Biblioteca Dr. Antonio Monteiro · Catálogo | |
26 | Real functions | ||
26-00 | General reference works (handbooks, dictionaries, bibliographies, etc.) | ||
26-01 | Instructional exposition (textbooks, tutorial papers, etc.) | ||
26-02 | Research exposition (monographs, survey articles) | ||
26-03 | Historical | ||
26-04 | Explicit machine computation and programs (not the theory of computation or programming) | ||
26-06 | Proceedings, conferences, collections, etc. | ||
26-99 | Real functions (not classified at a more specific level) | ||
26A | Functions of one variable | ||
26A03 | Foundations: limits and generalizations, elementary topology of the line | ||
26A06 | One-variable calculus | ||
26A09 | Elementary functions | ||
26A12 | Rate of growth of functions, orders of infinity, slowly varying functions [See also 26A48] | ||
26A15 | Continuity and related questions (modulus of continuity, semicontinuity, discontinuities, etc.) {For properties determined by Fourier coefficients, see 42A16; for those determined by approximation properties, see 41A25, 41A27} | ||
26A16 | Lipschitz (Hölder) classes | ||
26A18 | Iteration [See also 37Bxx, 37Cxx, 37Exx, 39B12, 47H10, 54H25] | ||
26A21 | Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50] | ||
26A24 | Differentiation (functions of one variable): general theory, generalized derivatives, mean-value theorems [See also 28A15] | ||
26A27 | Nondifferentiability (nondifferentiable functions, points of nondifferentiability), discontinuous derivatives | ||
26A30 | Singular functions, Cantor functions, functions with other special properties | ||
26A33 | Fractional derivatives and integrals | ||
26A36 | Antidifferentiation | ||
26A39 | Denjoy and Perron integrals, other special integrals | ||
26A42 | Integrals of Riemann, Stieltjes and Lebesgue type [See also 28-XX] | ||
26A45 | Functions of bounded variation, generalizations | ||
26A46 | Absolutely continuous functions | ||
26A48 | Monotonic functions, generalizations | ||
26A51 | Convexity, generalizations | ||
26A99 | None of the above, but in this section | ||
26B | Functions of several variables | ||
26B05 | Continuity and differentiation questions | ||
26B10 | Implicit function theorems, Jacobians, transformations with several variables | ||
26B12 | Calculus of vector functions | ||
26B15 | Integration: length, area, volume [See also 28A75, 51M25] | ||
26B20 | Integral formulas (Stokes, Gauss, Green, etc.) | ||
26B25 | Convexity, generalizations | ||
26B30 | Absolutely continuous functions, functions of bounded variation | ||
26B35 | Special properties of functions of several variables, Hölder conditions, etc. | ||
26B40 | Representation and superposition of functions | ||
26B99 | None of the above, but in this section | ||
26C | Polynomials, rational functions | ||
26C05 | Polynomials: analytic properties, etc. [See also 12Dxx, 12Exx] | ||
26C10 | Polynomials: location of zeros [See also 12D10, 30C15, 65H05] | ||
26C15 | Rational functions [See also 14Pxx] | ||
26C99 | None of the above, but in this section | ||
26D | Inequalities {For maximal function inequalities, see 42B25; for functional inequalities, see 39B72; for probabilistic inequalities, see 60E15} | ||
26D05 | Inequalities for trigonometric functions and polynomials | ||
26D07 | Inequalities involving other types of functions | ||
26D10 | Inequalities involving derivatives and differential and integral operators | ||
26D15 | Inequalities for sums, series and integrals | ||
26D20 | Other analytical inequalities | ||
26D99 | None of the above, but in this section | ||
26E | Miscellaneous topics [See also 58Cxx] | ||
26E05 | Real-analytic functions [See also 32B05, 32C05] | ||
26E10 | $C^\infty$-functions, quasi-analytic functions [See also 58C25] | ||
26E15 | Calculus of functions on infinite-dimensional spaces [See also 46G05, 58Cxx] | ||
26E20 | Calculus of functions taking values in infinite-dimensional spaces [See also 46E40, 46G10, 58Cxx] | ||
26E25 | Set-valued functions [See also 28B20, 54C60] {For nonsmooth analysis, see 49J52, 58Cxx, 90Cxx} | ||
26E30 | Non-Archimedean analysis [See also 12J25] | ||
26E35 | Nonstandard analysis [See also 03H05, 28E05, 54J05] | ||
26E40 | Constructive real analysis [See also 03F60] | ||
26E50 | Fuzzy real analysis [See also 03E72, 28E10] | ||
26E60 | Means [See also 47A64] | ||
26E99 | None of the above, but in this section |
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