The most ancient written records from every culture show forms of measurement and basic arithmetic. Mathematics first arose out of the need to do calculations in commerce, to understand the relationships between numbers, to measure land, and to predict astronomical events. The history of mathematics ranges from Babylonian mathematics with its hexasegimal (base 60) system dating back 4,000 years, to Euclidean Geometry which dates to 300 B.C. and to modern calculus created by Isaac Newton and Liebniz in 1666.
The development of physics has always been intertwined with mathematics and measurements. Mathematics and measurement are the basic testing ground for determining the usefulness of a theory.
Mathematics can be broadly subdivided into the study of quantity, structure, space, and change (i.e. arithmetic, algebra, geometry and analysis). Each of these broad fields of mathematics has branched out into more abstract and complex forms due to the nature of the complex systems they must explain. Mathematical shorthand has been invented to create simple notations to denote not only simple values, but entire formulas, systems, or algorithms.
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