Foundations of Three-Dimensional Euclidean Geometry

This textbook, part of the Pure and Applied Mathematics series (Volume 56), presents a modern, rigorous axiomatic construction of three-dimensional Euclidean geometry. Vaisman employs a graduated formulation of axioms—including incidence, order, and congruence—to characterize Euclidean space up to an isomorphism. A distinctive feature is the early introduction of the parallel axiom, allowin…