Using Integer Collection Models poster | matizl to | Math

Using Integer Collection Models poster | matizl to

Using Integer Collection Models poster | matizl to #integer #maths #addition

MATHEMATIC HISTORY

Mathematics is one of the oldest sciences in human history. In ancient times, Mathematics was defined whilst the science of numbers and shapes. Mathematics, like other branches of science, has evolved with time; it is no more possible to spell it out it in a few sentences. What I’ve to say now will undoubtedly be words that emphasize its various aspects, rather than describe mathematics. In one aspect, mathematics is a skill like painting and music. The great majority of mathematicians perform it being an art. From this standpoint, the fact 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 techniques used, the aesthetic value and the usefulness of mathematics in itself. Mathematics, in another aspect, is really a language. If the objective of science could be the universe; If it is to comprehend, rule and direct everything in the universe, we must 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 notice it as a game. Mathematics is only 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 has become far beyond the dimensions any human can rule. Therefore, I don’t believe that people who deal with mathematics are more than we understand and perceive it from mathematics compared to blind touched net understands and perceives the elephant. The phrase 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 phrase meaning is “what must 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’s not possible to state anything definite about where and how mathematics started. When we take documents which are not predicated on archaeological findings that require interpretation, but open enough to require interpretation, We could say that it started between 3000 and 2000 in Egypt and Mesopotamia. In accordance with Heredotus (485-415 BC), mathematics started in Egypt. You may already know, 97% of the Egyptian lands aren’t ideal for agriculture; It’s the 3% portion that provides life to Egypt and forms the Nile delta. Therefore, these lands are extremely valuable. However, by the end of the floods caused by the Nile river each year, 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 the state, who’re in charge of these works, should arrive at take the necessary measurements and supply the landowners as much land as they had in the previous year. Herodotus says that geometry has begun to emerge consequently of those measurements and calculations. A second opinion about the birth of mathematics is the main one put forward by Aristotle (384-322 BC). According to 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 brought on by Nile floods. At that time, the sole intellectual class of countries such as for example Egypt was the priest class. Considering that the livelihood with this class is supplied by the general public or the state, they’ve much time and energy to share with intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that time, just as others invented games like chess, bridge, and go&hellip ;.These two views might be true; priests desired to simplify the task of the geometric, or they discovered just how to calculate the areas of some geometric shapes such as for example triangular and trapezoidal to check on that the distribution was fair, and this way resulted in the birth of geometry.

We will divide the written history of mathematics into five periods. The very first period will 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 will cover a period of 1000 years, called the Greek Mathematics period, between 500 years. The next term, M.S. It will 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 we’re living in, dating back once again to the early 1900s, called the age of modern mathematics, will be the fifth period. I will attempt to give information regarding the development of mathematics because period, contributing mathematicians, the spot of mathematics in social life and the basic options that come with mathematics in 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. There are two main reasons for this. The very first is that the ancient Egyptians wrote the writing on papyrus; The next reason could be the 3 big fires of the Alexandria libraries, the past of those fires happened through 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 ​​such as “Paper”, “papier” are produced from the word papyrus. The common lifespan of a papyrus is 300 years; 300 years later, it is flaky due to moisture, heat and similar reasons. To date, two papyrus linked to mathematics appear to own been hidden under exceptional circumstances. The key sourced elements of our knowledge of Egyptian mathematics are these two papyri. The initial of those papyrus is a 6-meter long and 35-cm wide papyrus known as the Ahmes (or Rhind) papyrus. This papyrus, BC. You’re a puree written in 2000s, BC. It is just 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 having a few exercises given to teach operations with fractional numbers, 87 questions are shown making use of their solutions. They’re the type of questions people can encounter in daily life, such as sharing account, interest calculation, or finding the region of ​​some geometric shapes. That is just about our 8th grade mathematics. The 2nd papyrus, called 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, except for the two. As for the other two questions, one is the calculation of the quantity and area of ​​the surface of the sphere part cut by way of a plane. Another could be the question of finding the amount of a pyramid cut by a plane. Both questions were solved correctly. Both of these questions are accepted since the pinnacle of Egyptian mathematics. The Egyptians seen that the area 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 only at that level for 2000 years and hasn’t made any significant progress.

B.C. 600s would be the years once the Persians started to dominate the center east. B.C. By the 550s, Persians are the only real 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, 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 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 known that he went 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 truly amazing pyramid by measuring the length of the shadow of the fantastic pyramid, multiplying this number by the ratio of its length to the size of the present shadow. After returning to Tales Milet, he taught them geometry by forming friends around him to show what he learned. It’s assumed that abstract proof predicated on reasoning, that is not centered on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the one who is considered the initial 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 a 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 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 show individuals 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 folks of this school called “mathematics” live together and they are connected to one another with oath. The second group contains students attending school. Pythagoras school is founded on number cult. According to them, everything may 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 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 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 strong 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 few 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 cornerstone of Greek mathematics.

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