BOOK
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, allowing readers to clearly distinguish results that depend on it from those that do not. Designed to be accessible to advanced students and high school teachers interested in modernizing geometry instruction, the text includes numerous theorems, drawings, and exercises to reinforce the foundational material.
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