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Applied mathematics is closely related to other mathematical sciences. Scientific computing Scientific computing includes applied mathematics (especially numerical analysis), computing science (especially high-performance computing), and mathematical modelling in a scientific discipline. Computer science Computer science relies on logic, algebra, and combinatorics. Operations research and management science Operations research and management science are often taught in faculties of engineering, business, and public policy. Statistics Applied mathematics has substantial overlap with the discipline of statistics. Statistical theorists study and improve statistical procedures with mathematics, and statistical research often raises mathematical questions. Statistical theory relies on probability and decision theory, and makes extensive use of scientific computing, analysis, and optimization; for the design of experiments, statisticians use algebra and combinatorial design. Applied mathematicians and statisticians often work in a department of mathematical sciences (particularly at colleges and small universities). Actuarial science Actuarial science uses probability, statistics, and economic theory. Economics Main article: Mathematical economics Mathematical economics is the application of mathematical methods to represent theories and analyze problems in economic theory. By convention, the applied methods usually refer to nontrivial mathematical techniques or approaches. Mathematical economics is based on statistics & probability, mathematical programming (as well as other computational methods), operations research, game theory, and some methods from mathematical analysis. In this regard, it resembles (but is distinct from) financial mathematics, another part of applied mathematics. According to the Mathematics Subject Classification (MSC), mathematical economics falls into the Applied mathematics/other classification of category 91: Game theory, economics, social and behavioral sciences with MSC2010 classifications for 'Game theory' at codes 91Axx and for 'Mathematical economics' at codes 91Bxx. A detailed discussion about subject classifications within this subfield can be found here. Mathematical methods as delineated in related economics texts include the texts found at the following reading list. Other disciplines The line between applied mathematics and specific areas of application is often blurred. Many universities teach mathematical and statistical courses outside of the respective departments, in departments and areas including business, engineering, physics, chemistry, psychology, biology, computer science, scientific computation, and mathematical physics. |
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