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"Modular forms" as a book category covers the theory and applications of special complex-analytic functions on the upper half-plane that transform in prescribed ways under the action of modular groups (like SL2(Z)). Works in this category range from introductory texts and problem books that develop the classical theory—Fourier expansions, Eisenstein and cusp forms, Hecke operators, and q-expansions—to advanced monographs on automorphic forms, L‑functions, Galois representations, the modularity theorem, and connections to elliptic curves, arithmetic geometry, and mathematical physics (e.g., moonshine, string theory). Typical readers are advanced undergraduates, graduate students, and researchers with backgrounds in complex analysis, algebra, and number theory; books may be expository, computational, or research-oriented and often include exercises, examples, and applications to modern problems in arithmetic and geometry.

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