History of Mathematics

History of Math
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Introduction
Mathematics study is a demonstrative discipline that was started with the Pythagoreans in the 6th century BC, and were the people who coined “mathematics” as a term from the ancient Greek mathema, which meant “subject of instruction.” Islamic mathematics was also established and expanded the mathematics acknowledged to these civilizations. Some early examples of counting are considered to date from the 30,000 B.C. which qualifies counting as one of the earliest forms of mathematics. Counting itself was believed to be a simple accounting device that measured or identified quantity. However, the belief is said to be basic, even primitive, that it was not possible to consider it as either a science or subject. In this regard, this paper will provide a portfolio for mathematics history focusing on the content areas, representation of numbers, and proofs surrounding the Pythagoras Theorem, and the irrationality in square root of two.
Part 1: The Content Ares in Math
* Number and Quantity
The description of quantity can be done by use of numbers, for example, 28 pages of reading. The expression of these numbers can be done as fractions, whole numbers, percentages, decimals, and units of measurements like weight, money, length, and time. In addition, the expression of quantities can be done in non-standard units. The Egyptians are believed to be the first people who invented numbers, which they did through a first ciphered numeral system, and the Greeks were second with mapping of counting numbers onto Ionian and Doric alphabets. The discovery of numbers contributed to the origin of Number Theory in the B. Cs, which was done by Euclid of Alexandria. He was an extraordinary mathematician who was also known to many as “the Father of Geometry” and he put forth one of the oldest algorithms recorded as historic.
In mathematics, quantity as a concept is an ancient discovery made in the Aristotle era and earlier. The relationship between quantity and numbers is said to be one in that numbers are used to quantify; meaning, they show or explain the exact amount in form of measurement and counting. The contribution of quantity and numbers in mathematics help to define the actual measure of number in question. For example, quantity is used to determine the number of oranges present in a basket or the number of rotten apples in a basket. In other words, quantity is something such as symbol or number that represents a number on which a mathematical process is achieved. The two types of quantities; magnitude (how much) and multitude (how many), can be divided further as physical and mathematical. In proper understanding, quantities (their order and formal relationships of inequality and equality, proportions, and ratios) are studied by math.
* Algebra
Algebra is recognized as one of the extensive areas in math, in conjunction with geometry and analysis, and number theory. Generally, algebra is understood as the study of mathematical symbols and the rules used in the manipulation of these symbols; it is a uniting thread of just about every aspect in mathematics. Tracing the discovery of algebra goes back to the ancient Babylonians, who we...