A+ CATEGORY SCIENTIFIC UNIT

# Activities / Library / Books

## Mathematical Sciences Classification System

### 26Axx - 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
• 26A21
Classification of real functions; Baire classification of sets and functions [See also 03E15, 28A05, 54C50, 54H05]
• 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
• 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