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"Non-Euclidean Geometry" as a book category encompasses works that explore spaces and spatial reasoning that depart from the familiar rules of Euclidean geometry—most directly by rejecting or modifying the parallel postulate—and the ideas, history, and applications that flow from those alternatives. It includes rigorous textbooks and graduate treatments of hyperbolic, elliptic, and spherical geometries, accessible popular-science and history accounts that explain the discovery and philosophical impact of curved space (including its role in relativity), applied texts linking non‑Euclidean ideas to topology, cosmology, computer graphics, and architecture, and even fiction and art books that use non‑Euclidean or “impossible” spaces as a narrative or aesthetic device. The category signals material that challenges ordinary spatial intuition, introduces different geometric logics and measurements, and appeals to readers curious about the mathematical foundations and imaginative consequences of geometry beyond the flat plane.

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