Math Journal Sundays – Bar Graphs – Pop-Up Bar graphs and double bar graphs for interactive math journals or as a stand-alone activity.
Mathematics is one of many 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 as time passes; it is no more possible to spell it out it in several sentences. What I have to express 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 as an art. From this perspective, the fact a work done, a developed theory works in one of the ways or another apart from mathematics does not concern them much. What matters for them is 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 a language. If the objective of science could be the universe; If it’s to comprehend, rule and direct everything in the universe, we must have the ability 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. In order to understand and interpret them, we must know the language of mathematics. In another aspect, mathematics is an intellectual game like chess.
Some mathematicians also view it as a game. Mathematics is only 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 do not think that those that cope with mathematics are more than we understand and perceive it from mathematics compared to the blind touched net understands and perceives the elephant. The phrase mathematics, for initially, BC. It absolutely was utilized by the members of the Pythagorean school in the 550s. His entry into 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, rather than the word mathematics, words that mean geometry, comparable to it in geometry or old languages were used.
It’s extremely hard to say anything definite about where and how mathematics started. When we take documents that are not based on archaeological findings that need interpretation, but open enough to require interpretation, We can say that it started between 3000 and 2000 in Egypt and Mesopotamia. According to 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 offers life to Egypt and forms the Nile delta. Therefore, these lands are really valuable. However, by the end of the floods caused by the Nile river annually, the boundaries of the landowners’lands become obscure. Because the landowners also pay taxes in proportion to the land they own, after each flood, the “geometricists” of their state, who’re responsible for these works, should come to take the mandatory 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. An additional opinion concerning the birth of mathematics is 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 necessity for measurement-calculation caused by Nile floods. At that time, the only intellectual class of countries such as for example Egypt was the priest class. Considering that the livelihood with this class is given by the public or the state, they have much time and energy to give intellectual pursuits. To keep them busy, they invented geometry and arithmetic, the mathematics of that time, just like others invented games like chess, bridge, and go&hellip ;.Both of these views may be true; priests desired to simplify the task of the geometric, or they found out how exactly to calculate the aspects of some geometric shapes such as for instance triangular and trapezoidal to check on that the distribution was fair, and in this manner resulted in the birth of geometry.
We will divide the written history of mathematics into five periods. The initial period is likely to 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 an amount of 1000 years, referred to as the Greek Mathematics period, between 500 years. The third 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 period we are surviving in, dating back once again to early 1900s, called age modern mathematics, will be the fifth period. I will try to provide details about the development of mathematics in that period, contributing mathematicians, the area of mathematics in social life and the essential options that come with mathematics because period.
We shall start the initial 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 second reason may 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, on average 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 term 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 own been hidden under exceptional circumstances. The main sources of our knowledge of Egyptian mathematics are both of these papyri. The first of the papyrus is really 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 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 book written to show math. In the introduction part, after having a few exercises given to instruct operations with fractional numbers, 87 questions are shown using their solutions. They are the type of questions people can encounter in everyday life, such as for instance sharing account, interest calculation, or finding the region of some geometric shapes. This is more or less our 8th grade mathematics. The next papyrus, known as the Moscow papyrus and now in the Moscow museum, is also BC. It is really 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. When it comes to other two questions, one could be the calculation of the amount and section of the surface of the sphere part cut by a plane. Another may be the question of finding the amount of a pyramid cut by way of a plane. Both questions were solved correctly. Those two questions are accepted as 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 only at that level for 2000 years and hasn’t made any significant progress.
B.C. 600s will be the years once the Persians started initially to dominate the middle 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 has been 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 earlier than this period. Two different people, Tales (624-547 BC) and Pythagoras (569-475 BC), are regarded as being 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. During Egypt, it is described in books where he calculates the height of the great pyramid by measuring along the shadow of the fantastic pyramid, multiplying this number by the ratio of its length to the size of the current shadow. After returning to Tales Milet, he taught them geometry by forming a group around him to instruct what he learned. It is assumed that abstract proof centered on reasoning, which will be not centered on mathematics – experimental verification, entered into Tales. Furthermore, Tales is the person who is considered the very first philosopher in human history. He was born on the island of Pythagoras Samos (Samos), another father of Greek mathematics. Pythagoras stayed with Tales for some time, 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 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 time for Samos, he created a college and tried to instruct 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 people of this school called “mathematics” live together and they’re connected to one another with oath. The second group consists of students attending school. Pythagoras school is founded on number cult. According to them, everything may 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 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 known as the Pythagorean theorem (the square of the best sides of a right triangle equals the square of the hypotenuse) put the Pythagorean school in a heavy crisis. The discovery of irrational numbers is the first major crisis of mathematics. Lots of the members of the Pythagorean school were massacred with a raid led with a big cyber named Cylon. Pythagoras saved his life, but after a couple of years he died. Pythagoras’thoughts, the Pythagorean school lived for several years under this or that name. As can be understood from this information, Egyptian and Mesopotamian mathematics are the cornerstone of Greek mathematics.