Book Review: Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert

This review examines Mathematical Geography in the Eighteenth Century: Euler, Lagrange and Lambert, edited by Renzo Caddeo and Athanase Papadopoulos (Springer, 2022), a volume bringing together ten historical and mathematical essays alongside complete English translations of six foundational memoirs on cartography by Euler (four), Lagrange (one), and Lambert (one). The review assesses the volume’s mathematical depth across its core topics: Euler’s system of differential equations establishing the non-existence of perfect maps, the derivation of the Mercator and conformal projections via partial differential equations, Lagrange’s introduction of the Cauchy–Riemann equations and holomorphic functions into cartographic theory, and Lambert’s construction of conformal conical projections and area-preserving azimuthal maps. The volume is a serious scholarly resource that places these works in historical context while maintaining mathematical precision throughout.