mathematics: Applied Mathematics

The term applied mathematics loosely designates a wide range of studies with significant current use in the empirical sciences. It includes numerical methods and computer science, which seeks concrete solutions, sometimes approximate, to explicit mathematical problems (e.g., differential equations, large systems of linear equations). It has a major use in technology for modeling and simulation. For example, the huge wind tunnels, formerly used to test expensive prototypes of airplanes, have all but disappeared. The entire design and testing process is now largely carried out by computer simulation, using mathematically tailored software. It also includes mathematical physics, which now strongly interacts with all of the central areas of mathematics. In addition, probability theory and mathematical statistics are often considered parts of applied mathematics. The distinction between pure and applied mathematics is now becoming less significant.

Sections in this article:

• Introduction
• In the Twentieth Century
• In the Nineteenth Century
• Western Developments from the Twelfth to Eighteenth Centuries
• Chinese and Middle Eastern Advances
• Greek Contributions
• Development of Mathematics
• Applied Mathematics
• Geometry
• Analysis
• Algebra
• Foundations
• Bibliography

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