Mathematics is the science of order and structure. It evolved from the elemental practices of measuring and counting objects. It is concerned with logic and quantitative calculation. The development of mathematics has seen an increase in abstraction and idealization of the subject matter. Mathematics has been an integral part of technology and the physical sciences since the 17th century. In recent years, it has played a similar role in quantitative life sciences.
In many cultures–under the stimulus of the needs of practical pursuits, such as commerce and agriculture–mathematics has developed far beyond basic counting. This has occurred in societies that are complex enough to support these activities, to allow for contemplation, and to continue to build upon the accomplishments of previous mathematicians.
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All mathematical systems, such as Euclidean geometry, are composed of sets of axioms or theorems that can logically be deduced from the set of axioms. Questions about the philosophical and logical basis of mathematics can be reduced to the question of whether the system’s axioms ensure its consistency and completeness. This aspect is fully covered in mathematics foundations of.
This article provides a history of mathematics, from ancient times to the present. Because of the rapid growth of science, the majority of mathematics is now developed after the 15th Century CE. It is also historical that most of the new developments in mathematics occurred in Europe and North America between the 15th and the 20th centuries. This article will focus on European developments since 1500.
However, this does not mean that other developments have been insignificant. It is essential to have a basic understanding of the history and development of mathematics in Europe. This includes knowledge about its past in Egypt and ancient Mesopotamia, as well as in Islamic civilizations from the 9th through the 15th centuries. This article will discuss the influence of these civilizations and the significant contributions that Islam and Greece made to the development of later times.
India’s contributions to modern mathematics development were made by the significant influence of Indian achievements in Islamic mathematics during its early years. South Asian mathematics is a separate article that focuses on the history of mathematics in India and the development of the modern decimal-place-value numeral system. The article East Asian Mathematics covers the independent development of mathematics in China and Korea, Vietnam, and Korea.
In several articles, we will discuss the substantive branches of mathematics. You can find algebra, analysis, combinatorics, game theory, geometry, number theory and optimization as well as statistics and trigonometry.
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