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Do not fill this in! == Associated mathematical sciences == [[File:Oldfaithful3.png|thumb|right|Applied mathematics has substantial overlap with statistics.]] Applied mathematics is associated with the following mathematical sciences: ===Engineering and technological engineering=== With applications of ''applied geometry'' together with applied chemistry. ===Scientific computing=== [[Scientific computing]] includes applied mathematics (especially [[numerical analysis]]<ref name="stoer"/><ref name="conte"/><ref name="green"/><ref name="linz"/><ref>Today, numerical analysis includes [[numerical linear algebra]], [[numerical integration]], and [[validated numerics]] as subfields.</ref>), [[computing science]] (especially [[high-performance computing]]<ref>Hager, G., & Wellein, G. (2010). Introduction to high performance computing for scientists and engineers. CRC Press.</ref><ref>Geshi, M. (2019). The Art of High Performance Computing for Computational Science, Springer.</ref>), and mathematical modelling in a scientific discipline. ===Computer science=== [[Computer science]] relies on [[logic]], [[algebra]], [[discrete mathematics]] such as [[graph theory]],<ref>West, D. B. (2001). Introduction to graph theory (Vol. 2). Upper Saddle River: Prentice Hall.</ref><ref>Bondy, J. A., & Murty, U. S. R. (1976). Graph theory with applications (Vol. 290). London: Macmillan.</ref> and [[combinatorics]]. ===Operations research and management science=== [[Operations research]]<ref>Winston, W. L., & Goldberg, J. B. (2004). Operations research: applications and algorithms (Vol. 3). Belmont: Thomson Brooks/Cole.</ref> 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. [[Statisticians|Statistical theorists]] study and improve statistical procedures with mathematics, and statistical research often raises mathematical questions. Statistical theory relies on [[Probability theory|probability]] and [[optimal decision|decision theory]], and makes extensive use of scientific computing, analysis, and [[Mathematical optimization|optimization]]; for the [[design of experiments]], statisticians use [[algebraic statistics|algebra]] and [[combinatorial design]]. Applied mathematicians and [[statistician]]s often work in a department of mathematical sciences (particularly at colleges and small universities). ===Actuarial science=== [[Actuarial science]] applies probability, statistics, and economic theory to assess risk in insurance, finance and other industries and professions.<ref>Boland, P. J. (2007). Statistical and probabilistic methods in actuarial science. CRC Press.</ref> ===Mathematical economics=== [[Mathematical economics]] is the application of mathematical methods to represent theories and analyze problems in economics.<ref>Wainwright, K. (2005). Fundamental methods of mathematical economics/Alpha C. Chiang, Kevin Wainwright. Boston, Mass.: McGraw-Hill/Irwin,.</ref><ref>Na, N. (2016). Mathematical economics. Springer.</ref><ref>Lancaster, K. (2012). Mathematical economics. Courier Corporation.</ref> 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 economics|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.<ref>Roberts, A. J. (2009). Elementary calculus of financial mathematics (Vol. 15). SIAM.</ref> According to the [[Mathematics Subject Classification]] (MSC), mathematical economics falls into the [[Mathematics Subject Classification#Applied mathematics / other|Applied mathematics/other]] classification of category 91: :Game theory, economics, social and behavioral sciences with [http://msc2010.org/mscwiki/index.php?title=MSC2010 MSC2010] classifications for '[[Game theory]]' at codes [http://msc2010.org/mscwiki/index.php?title=91Axx 91Axx] {{Webarchive|url=https://web.archive.org/web/20150402092147/http://msc2010.org/mscwiki/index.php?title=91Axx |date=2015-04-02 }} and for 'Mathematical economics' at codes [http://msc2010.org/mscwiki/index.php?title=91Bxx 91Bxx] {{Webarchive|url=https://web.archive.org/web/20150402155902/http://msc2010.org/mscwiki/index.php?title=91Bxx |date=2015-04-02 }}. ===Other disciplines=== The line between applied mathematics and specific areas of application is often blurred. Many universities teach mathematical and statistical courses outside the respective departments, in departments and areas including [[business]], [[engineering]], [[physics]], [[chemistry]], [[psychology]], [[biology]], [[computer science]], [[scientific computation]], [[information theory]], and [[mathematical physics]]. Summary: Please note that all contributions to Christianpedia may be edited, altered, or removed by other contributors. If you do not want your writing to be edited mercilessly, then do not submit it here. You are also promising us that you wrote this yourself, or copied it from a public domain or similar free resource (see Christianpedia:Copyrights for details). Do not submit copyrighted work without permission! Cancel Editing help (opens in new window) Discuss this page