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Foundations of Geometry
Karol BorsukWanda Szmielew
其他書名
Euclidean, Bolyai-Lobachevskian, and Projective Geometry
出版Courier Dover Publications, 2018-11-14
主題Mathematics / Geometry / General
ISBN048683557X9780486835570
URLhttp://books.google.com.hk/books?id=aLt2DwAAQBAJ&hl=&source=gbs_api
EBookSAMPLE
註釋In Part One of this comprehensive and frequently cited treatment, the authors develop Euclidean and Bolyai-Lobachevskian 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 Bolyai-Lobachevskian geometry. Part Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of models of projective geometry.