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"Analytic Functions" is a book category devoted to the theory and applications of holomorphic (complex-differentiable) functions and related topics in complex analysis and its extensions. Titles in this category range from introductory undergraduate textbooks covering basic concepts—complex numbers, Cauchy–Riemann equations, power series, Cauchy’s integral theorem and formula, residues and contour integration—to advanced monographs on analytic continuation, singularities, conformal mapping, Riemann surfaces, several complex variables, and connections with harmonic analysis, partial differential equations and analytic number theory. Books may be pedagogical lecture texts, problem collections, research-level treatments, or historical and applied accounts (e.g., physics and engineering uses of complex methods). Typical readers include mathematics undergraduates and graduates, researchers in pure and applied fields, and technically inclined practitioners; most titles assume calculus and basic real analysis as prerequisites.

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