The Origins of Mathematics
The Origins When and where is the origins of mathematics?
The origins of mathematics accompanied the evolution of social systems in many ways. The social development of any society requires some sort of calculation and number system. In the same way, the arithmetic operations are essential for the development and interaction between people. Words that describe numbers and operations that enable calculations are the basis for survival. The need to count how many animals where available for hunting, and the number of people that needed to be feed are just examples of the needs faced by a pre-historic man. All this require the need to develop words, sounds, or gestures that could be used to describe the numbers of objects and animals, also they had to develop a type of a counting system that could have allowed them to make the most basic mathematical operations, for example equal sharing of food. That can explain why the need of mathematics was so important just from the beginning of times, and how it has been the binding element that kept the early humans together and help them to coexist and develop into what we are today. Since the invention of a numbers and counting systems occurred when people started to live together and formed the first human society, mathematical scenes was the link that helped them to for societies and to develop a type of communication system and in a way help them to establish the first trading system which in turn,
According to document 4, Al-Khwarizmi, a Muslim mathematician wrote a textbook in the 800’s about algebra which was later adopted throughout Europe. Muslim mathematicians also adopted Arabic numerals from Indians and used them in place-value system. (Doc. 4) These mathematical advances also led to the creation of simple yet complicated structures. Also, after using their observations and their understanding of mathematics, Muslim scholars were able to make an advancement in mapmaking. They used astrolabe and armillary sphere to help study skies and make calculations for calendars and maps. (Doc.
Math, the perfect representation of limitless and infinite, was first used in the 1650 B.C to designed ancient architectures. Ancient Egyptians found out there was math in everything they have built, and if that was the case there would be nothing that can surpass math. Reading through The Simpsons and Their Mathematical Secrets by Simon Singh, have always made me wonder the history and reasoning behind mathematics. Throughout the development of The Simpsons, the character felted like a mystery; leaving the audience with what to believe and what to solve of the characters. In the novel, Simon Singh, J. Stewart Burns BS Mathematics, David S.Cohen BS Physics, Al Jean BS Mathematics, Ken Keeler BS Applied Mathematics, and Jeff Westbrook BS Physics take the audience back in time for the history of math.
In John Steinbeck’s Of Mice and Men, loneliness can be caused by race as shown in Crooks who is the only person on the ranch of color. When all the ranch workers left for the town Lennie stayed behind so he decided to walk around the ranch and he sees a man and wants to talk to him but, the man says he does not want Lennie to come in so they talk outside of his room. Lennie does not understand the idea of racism so he is different fromt the other ranch workers. Lennie starts to talk with Crooks and he says “well, I got a right to have a light, you go on get outta my room. I ain’t wanted in the bunkhouse, and you ain’t wanted in my room”(Steinbeck 68).
As one will see the spreading of the system was like a domino effect. “The Handy Math Answer Book” explains that the Arabs were among the first to adopt this counting arrangement from the Indians. India was able to pass on this counting system through the trade routes of Northern Africa, which caught the attention of Arabs inhabiting this area ( (Barnes-Svarney and Svarney ). Mathematicians, who learned about this new number system from the Arabs, began publish books that wrote about this easy to use system. The final turning point occurred during the 16th century.
The Indians created their own type of arithmetic called Bakhsali and they had to learn to solve fractions and multiply them. Hindus was one of the people to uses this math to solve many different problems like foiling and solving for x. Another important figure is Donald Knuth who came up with exponents they were originally pictured as 3 3. The more arrows placed in between the threes the more exponents were stacked on each other. Later on Kaplan shows a property of zero, he is setting quadratics equal to zero so they can be
Social and cultural values and ideas played a critical role from the Greeks to modern civilization. The legacy of Greek culture continues to influence our culture today. The Greeks introduced our modern civilization to numerous ideas and values. Some of them include detail to sculptures, patterns on pottery, and the introduction to materials that we still use today. Greek art, literature, and political thought have also influenced society for centuries, and still continue to influence us today.The Greeks set the foundations for modern civilization which include art,government,science,and sports.
Counting was one of the things that inspired mankind’s first efforts at mathematics. However, “the origins of numbers (counting) are cloaked in mystery…I think it’s safe to say that as civilization advanced numbers advanced with it; it is equally safe to say that civilization could not have advanced without it” (Law, 2012). In general, two possibilities have been accepted for the origins of counting. The first is called the “cardinal” in which primitive people asked basic questions like “how much or how many”. For example, early societies expressed the need to relate quantities, such as one wolf to one sheep and five warriors to five spears. Through this, quantifiers developed like “school of fish” or “pack of wolves”. The other possibility was the “ordinal”, which is related to hierarchy. This possibility comes from questions such as “Who eats first, second, etc.?” Whatever its origin we know that society required counting for its practical needs including: tallying, construction, planting, astronomy, taxes, and
The mathematical Golden Age of Islam had contributed many ideas, principles and concepts to math and, without it, modern mathematics would not be nearly as advanced. Before the Islamic empire made large progress in mathematics, people only knew how to finger count and use abacuses (Esposito pg 134). The main fields of mathematics they worked and made progress in was algebra and geometry. However, Islamic mathematicians also perfected a couple of concepts that are still consistently used today. Islamic mathematicians used many numerals and concepts that many people still used today.
Social stratification is the grouping of people according to their socioeconomic based on occupation, income, wealth as well as social status. Typically, social stratification is manifested into three social classes, which include; upper class, middle class as well as lower class. Egypt is highly stratified since the phenomenon is widely spread aiming to expose the components of life, which composes these social classes hence exploring the relationship between these classes. Therefore, this essay evaluates how social stratification in Egypt is more open to the people given that there is unequal distribution of resources in Egypt.
Logical-Mathematical Intelligence is the ability to “calculate, quantify, consider propositions and hypotheses, and carry out complete mathematical operations” (Gardener 1). Symbolic deductive and inductive thinking patterns are the result of this. Tallies of the Lebombo Bone portray the use of the oldest mathematical instrument of existence, found in 35,000 B.C.E. at the age of the Neanderthals. For counting the Neanderthals had 29 markings upon this baboon bone. A later Ishango Bone was found in 20,000 B.C.E. This shows that the complex algorithms solved today started from the counting upon bones in Neanderthals and early Homo sapiens.
Mathematics has contributed to the alteration of technology over many years. The most noticeable mathematical technology is the evolution of the abacus to the many variations of the calculator. Some people argue that the changes in technology have been for the better while others argue they have been for the worse. While this paper does not address specifically technology, this paper rather addresses influential persons in philosophy to the field of mathematics. In order to understand the impact of mathematics, this paper will delve into the three philosophers of the past who have contributed to this academic. In this paper, I will cover the views of three philosophers of mathematics encompassing their
The most fundamental contribution of India in mathematics is the invention of decimal system of enumeration, including the invention of zero. The decimal system uses nine digits (1 to 9) and the symbol zero (for nothing) to denote all natural numbers by assigning a place value to the digits. The Arabs carried this system to Africa and Europe.
Mathematics, like every creation of man, have evolved without really knowing how far you can get with them: the scope of the computer, physics, chemistry, algebra, all are evidence of this. Every aspect of our culture is based in some way or another in Mathematics: language, music, dance, art, sculpture, architecture, biology, daily life. All these areas of measurements and calculations are accurate. Even in nature, everything follows a precise pattern and a precise order: a flower, a shell, a butterfly, day and night, the seasons. All this makes mathematics essential for human life and they can not be limited only to a matter within the school curriculum; here lies the importance of teaching math in a pleasure, enjoyable and understandable way. Mathematics is an aid to the development of the child and should be seen as an aid to life and not as an obstacle in their lifes.
Counting began with the simple action of putting marks on a bone. “Numbers, and counting, began about 4,000 BC in Sumeria one of the earliest civilizations.” Also, algorithm I guess you could say; started with chickens…? Well, not really. “Their method of counting began as a series of tokens. [...] If a man had five chickens he was given five tokens. When he traded or killed one of his chickens, one of his tokens was removed.” It also seems like the people who
What is mathematics? What is the distinct definition for it? Something that always has bewildered me is what maths really is.