logarithm concept | Math

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logarithm concept

MATHEMATIC HISTORY

Mathematics is one of 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 over time; it’s no further possible to explain 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 one aspect, mathematics is an art like painting and music. The vast majority of mathematicians perform it as an art. Out of this standpoint, the fact that a work done, a developed theory works in one of the ways or another besides mathematics doesn’t concern them much. What matters to them may be the depth of the work done, the novelty of the methods used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is a language. If the purpose of science could be the universe; If it is to know, rule and direct everything in the universe, we must be able 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. In order to understand and interpret them, we have 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 just a tool for its user. After entering it, we understand and perceive what mathematics is within 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 those that deal with mathematics are more than we understand and perceive it from mathematics than the blind touched net understands and perceives the elephant. The term mathematics, for the very first time, BC. It absolutely was used 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 word meaning is “what must be learned”, that’s, information. In the years before these dates, rather than the word mathematics, words that mean geometry, equivalent to it in geometry or old languages ​​were used.

It’s difficult to say anything definite about where and how mathematics started. When we take documents that are not centered 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. In accordance with Heredotus (485-415 BC), mathematics started in Egypt. Everbody knows, 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 really valuable. However, by the end of the floods due to the Nile river each year, 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, who’re in charge of these works, should come to take the necessary measurements and provide 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 in regards to the birth of mathematics is the main one put forward by Aristotle (384-322 BC). Based on Aristotle, mathematics came to be in Egypt. However it came to be from the boredom of clergymen and priests, not the necessity for measurement-calculation caused by Nile floods. In those days, the sole intellectual class of countries such as for instance Egypt was the priest class. Since the livelihood with this class is given by people or the state, they’ve much time and energy to give intellectual pursuits. To help keep them busy, they invented geometry and arithmetic, the mathematics of the period, just like others invented games like chess, bridge, and go&hellip ;.These two views may be true; priests wished to simplify the job of the geometric, or they found out how to calculate the areas of some geometric shapes such as triangular and trapezoidal to check on that the distribution was fair, and in this manner led to the birth of geometry.

We shall divide the written history of mathematics into five periods. The first period will soon be Egypt and Mesopotamia; this period BC In 2000s BC. It will cover a period of 1500-2000 years between 500s. The second 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 will 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, known as the golden age of mathematics, dating from 1700-1900. The time scale we are surviving in, dating back again to the first 1900s, called age modern mathematics, would be the fifth period. I will try to offer information about the development of mathematics for the reason that period, contributing mathematicians, the area of mathematics in social life and the fundamental features of mathematics for the reason that period.

We will 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 main reasons for this. The first is that the ancient Egyptians wrote the writing on papyrus; The 2nd reason could be the 3 big fires of the Alexandria libraries, the last of these fires happened through 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, on average 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 based on the phrase papyrus. The common lifespan of a papyrus is 300 years; 300 years later, it is flaky due to moisture, heat and similar reasons. Currently, two papyrus linked to mathematics appear to possess been hidden under exceptional circumstances. The key resources of our knowledge of Egyptian mathematics are both of these papyri. The initial of those 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 really 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 guide written to instruct math. In the introduction part, after a few exercises given to instruct operations with fractional numbers, 87 questions are made making use of their solutions. These are the sort of questions people can encounter in everyday life, such as for example sharing account, interest calculation, or finding the region of ​​some geometric shapes. This really is more or less our 8th grade mathematics. The next papyrus, called the Moscow papyrus and now in the Moscow museum, is also BC. It is just 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. As for the other two questions, one of them could be the calculation of the amount and area of ​​the surface of the sphere part cut by way of a plane. One other could be the question of finding the amount of a pyramid cut with a plane. Both questions were solved correctly. Both of these questions are accepted because the pinnacle of Egyptian mathematics. The Egyptians seen 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’s understood that Egyptian mathematics has remained at this level for 2000 years and has not made any significant progress.

B.C. 600s are the years once the Persians started 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 could be the date that has been 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 sooner than this period. Two different people, Tales (624-547 BC) and Pythagoras (569-475 BC), are regarded as being the daddy 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. While in Egypt, it’s 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 size of the present shadow. After time for Tales Milet, he taught them geometry by forming an organization around him to instruct what he learned. It’s assumed that abstract proof based on reasoning, which is not predicated on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the one who is considered 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 some 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 throughout 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 school and tried to teach 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 second group includes students attending school. Pythagoras school is founded on number cult. According to them, everything can be reduced to numbers; It has 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 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 called the Pythagorean theorem (the square of the best sides of the 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. Most 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 many years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As could be understood from these details, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.