Powers of 10 Math Face Off 5.NBT.2 | Math

Powers of 10 Math Face Off 5.NBT.2

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MATHEMATIC HISTORY

Mathematics is among the 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 with time; it’s no more possible to describe it in a couple of sentences. What I have to say now will be words that emphasize its various aspects, as opposed to describe mathematics. In taking care of, mathematics is a skill like painting and music. The vast majority of mathematicians perform it being an art. Using 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 in their mind could be the depth of the task done, the novelty of the techniques used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is just a language. If the purpose of science is the universe; If it is to know, rule and direct everything in the universe, we should 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. To be able to understand and interpret them, we must know the language of mathematics. In another aspect, mathematics can be an intellectual game like chess.

Some mathematicians also view it as a game. Mathematics is merely a tool because of its 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 don’t believe that those that deal with mathematics are more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The term mathematics, for the 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 was in the 380s. The term meaning is “what needs to be learned”, that’s, information. In the years before these dates, instead of the word mathematics, words which means that geometry, equivalent to it in geometry or old languages ​​were used.

It is not possible to state anything definite about where and how mathematics started. If we take documents that aren’t predicated on archaeological findings that need interpretation, but open enough to require interpretation, We can say so it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with Heredotus (485-415 BC), mathematics were only available in Egypt. As you know, 97% of the Egyptian lands are not ideal for 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 end of the floods due to the Nile river annually, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after every flood, the “geometricists” of the state, who are responsible for these works, should arrive at take the required measurements and supply the landowners the maximum amount of land as they had in the earlier year. Herodotus says that geometry has begun to emerge as a result of those measurements and calculations. A second opinion about the birth of mathematics is the one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics came to be in Egypt. However it came to be out of the boredom of clergymen and priests, not the need for measurement-calculation due to Nile floods. In those days, the only real intellectual class of countries such as for example Egypt was the priest class. Since the livelihood of this class is provided by the public 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 that point, in the same way 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 discovered 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 generated the birth of geometry.

We shall divide the written history of mathematics into five periods. The initial 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 will 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 time we are residing in, dating back again to early 1900s, called the age of modern mathematics, will be the fifth period. I will endeavour to give details about the development of mathematics in that period, contributing mathematicians, the spot of mathematics in social life and the fundamental features of mathematics because period.

We shall 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. There are two significant reasons for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The second reason is 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 may 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 rather than 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 typical lifespan of a papyrus is 300 years; 300 years later, it’s flaky because of moisture, heat and similar reasons. Currently, two papyrus related to mathematics appear to own been hidden under exceptional circumstances. The key resources of our knowledge of Egyptian mathematics are those two papyri. The first of these papyrus is just a 6-meter long and 35-cm wide papyrus called the Ahmes (or Rhind) papyrus. This papyrus, BC. You are a puree written in 2000s, BC. It is really 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 guide written to instruct math. In the introduction part, after having a few exercises given to instruct operations with fractional numbers, 87 questions are shown making use of their solutions. They’re the kind 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, referred to as 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, with the exception of the two. As for the other two questions, one may be the calculation of the volume and part of ​​the surface of the sphere part cut with a plane. One other could be the question of finding the volume of a pyramid cut with a plane. Both questions were solved correctly. Both of these questions are accepted since 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 as of this level for 2000 years and has not made any significant progress.

B.C. 600s will be the years when the Persians began to dominate the middle east. B.C. By the 550s, Persians are the only real 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, per year 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 start 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 he went to Egypt, stayed there for a time and learned geometry in Egypt. Whilst in Egypt, it is described in books where he calculates the height of the fantastic pyramid by measuring the length of the shadow of the great pyramid, multiplying this number by the ratio of its length to along the present shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to instruct what he learned. It’s assumed that abstract proof predicated on reasoning, which is not predicated on mathematics – experimental verification, entered into Tales. In addition, Tales is the one who is considered the initial 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 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 school 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 are connected to one another with oath. The next group includes students attending school. Pythagoras school is founded on number cult. According to them, everything may 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 1,2,3,…; and kes, ¾,… are 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 the right triangle equals the square of the hypotenuse) put the Pythagorean school in a strong crisis. The discovery of irrational numbers is the first major crisis of mathematics. Many of the members of the Pythagorean school were massacred with 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 many years under this or that name. As may be understood from these records, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.

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