Mathematics is among the oldest sciences in human history. In ancient times, Mathematics was defined while the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it’s no more possible to spell it out it in a couple of sentences. What I’ve to state now is going to be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is an art like painting and music. The vast majority of mathematicians perform it as an art. Using this standpoint, the fact that a work done, a developed theory works in one way or another apart from mathematics doesn’t concern them much. What matters in their mind is the depth of the job 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 is the universe; If it is to know, rule and direct everything in the universe, we must 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 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 inside our knowledge and in the direction of our interest. Mathematics is currently far beyond the dimensions any human can rule. Therefore, I don’t genuinely believe that people who cope with mathematics are more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The word mathematics, for the very first time, BC. It absolutely 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 term meaning is “what must be learned”, that’s, 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’s extremely hard to state anything definite about where and how mathematics started. When we take documents that aren’t centered on archaeological findings that require interpretation, but open enough to require interpretation, We are able to say so it started between 3000 and 2000 in Egypt and Mesopotamia. Based on Heredotus (485-415 BC), mathematics were only available in Egypt. Everbody knows, 97% of the Egyptian lands are not suited to 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 brought on by the Nile river annually, the boundaries of the landowners’lands become obscure. Considering that the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of their state, who are responsible for these works, should come to take the necessary measurements and supply the landowners as much land as they had in the earlier year. Herodotus says that geometry has begun to emerge consequently of the measurements and calculations. Another opinion about the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). According to Aristotle, mathematics came to be in Egypt. However it was born from the boredom of clergymen and priests, not the necessity for measurement-calculation brought on by Nile floods. At that time, the only intellectual class of countries such as for instance Egypt was the priest class. Since the livelihood of the class is provided by the public or the state, they have much time and energy to give to intellectual pursuits. To help keep them busy, they invented geometry and arithmetic, the mathematics of that point, just like others invented games like chess, bridge, and go&hellip ;.These two views may be true; priests wished to simplify the task of the geometric, or they discovered how exactly 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 way led to the birth of geometry.
We shall 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 a period of 1500-2000 years between 500s. The 2nd period, BC. 500-M.S. It’ll cover an amount of 1000 years, known as the Greek Mathematics period, between 500 years. The next 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’re surviving in, dating back to the early 1900s, called age modern mathematics, will be the fifth period. I will attempt to provide information about the development of mathematics for the reason that period, contributing mathematicians, the spot of mathematics in social life and the fundamental top features of mathematics in that period.
We will 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. There are two major causes for this. The foremost is that the ancient Egyptians wrote the writing on papyrus; The second reason could be the 3 big fires of the Alexandria libraries, the last of these 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, typically 15-25 meters long and 30-50 inches wide. These leaves were used to create 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 word papyrus. The average lifespan of a papyrus is 300 years; 300 years later, it’s flaky because of moisture, heat and similar reasons. To date, two papyrus related to mathematics appear to own been hidden under exceptional circumstances. The main sourced elements of our understanding of Egyptian mathematics are these two papyri. The very first of those papyrus is just a 6-meter long and 35-cm wide papyrus known as the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is just a copy published 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, after having a few exercises given to show operations with fractional numbers, 87 questions get using their solutions. These are the type of questions people can encounter in everyday life, such as for instance sharing account, interest calculation, or finding the area of some geometric shapes. This really is just about our 8th grade mathematics. The second papyrus, referred to as 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 sort of questions in the Ahmes papyrus, aside from the two. As for the other two questions, one may be the calculation of the quantity and section of the surface of the sphere part cut with a plane. One other may be the question of finding the volume of a pyramid cut by a plane. Both questions were solved correctly. Both of these questions are accepted whilst the pinnacle of Egyptian mathematics. The Egyptians realized that the region 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 only at that 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 middle east. B.C. By the 550s, Persians are the only rulers of the entire 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 that has been 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 famous that he visited 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 along the shadow of the great pyramid, multiplying this number by the ratio of its length to the size of the current shadow. After time for Tales Milet, he taught them geometry by forming an organization around him to teach what he learned. It’s assumed that abstract proof centered on reasoning, which is 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 while, 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 time for Samos, he created a college and tried to show 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 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 based on number cult. According in their mind, everything can 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 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 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 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 several years under this or that name. As may be understood from these details, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.