Catch Hold Of Foundations Of Geometry: Euclidean, Bolyai-Lobachevskian, And Projective Geometry Written By Karol Borsuk In Print

on Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry


Catch Hold Of Foundations Of Geometry: Euclidean, Bolyai-Lobachevskian, And Projective Geometry Written By Karol Borsuk In Print
In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and BolyaiLobachevskian geometry on the basis of an axiom system due, in principle, to the work of David Hilbert.
Part Two develops projective geometry in much the same way, An Introduction provides background on topological space, analytic geometry, and other relevant topics, and rigorous proofs appear throughout the text,
Topics covered by Part One include axioms of incidence and order, axioms of congruence, the axiom of continuity, models of absolute geometry, and Euclidean geometry, culminating in the treatment of BolyaiLobachevskian geometry.
Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry.
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