Math class work (class 2) of the Mathiki online camp on the topics: multiplication tables, division up to 100 … All class work consists of exercise sheets and the associated solutions. Just have a look! Worth it. #Class work #Class work #2nd grade
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 is no more possible to explain it in a couple of sentences. What I have to say now is going to be words that emphasize its various aspects, rather than describe mathematics. In one aspect, mathematics is an art form like painting and music. A large proportion of mathematicians perform it being an art. From this perspective, the fact a work done, a developed theory works in one of the ways or another besides mathematics does not concern them much. What matters to them could be the depth of the task 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 objective of science may be the universe; If it’s to understand, rule and direct everything in the universe, we ought to manage 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 is definitely an intellectual game like chess.
Some mathematicians also see it as a game. Mathematics is just a tool because of its user. After entering it, we understand and perceive what mathematics is within our knowledge and in the direction of our interest. Mathematics has become far beyond the dimensions any human can rule. Therefore, I do not believe those who cope with mathematics tend to be 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 in to the written literature, with Plato BC. It had been 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, comparable to it in geometry or old languages were used.
It’s extremely hard to express anything definite about where and how mathematics started. When we take documents that aren’t based on archaeological findings that need interpretation, but open enough to require interpretation, We could say that it started between 3000 and 2000 in Egypt and Mesopotamia. Based on Heredotus (485-415 BC), mathematics started in Egypt. You may already know, 97% of the Egyptian lands aren’t suitable for agriculture; It’s the 3% portion that gives life to Egypt and forms the Nile delta. Therefore, these lands are incredibly valuable. However, by the end of the floods brought on by the Nile river annually, the boundaries of the landowners’lands become obscure. Since the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of their state, who’re in charge of these works, should arrive at take the required measurements and supply the landowners just as much land as they’d in the previous year. Herodotus says that geometry has begun to emerge as a result of the measurements and calculations. An additional 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. Nonetheless it was created out from the boredom of clergymen and priests, not the requirement for measurement-calculation caused by Nile floods. At that time, the only real intellectual class of countries such as for example Egypt was the priest class. Since the livelihood of this class is supplied by the public or their state, they have much time to give intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that point, just as others invented games like chess, bridge, and go&hellip ;.Both these views might be true; priests desired to simplify the job of the geometric, or they found out just how to calculate the regions of some geometric shapes such as triangular and trapezoidal to check that the distribution was fair, and this way generated the birth of geometry.
We will divide the written history of mathematics into five periods. The very first period is likely to be Egypt and Mesopotamia; this period BC In 2000s BC. It’ll cover an amount of 1500-2000 years between 500s. The next 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 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’re residing in, dating back again to the first 1900s, called the age of modern mathematics, will be the fifth period. I will attempt to provide details about the development of mathematics because period, contributing mathematicians, the spot of mathematics in social life and the fundamental 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 foremost is that the ancient Egyptians wrote the writing on papyrus; The 2nd reason could be the 3 big fires of the Alexandria libraries, the past of these fires happened during 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 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 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. Up to now, two papyrus linked to mathematics appear to have been hidden under exceptional circumstances. The main resources of our understanding of Egyptian mathematics are these two papyri. The initial of the papyrus is 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 just a copy written 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, after having a few exercises given to instruct operations with fractional numbers, 87 questions are given with their solutions. They are the type of questions people can encounter in daily life, such as for instance sharing account, interest calculation, or finding the location of some geometric shapes. That is more or less our 8th grade mathematics. The next papyrus, referred to as 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 kind of questions in the Ahmes papyrus, with the exception of the two. Are you aware that other two questions, one is the calculation of the amount and section of the surface of the sphere part cut by a plane. One other could be the question of finding the amount of a pyramid cut with a plane. Both questions were solved correctly. These two questions are accepted since the pinnacle of Egyptian mathematics. The Egyptians realized that the area 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’s understood that Egyptian mathematics has remained only at that level for 2000 years and hasn’t made any significant progress.
B.C. 600s are the years once 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, a year later, in 479, Greeks expelled the Persians from Greece. This date BC. 479 is the date which was accepted as the beginning of Greek civilization. This date is the beginning of an extremely bright period in science, art and literature. Greek mathematics actually started prior to when this period. Two different people, Tales (624-547 BC) and Pythagoras (569-475 BC), are considered to be 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. During Egypt, it is described in books where he calculates the height of the great pyramid by measuring the size of the shadow of the great 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 a group around him to show what he learned. It’s assumed that abstract proof based on reasoning, that is not predicated on mathematics – experimental verification, entered into Tales. In addition, Tales is the person who is considered the very 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 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 show the folks 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’re connected together with oath. The 2nd group includes students attending school. Pythagoras school is founded on number cult. According for them, everything may be reduced to numbers; It posseses an unusually perfect harmony among numbers, and harmony is 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 proper sides of a right triangle equals the square of the hypotenuse) put the Pythagorean school in a deep crisis. The discovery of irrational numbers is the very first major crisis of mathematics. Many 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 a couple of years he died. Pythagoras’thoughts, the Pythagorean school lived for quite some time under this or that name. As can be understood from these records, Egyptian and Mesopotamian mathematics are the foundation of Greek mathematics.