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This section surveys 26 Real functions and highlights the main ideas, methods, and applications associated with the area.
This subtopic studies functions of one variable, covering continuity, differentiability, variation, and the analytic behavior of real or complex-valued functions.
This subtopic studies functions of several variables, emphasizing partial derivatives, multivariable continuity, and geometric aspects of mappings between Euclidean spaces.
This subtopic studies polynomials and rational functions, focusing on algebraic structure, factorization, approximation, and extremal behavior.
This subtopic studies inequalities, including classical inequalities, convexity-based arguments, and methods for bounding expressions and operators.
This subtopic studies miscellaneous topics in real analysis and function theory, collecting specialized results and techniques that do not fit the main subclasses.