| 单词 | functional analysis |
| 释义 | > as lemmasfunctional analysis functional analysis n. Mathematics †(a) (in quot. 1876) (perhaps) the application of mathematical functions to the study of the physical world (obsolete rare); (b) the branch of mathematics concerned with the study of mathematical analysis (analysis n. 5) in the setting of (typically infinite-dimensional) vector spaces (esp. function spaces). ΘΚΠ the world > relative properties > number > algebra > [noun] > expression > method of calculation or analysis extrapolation1872 functional analysis1876 inversion1880 Fourier analysis1929 formalism1940 linear programming1949 quadratic programming1951 simplex method1951 convex programming1963 deconvolution1967 1876 Addr. & Jrnl. Proc. National Educ. Assoc. U.S. 1876 129 The natural philosopher would tell him of pupils whom five, six, or seven years of training in pure mathematics had left incompetent to handle a simple question of Functional Analysis. 1927 Trans. Amer. Math. Soc. 29 136 We follow here the Stolz-Young definition of differential, whose applicability to functional analysis was emphasized by Fréchet. 1968 E. T. Copson Metric Spaces Pref. The theory of the topology of metric spaces..is not only the basis of functional analysis but also unifies many branches of classical analysis. 2014 Amer. Math. Monthly 121 167 Besides its many applications in functional analysis, the Banach–Alaoglu theorem has been applied to some other areas of mathematics. < as lemmas |
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