Fraction Number Puzzles Number Puzzles – NF • What I Have Learned | Math

Fraction Number Puzzles Number Puzzles – NF • What I Have Learned

MATHEMATIC HISTORY

Mathematics is one of 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 over time; it is no further possible to spell it out it in several sentences. What I’ve to express now is going to be words that emphasize its various aspects, as opposed to describe mathematics. In taking care of, mathematics is an art form like painting and music. The great majority of mathematicians perform it as an art. Using this perspective, the fact that a work done, a developed theory works in one way or another besides 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 a language. If the purpose of science is the universe; If it’s to know, rule and direct everything in the universe, we should 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. In order 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 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 genuinely believe that people who handle mathematics are far more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The word mathematics, for the first time, BC. It absolutely was employed by the members of the Pythagorean school in the 550s. His entry into the written literature, with Plato BC. It absolutely was in the 380s. The term meaning is “what needs to be learned”, that is, information. In the years before these dates, rather than the word mathematics, words which means that geometry, equal to it in geometry or old languages ​​were used.

It is difficult to express anything definite about where and how mathematics started. When we take documents that are not centered on archaeological findings that need interpretation, but open enough to require interpretation, We could say so it started between 3000 and 2000 in Egypt and Mesopotamia. Based on Heredotus (485-415 BC), mathematics were only available in Egypt. You may already know, 97% of the Egyptian lands are not ideal for agriculture; It is the 3% portion that gives life to Egypt and forms the Nile delta. Therefore, these lands are really 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’re accountable for these works, should come to take the required measurements and give the landowners just as much land as they had in the previous year. Herodotus says that geometry has begun to emerge as a result of those measurements and calculations. Another opinion about the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics was born in Egypt. However it was created out from the boredom of clergymen and priests, not the necessity for measurement-calculation brought on by Nile floods. In those days, the sole intellectual class of countries such as for instance Egypt was the priest class. Since the livelihood of this class is supplied 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 the period, just as others invented games like chess, bridge, and go&hellip ;.Both these views might be true; priests wanted to simplify the work of the geometric, or they discovered how to calculate the regions of some geometric shapes such as for instance triangular and trapezoidal to check that the distribution was fair, and in this way resulted in the birth of geometry.

We shall divide the written history of mathematics into five periods. The first period is likely to be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover a period of 1500-2000 years between 500s. The 2nd period, BC. 500-M.S. It will cover a period of 1000 years, referred to as the Greek Mathematics period, between 500 years. The third 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, known as the golden age of mathematics, dating from 1700-1900. The period we’re surviving in, dating back to the first 1900s, called the age of modern mathematics, could be the fifth period. I will endeavour to offer information regarding the development of mathematics for the reason that period, contributing mathematicians, the area 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. You will find 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 those fires happened during 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, normally 15-25 meters long and 30-50 inches wide. These leaves were used to publish text in place of 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’s flaky as a result of moisture, heat and similar reasons. To date, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The key sources of our knowledge of Egyptian mathematics are these two papyri. The initial of those papyrus is really a 6-meter long and 35-cm wide papyrus called the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is just 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 teach math. In the introduction part, following a few exercises given to teach operations with fractional numbers, 87 questions get with their solutions. They’re the type 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 just about our 8th grade mathematics. The 2nd 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 type of questions in the Ahmes papyrus, with the exception of the two. When it comes to other two questions, one is the calculation of the amount and section of ​​the surface of the sphere part cut with a plane. Another could be the question of finding the quantity of a pyramid cut by a plane. Both questions were solved correctly. Those two questions are accepted while the pinnacle of Egyptian mathematics. The Egyptians realized that the region 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 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, annually later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 is the date which was accepted as the start 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. 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 he went to Egypt, stayed there for a time and learned geometry in Egypt. Whilst 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 current shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to teach what he learned. It’s assumed that abstract proof predicated on reasoning, that is not based on mathematics – experimental verification, entered into Tales. Additionally, Tales is the one who is known as 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 along 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 is 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 show 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 each other with oath. The 2nd group consists of students attending school. Pythagoras school is based on number cult. According to them, everything can be reduced to numbers; It comes with 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,… 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 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. Lots of the members of the Pythagorean school were massacred with 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 many years under this or that name. As could be understood from this information, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.

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