Description
Rational Geometry is a foundational textbook that presents the science of space through the lens of David Hilbert’s revolutionary mathematical foundations. Written by George Bruce Halsted, this rigorous work provides students and scholars with a systematic exploration of geometric principles built on logical axioms rather than intuitive assumptions.
The text covers essential concepts of Euclidean and non-Euclidean geometry, spatial relationships, and the fundamental theorems that underpin our understanding of geometric space. By grounding geometry in Hilbert’s axiomatic method, Halsted demonstrates how all geometric truths can be derived from a minimal set of fundamental principles.
This hardcover edition serves as both a classical reference and an educational resource for those seeking to understand geometry from first principles. It remains valuable for mathematicians, educators, and students pursuing advanced studies in mathematics and theoretical science.
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