Math Enrichment Camp A high quality summer program that provides a challenging b… | Math

Math Enrichment Camp A high quality summer program that provides a challenging b…

Math Enrichment Camp A high quality summer program that provides a challenging but fun educational environment for all students in a small group setting. T

MATHEMATIC HISTORY

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 over time; it’s no more possible to explain it in several sentences. What I have to say now will soon be words that emphasize its various aspects, as opposed to describe mathematics. In one aspect, mathematics is an art like painting and music. A large proportion of mathematicians perform it being an art. Out of this point of view, the fact that a work done, a developed theory works in one of the ways or another apart from mathematics does not concern them much. What matters in their mind could be the depth of the job done, the novelty of the methods used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is just a language. If the purpose of science may be the universe; If it’s to comprehend, rule and direct everything in the universe, we ought to 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 just a tool for its user. After entering it, we understand and perceive what mathematics is in your knowledge and in the direction of our interest. Mathematics has become far beyond the dimensions any human can rule. Therefore, I don’t believe that people who cope with 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 initially, BC. It was utilized by the members of the Pythagorean school in the 550s. His entry in to 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, equivalent to it in geometry or old languages ​​were used.

It is difficult to state anything definite about where and how mathematics started. If we take documents that aren’t based 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. Based on Heredotus (485-415 BC), mathematics were only available in Egypt. You may already know, 97% of the Egyptian lands aren’t suited to agriculture; It is 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 brought on by the Nile river every year, the boundaries of the landowners’lands become obscure. Considering that 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 mandatory measurements and supply the landowners as much land as they’d in the last year. Herodotus says that geometry has begun to emerge as a result of the measurements and calculations. A second opinion about the birth of mathematics is usually the one put forward by Aristotle (384-322 BC). In accordance with Aristotle, mathematics was created in Egypt. Nonetheless it came to be from the boredom of clergymen and priests, not the need for measurement-calculation brought on by Nile floods. During those times, the sole intellectual class of countries such as for instance Egypt was the priest class. Since the livelihood of the class is provided by people or their state, they have much time for you to give to intellectual pursuits. To 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 wished to simplify the job of the geometric, or they discovered how exactly to calculate the aspects of some geometric shapes such as for example triangular and trapezoidal to test that the distribution was fair, and this way led to the birth of geometry.

We will divide the written history of mathematics into five periods. The very first period will undoubtedly 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’ll cover an amount of 1000 years, referred to as 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, known as the golden age of mathematics, dating from 1700-1900. The time scale we are living in, dating back once again to the early 1900s, called age modern mathematics, will be the fifth period. I will endeavour to provide details about the development of mathematics because period, contributing mathematicians, the spot of mathematics in social life and the essential top features of mathematics for the reason that 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 major causes for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The 2nd reason may 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, typically 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 derived from the phrase papyrus. The average lifespan of a papyrus is 300 years; 300 years later, it is flaky because of moisture, heat and similar reasons. To date, two papyrus related to mathematics appear to possess been hidden under exceptional circumstances. The key sources of our knowledge of Egyptian mathematics are these two papyri. The first of these papyrus is 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 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 book written to instruct math. In the introduction part, after a few exercises given to teach operations with fractional numbers, 87 questions are given using their solutions. They are the sort of questions people can encounter in daily life, such as for example sharing account, interest calculation, or finding the region of ​​some geometric shapes. This is pretty much our 8th grade mathematics. The next papyrus, known 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 kind of questions in the Ahmes papyrus, with the exception of the two. When it comes to other two questions, one may be the calculation of the amount and section of ​​the surface of the sphere part cut by way of a plane. The other could be the question of finding the quantity of a pyramid cut by way of a plane. Both questions were solved correctly. These two questions are accepted as the pinnacle of Egyptian mathematics. The Egyptians seen that the location of ​​the circle was proportional to its diameter and found the amount 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 started to dominate the middle east. B.C. By the 550s, Persians are the sole 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 which was accepted as the start of Greek civilization. This date is the start of an extremely bright period in science, art and literature. Greek mathematics actually started earlier 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 known that he went to Egypt, stayed there for a time and learned geometry in Egypt. While in Egypt, it’s described in books where he calculates the height of the truly amazing pyramid by measuring the length of the shadow of the great pyramid, multiplying this number by the ratio of its length to along the existing shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to show what he learned. It’s assumed that abstract proof based on reasoning, which will be not predicated on mathematics – experimental verification, entered into Tales. In addition, Tales is the one who is known as the first philosopher in human history. He came to be on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for some time, visited Egypt following his advice, learned geometry there, visited Egyptian temples, learned religious information, and was taken up to Babylon by capturing the Persians throughout 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 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’re connected together with oath. The next group includes students attending school. Pythagoras school is founded on number cult. According in their mind, everything could 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 example 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 referred to as 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 initial major crisis of mathematics. Most of the members of the Pythagorean school were massacred by way of 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 may be understood from this information, Egyptian and Mesopotamian mathematics are the basis of Greek mathematics.

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