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"Hyperbolic equations" as a book category covers texts on the theory, analysis, numerical methods and applications of hyperbolic partial differential equations and related first‑order systems — the mathematical models that describe wave propagation, transport and conservation laws. Works in this category typically treat linear and nonlinear hyperbolic problems (e.g., the wave equation, systems of conservation laws, Riemann problems and shock formation), the method of characteristics, well‑posedness and stability results, entropy solutions, and high‑resolution numerical schemes (finite difference/volume/element, discontinuous Galerkin, upwinding). Audience ranges from advanced undergraduates and graduate students learning foundational analysis and computational techniques to researchers and engineers using hyperbolic models in fluid dynamics, acoustics, electromagnetics, general relativity, traffic flow and other applied fields; prerequisites usually include basic PDEs, real/functional analysis and numerical analysis. The category includes introductory textbooks, rigorous monographs, applied/engineering treatments and collections of recent research.

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