Mrs. Rory Yakubov on Instagram: "π SIMPLIFYING RATIONALS ππΌ Your school year may be over, but we are still plugging away here in NJ!!" | Math

# Mrs. Rory Yakubov on Instagram: βπ SIMPLIFYING RATIONALS ππΌ Your school year may be over, but we are still plugging away here in NJ!!β

π SIMPLIFYING RATIONALS ππΌ Your school year may be over, but we are still plugging away here in NJ!!

MATHEMATIC HISTORY

Mathematics is one of many oldest sciences in human history. In ancient times, Mathematics was defined as the science of numbers and shapes. Mathematics, like other branches of science, has evolved over time; it’s no longer possible to describe it in a couple of sentences. What I have to state now will soon be words that emphasize its various aspects, rather than describe mathematics. In taking care of, mathematics is an art like painting and music. The great majority of mathematicians perform it as an art. From this standpoint, the fact that a work done, a developed theory works in one of the ways or another apart from mathematics doesn’t concern them much. What matters in their mind 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 goal of science is the universe; If it is to know, rule and direct everything in the universe, we should have the ability to read 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 is definitely an intellectual game like chess.

Some mathematicians also view it as a game. Mathematics is merely a tool for the 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 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 term mathematics, for the very 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 had been in the 380s. The term meaning is “what needs to be learned”, that’s, information. In the years before these dates, as opposed to the word mathematics, words that mean geometry, comparable to it in geometry or old languages ββwere used.

It’s extremely hard to express anything definite about where and how mathematics started. When we take documents that aren’t predicated 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 started in Egypt. Everbody knows, 97% of the Egyptian lands aren’t suitable for agriculture; It is the 3% portion that offers life to Egypt and forms the Nile delta. Therefore, these lands are really valuable. However, at the conclusion of the floods brought on by the Nile river each year, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after each and every flood, the βgeometricistsβ of the state, that are responsible for these works, should arrived at take the necessary measurements and supply the landowners as much land as they’d in the last year. Herodotus says that geometry has begun to emerge consequently 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 came to be in Egypt. However it came to be from the boredom of clergymen and priests, not the need for measurement-calculation due to Nile floods. At that time, the only intellectual class of countries such as for example Egypt was the priest class. Considering that the livelihood of the class is provided by the public or the state, they’ve much time for you to give 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 ;.These two views may be true; priests wished to simplify the work of the geometric, or they discovered just how to calculate the regions of some geometric shapes such as for example triangular and trapezoidal to test that the distribution was fair, and in this manner led to 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’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, known 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 beginning of calculus and will mainly cover European mathematics in the Hind, Islam and Renaissance era. The fourth semester will cover the classical mathematics era, referred to as the golden age of mathematics, dating from 1700-1900. The time scale we are living in, dating back once again to the first 1900s, called age modern mathematics, could be the fifth period. I will endeavour to provide information regarding the development of mathematics in that period, contributing mathematicians, the spot of mathematics in social life and the essential top features of mathematics because 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 can find two significant reasons for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The next reason may be the 3 big fires of the Alexandria libraries, the final of those fires happened during 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, on average 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 ββsuch as “Paper”, “papier” are derived from the word papyrus. The average lifespan of a papyrus is 300 years; 300 years later, it is flaky as a result of moisture, heat and similar reasons. Currently, two papyrus linked to mathematics appear to have been hidden under exceptional circumstances. The key sourced elements of our understanding of Egyptian mathematics are both of these papyri. The first of these papyrus is 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 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 show math. In the introduction part, after having a few exercises given to show operations with fractional numbers, 87 questions are made using their solutions. They’re the sort of questions people can encounter in lifestyle, such as for example sharing account, interest calculation, or finding the area of ββsome geometric shapes. This really is just about our 8th grade mathematics. The second papyrus, known as the Moscow papyrus and now in the Moscow museum, can also be BC. It is a booklet written in the 1600s. This papyrus contains 25 questions. These questions are of the sort 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 part of ββthe surface of the sphere part cut by a plane. Another may be the question of finding the quantity of a pyramid cut by a plane. Both questions were solved correctly. Those two questions are accepted because the pinnacle of Egyptian mathematics. The Egyptians seen that the region of ββ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 hasn’t made any significant progress.

B.C. 600s would be the years when the Persians started to dominate the center east. B.C. By the 550s, Persians are the only 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, annually later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 could be the date which was accepted as the start 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 the father of Greek mathematics. Tales Milet (AydΔ±n) was also born. It is known that he went along to Egypt, stayed there for a while and learned geometry in Egypt. While in Egypt, it is described in books where he calculates the height of the great pyramid by measuring the size of the shadow of the truly amazing pyramid, multiplying this number by the ratio of its length to the length of the current shadow. After time for Tales Milet, he taught them geometry by forming a group around him to show what he learned. It is assumed that abstract proof based on reasoning, which will be not based on mathematics – experimental verification, entered into Tales. Additionally, Tales is the person 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 a while, 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’s known. During his 5 years in Babylon, he learned mathematics, music and religious information, and after time for Samos, he created a school and tried to show 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 individuals of this school called “mathematics” live together and they’re connected together with oath. The second group includes students attending school. Pythagoras school is based on number cult. According to them, everything can be reduced to numbers; It has 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 example 1,2,3,β¦; and kes, ΒΎ,β¦ are 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 proper sides of the right triangle equals the square of the hypotenuse) put the Pythagorean school in a deep 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 way of a big cyber named Cylon. Pythagoras saved his life, but after a couple of years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As could be understood from these records, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.