The History of Math
Mathematics, study of relationships among quantities, magnitudes, and properties and of logical operations by which unknown quantities, magnitudes, and properties may be deduced. In the past, mathematics was regarded as the science of quantity, whether of magnitudes, as in geometry, or of numbers, as in arithmetic, or of the generalization of these two fields, as in algebra. Toward the middle of the 19th century, however, mathematics came to be regarded increasingly as the science of relations, or as the science that draws necessary conclusions. This latter view encompasses mathematical or symbolic logic, the science of using symbols to provide an exact theory of logical deduction and inference based on definitions, axioms, postulates, and rules for combining and transforming primitive elements into more complex relations and theorems. This brief survey of the history of mathematics traces the evolution of mathematical ideas and concepts, beginning in prehistory. Indeed, mathematics is nearly as old as humanity itself; evidence of a sense of geometry and interest in geometric pattern has been found in the designs of prehistoric pottery and textiles and in cave paintings. Primitive counting systems were almost certainly based on using the fingers of one or both hands, as evidenced by the predominance of the numbers 5 and 10 as the bases for most number systems today. Ancient Mathematics The earliest records of advanced, organized mathematics date back to the ancient Mesopotamian country of Babylonia and to Egypt of the 3rd millennium BC. There mathematics was dominated by arithmetic, with an emphasis on measurement and calculation in geometry and with no trace of later mathematical concepts such as axioms or proofs. The earliest Egyptian texts, composed about 1800 BC, reveal a decimal numeration system with separate symbols for the successive powers of 10 (1, 10, 100, and so forth), just as in the system used by the Romans. Numbers were represented by writing down the symbol for 1, 10, 100, and so on as many times as the unit was in a given number. For example, the symbol for 1 was written five times to represent the number 5, the symbol for 10 was written six times to represent the number 60, and the symbol for 100 was written three times to represent the number 300. Together, these symbols represented the number 365. Addition was d...
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...eat impetus to areas of mathematics such as numerical analysis and finite mathematics. It has suggested new areas for mathematical investigation, such as the study of algorithms. It has also become a powerful tool in areas as diverse as number theory, differential equations, and abstract algebra. In addition, the computer has made possible the solution of several long-standing problems in mathematics, such as the four-color problem first proposed in the mid-19th century. The theorem stated that four colors are sufficient to color any map, given that any two countries with a contiguous boundary require different colors. The theorem was finally proved in 1976 by means of a large-scale computer at the University of Illinois. Mathematical knowledge in the modern world is advancing at a faster rate than ever before. Theories that were once separate have been incorporated into theories that are both more comprehensive and more abstract. Although many important problems have been solved, other hardy perennials, such as the Riemann hypothesis, remain, and new and equally challenging problems arise. Even the most abstract mathematics seems to be finding applications.
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Thoughts regarding math was on a very basic level and was simple for the Yupiaq. The Yupiaq do not think in additive or qualities of things. Since the Yupiaq were a tribe of hunter-gatherers, to use fish as an example, they would estimate what could fulfill their needs by acquiring enough that could fit in a box. They knew that the women could not clean any more fish than that in one day, so there was no need to take more than that. They also used math in the concept of time for traveling, basically how long it would
The surest foundation for the origin of science in its practical form is to be found in the ìco–rdination and standardization of the knowledge of common sense and of industry.î[1] One of the first occurrences of this co–rdination can be traced back to 2500 BCE in the form of edicts from the ancient Babylonian rulers, who issued royal standards of length, weight and capacity. Non-Semitic Sumerians also laid down the elements of mathematics and geometry at that time, making use of fractions, decimals, circles and radial angles. But knowledge as we know it today was tightly woven with magical notions, and as both spread westward they instilled in European thought a reverence for ìspecial numbers, their connections to the gods and the application of geometrical diagrams to the prediction of the future.î[2] As well, the ancient Babylonians were fascinated by the heavens. They were the first to make a map of the stars and associate them with animals like the Ram, Crab and Scorpion, names that we still use to this day. They also realized the periodicity and reliability of astronomical movement and phenomena, and were soon able to predict many of them. Tablets have been found dating to the sixth century BCE that predicted the relative positions of the sun and moon, as well as forecasted the occurrences of eclipses.[3] Out of all this knowledge the Babylonians built up a fantastic system of astrology, through which the starsówhich were thought to fix and foretell the course of human affairsówould give up their secrets.
Abstract: This paper gives an insight into the Mathematics used by the American Indians. The history of American Indians and how they incorporated mathematics into their lives is scarce. However from the information retrieved by Archeologists, we have an idea of the type of mathematics that was used by American Indians.
Geometry, a cornerstone in modern civilization, also had its beginnings in Ancient Greece. Euclid, a mathematician, formed many geometric proofs and theories [Document 5]. He also came to one of the most significant discoveries of math, Pi. This number showed the ratio between the diameter and circumference of a circle.
It is the 18th century and the Enlightenment, which is also known as the Age of Reason in Europe and America, and humankind faces an intellectual, philosophical and social movement that is focused on science and reason. Religion, politics and economics are changing focus. Wars are being fought within, as opposed to between countries. This time prior to the French Revolution finds monarchies being executed in France and England. The rising merchant class is demanding social and political power held previously by the nobility. There are major social changes, as inherited positions are less secure. People no longer believed that every event that occurred was a result of God’s intervention. There is a new way of thinking about religion, natural rights as well as natural laws. There is an attitude that God is the creator of a universe that functions without intervention. Deism believed in a hereafter, but also believed we should focus on this life’s achievements and joy, rather than look at a life in the hereafter. The concept of humanitarianism; helping those less fortunate, is a new concept during this time since prior to that the religious belief was that if someone experienced misfortune, it was God’s will and punishment. The Enlightenment focused on man, rather than God and the church. Where prior to the 1700s man lived in an agricultural society during the feudal period, the Enlightenment witnessed the development of a more cosmopolitan society, with people living in groups that were interdependent on each other. It opened the gateway to the Industrial Revolution. The Enlightenment inspired the world’s first democracy, in the United States of America. The new approach in reasoning and problem solving is what makes ...
Mathematics is everywhere we look, so many things we encounter in our everyday lives have some form of mathematics involved. Mathematics the language of understanding the natural world (Tony Chan, 2009) and is useful to understand the world around us. The Oxford Dictionary defines mathematics as ‘the science of space, number, quantity, and arrangement, whose methods, involve logical reasoning and use of symbolic notation, and which includes geometry, arithmetic, algebra, and analysis of mathematical operations or calculations (Soanes et al, Concise Oxford Dictionary,
The history of mathematics has its roots on the African continent. The oldest mathematical object was found in Swaziland Africa. The oldest example of arithmetic was found in Zaire. The 4000 year old, Moscow papyrus, contains geometry, from the Middle Kingdom of Egypt, Egypt was the cradle of mathematics. The great Greek mathematicians, including Pythagoras, Thales, and Exodus all acquired much of their mathematics from Egypt, including the notion of zero. This paper will discuss a brief history of mathematics in Africa. Starting with the Lebombo bone and the Ishango Bone, I will then present Egyptian mathematics and end with a discourse on Muslim mathematics in African. “Most histories of mathematics devote only a few pages to Africa and Ancient Egypt... Generally they ignore the history of mathematics in Africa … and give the impression that this history either did not exist or, at least …is not knowable.”
Calculus, the mathematical study of change, can be separated into two departments: differential calculus, and integral calculus. Both are concerned with infinite sequences and series to define a limit. In order to produce this study, inventors and innovators throughout history have been present and necessary. The ancient Greeks, Indians, and Enlightenment thinkers developed the basic elements of calculus by forming ideas and theories, but it was not until the late 17th century that the theories and concepts were being specified. Originally called infinitesimal calculus, meaning to create a solution for calculating objects smaller than any feasible measurement previously known through the use of symbolic manipulation of expressions. Generally accepted, Isaac Newton and Gottfried Leibniz were recognized as the two major inventors and innovators of calculus, but the controversy appeared when both wanted sole credit of the invention of calculus. This paper will display the typical reason of why Newton was the inventor of calculus and Leibniz was the innovator, while both contributed an immense amount of knowledge to the system.
Between 1850 and 1900, the mathematics and physics fields began advancing. The advancements involved extremely arduous calculations and formulas that took a great deal of time when done manually.
Burton, D. (2011). The History of Mathematics: An Introduction. (Seventh Ed.) New York, NY. McGraw-Hill Companies, Inc.
Thousands of years ago calculations were done using people’s fingers and pebbles that were found just lying around. Technology has transformed so much that today the most complicated computations are done within seconds. Human dependency on computers is increasing everyday. Just think how hard it would be to live a week without a computer. We owe the advancements of computers and other such electronic devices to the intelligence of men of the past.
Melville, Duncan J, Tokens: the origin of mathematics, St Lawrence University IT Retrieved January 19th 2014, from St Lawrence University: http://it.stlawu.edu/~dmelvill/mesomath/tokens.html
The history of math has become an important study, from ancient to modern times it has been fundamental to advances in science, engineering, and philosophy. Mathematics started with counting. In Babylonia mathematics developed from 2000B.C. A place value notation system had evolved over a lengthy time with a number base of 60. Number problems were studied from at least 1700B.C. Systems of linear equations were studied in the context of solving number problems.
The Nature of Mathematics Mathematics relies on both logic and creativity, and it is pursued both for a variety of practical purposes and for its basic interest. The essence of mathematics lies in its beauty and its intellectual challenge. This essay is divided into three sections, which are patterns and relationships, mathematics, science and technology and mathematical inquiry. Firstly, Mathematics is the science of patterns and relationships. As a theoretical order, mathematics explores the possible relationships among abstractions without concern for whether those abstractions have counterparts in the real world.
The pre- science phase unrolled in the ancient years. In those years science appeared in Egypt, Greece, India, etc. These ancient researchers put the bases for the development of science and gave to the society very important information about astronomy, mathematics, physics and medicine. In this phase we could report that the ideas were not very systematic. The theoretical development was in a very low level and so was the development in mathematics. The importance of this phase was the primitive discoveries that took place. (Dr. Nedeva Maria, Lecture “The story of science”, 2006)