Mathematics is one of many 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 over time; it’s no longer possible to describe it in a few sentences. What I have to state now will undoubtedly be words that emphasize its various aspects, rather than describe mathematics. In one aspect, mathematics is an art like painting and music. The vast majority of mathematicians perform it being an art. Using 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 in their mind is the depth of the work done, the novelty of the strategy used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is really a language. If the objective of science is the universe; If it is to know, rule and direct everything in the universe, we must have the ability 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 must 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 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 has become far beyond the dimensions any human can rule. Therefore, I don’t believe those that deal with mathematics tend to be more than we understand and perceive it from mathematics compared to the blind touched net understands and perceives the elephant. The word mathematics, for initially, BC. It had been employed 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 is, information. In the years before these dates, as opposed to the word mathematics, words which means that geometry, comparable to it in geometry or old languages were used.
It’s difficult to state anything definite about where and how mathematics started. If we take documents that are not predicated 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 were only available in Egypt. As you know, 97% of the Egyptian lands aren’t suited to agriculture; It is the 3% portion that gives life to Egypt and forms the Nile delta. Therefore, these lands are incredibly valuable. However, by the end of the floods brought on by 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 each and every flood, the “geometricists” of their state, that are in charge of these works, should come to take the mandatory measurements and provide the landowners as much land as they had in the earlier year. Herodotus says that geometry has begun to emerge as a result of those measurements and calculations. An additional opinion concerning 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 was created out from the boredom of clergymen and priests, not the need for measurement-calculation caused by Nile floods. In those days, the only real intellectual class of countries such as Egypt was the priest class. Since the livelihood with this class is provided by the general public or their state, they’ve much time 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 desired to simplify the task of the geometric, or they learned how to calculate the areas of some geometric shapes such as for example triangular and trapezoidal to test that the distribution was fair, and this way led to the birth of geometry.
We will divide the written history of mathematics into five periods. The first period is going to be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover an amount of 1500-2000 years between 500s. The next period, BC. 500-M.S. It’ll cover an amount of 1000 years, referred to as the Greek Mathematics period, between 500 years. The 3rd 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, referred to as the golden age of mathematics, dating from 1700-1900. The time we’re surviving in, dating back to the early 1900s, called the age of modern mathematics, will be the fifth period. I will endeavour to offer information about the development of mathematics for the reason that period, contributing mathematicians, the place of mathematics in social life and the fundamental top features of mathematics because 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. There are two major causes for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The next reason is the 3 big fires of the Alexandria libraries, the past of those fires happened through 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 write text as opposed to 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 due to moisture, heat and similar reasons. To date, two papyrus linked to mathematics appear to possess been hidden under exceptional circumstances. The key resources of our knowledge of Egyptian mathematics are those two papyri. The very first of these papyrus is really a 6-meter long and 35-cm wide papyrus known as 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 show math. In the introduction part, after a few exercises given to instruct operations with fractional numbers, 87 questions receive making use of their solutions. These are the sort of questions people can encounter in daily life, such as for instance sharing account, interest calculation, or finding the location of some geometric shapes. This really is pretty much our 8th grade mathematics. The next papyrus, called 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 kind of questions in the Ahmes papyrus, except for the two. When it comes to other two questions, one is the calculation of the volume and part of the surface of the sphere part cut by way of a plane. The other is the question of finding the amount of a pyramid cut by way of a plane. Both questions were solved correctly. Both of these 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 the number of 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 would be the years when 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, annually later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 is 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 earlier than this period. A couple, 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 famous that he went to Egypt, stayed there for some time and learned geometry in Egypt. While in Egypt, it’s described in books where he calculates the height of the great pyramid by measuring the size of the shadow of the fantastic pyramid, multiplying this number by the ratio of its length to the length of the current shadow. After returning to Tales Milet, he taught them geometry by forming an organization around him to teach what he learned. It is assumed that abstract proof based on reasoning, that is not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the person who is recognized as the very 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 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 teach 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’re connected to one another with oath. The 2nd group includes students attending school. Pythagoras school is dependant on number cult. According in their mind, everything can be reduced to numbers; It posseses an unusually perfect harmony among numbers, and harmony is really 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 known 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 heavy crisis. The discovery of irrational numbers is the initial major crisis of mathematics. Lots of the members of the Pythagorean school were massacred by way of 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 details, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.