Mathematics is one of many oldest sciences in human history. In ancient times, Mathematics was defined because the science of numbers and shapes. Mathematics, like other branches of science, has evolved as time passes; it’s no more possible to describe it in a few sentences. What I have to say now is likely to be words that emphasize its various aspects, as opposed to describe mathematics. In taking care of, mathematics is an art like painting and music. A large proportion of mathematicians perform it being an art. Out of this standpoint, the truth that a work done, a developed theory works in one way or another apart from mathematics doesn’t concern them much. What matters for them may 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 really a language. If the purpose of science is the universe; If it’s to understand, rule and direct everything in the universe, we must manage to browse 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 have to know the language of mathematics. In another aspect, mathematics is definitely an intellectual game like chess.
Some mathematicians also view it as a game. Mathematics is just a tool because of its user. After entering it, we understand and perceive what mathematics is within our knowledge and in the direction of our interest. Mathematics has become far beyond the dimensions any human can rule. Therefore, I do not believe those that cope with mathematics are far more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The term mathematics, for initially, 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 phrase meaning is “what must be learned”, that is, information. In the years before these dates, rather than the word mathematics, words which means that geometry, equivalent to it in geometry or old languages were used.
It’s difficult to express anything definite about where and how mathematics started. If we take documents that are not predicated on archaeological findings that want interpretation, but open enough to require interpretation, We could 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 aren’t suitable for agriculture; It’s the 3% portion that provides 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 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 mandatory measurements and supply the landowners just as much land as they’d in the previous year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. A second opinion concerning the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). According to Aristotle, mathematics was created in Egypt. Nonetheless it came to be out of the boredom of clergymen and priests, not the requirement for measurement-calculation brought on by Nile floods. During those times, the only real intellectual class of countries such as Egypt was the priest class. Considering that the livelihood of this class is supplied by the public or their state, they’ve much time and energy to share with 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 of these views may be true; priests wanted to simplify the task of the geometric, or they found out how exactly to calculate the areas of some geometric shapes such as triangular and trapezoidal to check on that the distribution was fair, and this way 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 will cover a period of 1500-2000 years between 500s. The next period, BC. 500-M.S. It will cover a period 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 are residing in, dating back again to the early 1900s, called the age of modern mathematics, will be the fifth period. I will try to offer details about the development of mathematics because period, contributing mathematicians, the area of mathematics in social life and the essential top features of 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 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 past of the 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 as opposed to paper after cutting, joining, pressing and undergoing some simple operations. Words in western languages such as “Paper”, “papier” are produced from the term papyrus. The average lifespan of a papyrus is 300 years; 300 years later, it’s flaky due to moisture, heat and similar reasons. Currently, two papyrus related to mathematics appear to own been hidden under exceptional circumstances. The key sourced elements of our knowledge of Egyptian mathematics are both of these papyri. The very first of the papyrus is really 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 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 instruct math. In the introduction part, following a few exercises given to instruct operations with fractional numbers, 87 questions are shown with their solutions. They’re the type of questions people can encounter in daily life, such as sharing account, interest calculation, or finding the location of some geometric shapes. This really is pretty much our 8th grade mathematics. The 2nd papyrus, called the Moscow papyrus and now in the Moscow museum, can also be BC. It is just a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the type of questions in the Ahmes papyrus, except for the two. As for the other two questions, one of them could be the calculation of the quantity and area of the surface of the sphere part cut with a plane. Another could be the question of finding the quantity of a pyramid cut with a plane. Both questions were solved correctly. These two questions are accepted because 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 has not made any significant progress.
B.C. 600s are the years once the Persians started initially to dominate the center east. B.C. By the 550s, Persians are the sole 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 which was accepted as the beginning of Greek civilization. This date is the beginning of an extremely bright period in science, art and literature. Greek mathematics actually started prior to when this period. Two different people, Tales (624-547 BC) and Pythagoras (569-475 BC), are considered to be the daddy 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. While in Egypt, it’s 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 length of the present shadow. After returning to Tales Milet, he taught them geometry by forming friends around him to instruct what he learned. It is assumed that abstract proof based on reasoning, which can be not centered on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the one who is known as the very first philosopher in human history. He was created 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 fully to Babylon by capturing the Persians during 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 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 people of this school called “mathematics” live together and they are connected together with oath. The 2nd group consists of students attending school. Pythagoras school is dependant on number cult. According to them, everything could 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 for instance 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 right sides of a right triangle equals the square of the hypotenuse) put the Pythagorean school in a strong crisis. The discovery of irrational numbers is the very first major crisis of mathematics. Most of the members of the Pythagorean school were massacred by way of a raid led with 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 these details, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.