 years later, it is flaky due to moisture, heat and similar reasons. To date, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The main sourced elements of our understanding of Egyptian mathematics are those two papyri. The initial of the papyrus is 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 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 book written to instruct math. In the introduction part, after a few exercises given to teach operations with fractional numbers, 87 questions are shown making use of their solutions. They’re the sort of questions people can encounter in daily life, such as for example sharing account, interest calculation, or finding the area of some geometric shapes. That is pretty much our 8th grade mathematics. The next papyrus, known as the Moscow papyrus and now in the Moscow museum, can also be BC. It is really a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the sort of questions in the Ahmes papyrus, except for the two. When it comes to other two questions, one could be the calculation of the quantity and area of the surface of the sphere part cut by a plane. Another may be the question of finding the amount of a pyramid cut with a plane. Both questions were solved correctly. Those two questions are accepted because the pinnacle of Egyptian mathematics. The Egyptians realized 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 as of this level for 2000 years and hasn’t made any significant progress.
B.C. 600s will be the years when the Persians began 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 could be the date that was accepted as the start of Greek civilization. This date is the start 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 father of Greek mathematics. Tales Milet (Aydın) was also born. It is known he visited Egypt, stayed there for some time and learned geometry in Egypt. While in Egypt, it is described in books where he calculates the height of the fantastic pyramid by measuring along 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 show what he learned. It’s assumed that abstract proof based on reasoning, that will be not predicated on mathematics – experimental verification, entered into Tales. In addition, Tales is the one who is recognized as the very 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, 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 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 the people 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 individuals of this school called “mathematics” live together and they’re connected together with oath. The next group contains students attending school. Pythagoras school is dependant on number cult. According to 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 instance 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 best 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 initial major crisis of mathematics. Lots of the members of the Pythagorean school were massacred with 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 many years under this or that name. As could be understood from these records, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.