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  2. Lists of mathematics topics - Wikipedia

    en.wikipedia.org/wiki/Lists_of_mathematics_topics

    Mathematicians study and research in all the different areas of mathematics. The publication of new discoveries in mathematics continues at an immense rate in hundreds of scientific journals, many of them devoted to mathematics and many devoted to subjects to which mathematics is applied (such as theoretical computer science and theoretical ...

  3. Applied mathematics - Wikipedia

    en.wikipedia.org/wiki/Applied_mathematics

    Schools with separate applied mathematics departments range from Brown University, which has a large Division of Applied Mathematics that offers degrees through the doctorate, to Santa Clara University, which offers only the M.S. in applied mathematics. [20] Research universities dividing their mathematics department into pure and applied ...

  4. List of numerical analysis topics - Wikipedia

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

    MAFELAP (MAthematics of Finite ELements and APplications) — international conference held at Brunel University; NAFEMS — not-for-profit organisation that sets and maintains standards in computer-aided engineering analysis; Multiphase topology optimisation — technique based on finite elements for determining optimal composition of a mixture

  5. Category:Applied mathematics - Wikipedia

    en.wikipedia.org/wiki/Category:Applied_mathematics

    Applied mathematics is a branch of mathematics that concerns itself with the application of mathematical knowledge to other domains. Such applications include numerical analysis, mathematics of engineering, linear programming, optimization and operations research, continuous modelling, mathematical biology and bioinformatics, information theory, game theory, probability and statistics ...

  6. Mathematical analysis - Wikipedia

    en.wikipedia.org/wiki/Mathematical_analysis

    It would be a few decades later that Newton and Leibniz independently developed infinitesimal calculus, which grew, with the stimulus of applied work that continued through the 18th century, into analysis topics such as the calculus of variations, ordinary and partial differential equations, Fourier analysis, and generating functions.

  7. List of real analysis topics - Wikipedia

    en.wikipedia.org/wiki/List_of_real_analysis_topics

    Convolution. Cauchy product –is the discrete convolution of two sequences; Farey sequence – the sequence of completely reduced fractions between 0 and 1; Oscillation – is the behaviour of a sequence of real numbers or a real-valued function, which does not converge, but also does not diverge to +∞ or −∞; and is also a quantitative measure for that.

  8. List of complex analysis topics - Wikipedia

    en.wikipedia.org/.../List_of_complex_analysis_topics

    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.

  9. List of fields of application of statistics - Wikipedia

    en.wikipedia.org/wiki/List_of_fields_of...

    Operations research (or operational research) is an interdisciplinary branch of applied mathematics and formal science that uses methods such as mathematical modeling, statistics, and algorithms to arrive at optimal or near optimal solutions to complex problems; Management science focuses on problems in the business world.