mathematical analysis

mathematical analysis
The mathematical study of functions, sequences, series, limits, derivatives and integrals.

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  • Mathematical analysis — Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and… …   Wikipedia

  • mathematical analysis — matematinė analizė statusas T sritis automatika atitikmenys: angl. mathematical analysis vok. mathematische Analyse, f rus. математический анализ, m pranc. analyse mathématique, f …   Automatikos terminų žodynas

  • mathematical analysis — matematinė analizė statusas T sritis fizika atitikmenys: angl. mathematical analysis vok. mathematische Analyse, f rus. математический анализ, m pranc. analyse mathématique, f …   Fizikos terminų žodynas

  • Chicago school (mathematical analysis) — In mathematics, the Chicago school of mathematical analysis is a school of thought which emphasizes the applications of Fourier analysis to the study of partial differential equations. Mathematician Antoni Zygmund cofounded the school with his… …   Wikipedia

  • Region (mathematical analysis) — In mathematical analysis, the word region usually refers to a subset of that is open (in the standard Euclidean topology), connected and non empty. A closed region is sometimes defined to be the closure of a region. Region and closed regions are… …   Wikipedia

  • Timeline of calculus and mathematical analysis — A timeline of calculus and mathematical analysis 1000 to 1500 * 1020 Abul Wáfa Discussed the quadrature of the parabola and the volume of the paraboloid. * 1021 Ibn al Haytham completes his Book of Optics , which formulated and solved “Alhazen s… …   Wikipedia

  • Domain (mathematical analysis) — In mathematical analysis, a domain is any connected open subset of a finite dimensional vector space. This is a different concept than the domain of a function, though it is often used for that purpose, for example in partial differential… …   Wikipedia

  • Bernstein's inequality (mathematical analysis) — In the mathematical theory of mathematical analysis, Bernstein s inequality, named after Sergei Natanovich Bernstein, is defined as follows.Let P be a polynomial of degree n with derivative P prime; . Then:max(P ) le ncdotmax(P) where we define… …   Wikipedia

  • Mathematical logic — (also known as symbolic logic) is a subfield of mathematics with close connections to foundations of mathematics, theoretical computer science and philosophical logic.[1] The field includes both the mathematical study of logic and the… …   Wikipedia

  • Analysis — (from Greek ἀνάλυσις , a breaking up ) is the process of breaking a complex topic or substance into smaller parts to gain a better understanding of it. The technique has been applied in the study of mathematics and logic since before Aristotle,… …   Wikipedia

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