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  2. Applied mathematics - Wikipedia

    en.wikipedia.org/wiki/Applied_mathematics

    Applied mathematics is the application of mathematical methods by different fields such as physics, engineering, medicine, biology, finance, business, computer science, and industry. Thus, applied mathematics is a combination of mathematical science and specialized knowledge.

  3. List of complex analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_complex_analysis...

    Complex analysis, traditionally known as the theory of functions of a complex variable, is the branch of mathematics that investigates functions of complex numbers.It is useful in many branches of mathematics, including number theory and applied mathematics; as well as in physics, including hydrodynamics, thermodynamics, and electrical engineering.

  4. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    Differential equations are an important area of mathematical analysis with many applications in science and engineering. Analysis is the branch of mathematics dealing with continuous functions , limits , and related theories, such as differentiation , integration , measure , infinite sequences , series , and analytic functions .

  5. List of numerical analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_numerical_analysis...

    Surrogate model — application: replacing a function that is hard to evaluate by a simpler function; Constructive function theory — field that studies connection between degree of approximation and smoothness; Universal differential equation — differential–algebraic equation whose solutions can approximate any continuous function

  6. Engineering mathematics - Wikipedia

    en.wikipedia.org/wiki/Engineering_mathematics

    Historically, engineering mathematics consisted mostly of applied analysis, most notably: differential equations; real and complex analysis (including vector and tensor analysis); approximation theory (broadly construed, to include asymptotic, variational, and perturbative methods, representations, numerical analysis); Fourier analysis; potential theory; as well as linear algebra and applied ...

  7. Portal:Mathematics - Wikipedia

    en.wikipedia.org/wiki/Portal:Mathematics

    Mathematics is the study of representing and reasoning about abstract objects (such as numbers, points, spaces, sets, structures, and games).Mathematics is used throughout the world as an essential tool in many fields, including natural science, engineering, medicine, and the social sciences.

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  9. Computational mathematics - Wikipedia

    en.wikipedia.org/wiki/Computational_mathematics

    Computational mathematics is the study of the interaction between mathematics and calculations done by a computer. [ 1 ] A large part of computational mathematics consists roughly of using mathematics for allowing and improving computer computation in areas of science and engineering where mathematics are useful.

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