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" Foundations of geometry : "
Karol Borsuk, Wanda Szmielew ; translated by Erwin Marquit.
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BL
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| Record Number
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878529
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| Main Entry
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Borsuk, Karol
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| Title & Author
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Foundations of geometry : : Euclidean, Bolyai-Lobachevskian, and projective geometry /\ Karol Borsuk, Wanda Szmielew ; translated by Erwin Marquit.
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| Publication Statement
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Mineola, New York :: Dover Publications,, 2018.
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| Series Statement
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Dover Books on Mathematics
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| Page. NO
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1 online resource (xiv, 444 pages) :: illustrations
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| ISBN
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048683557X
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: 9780486835570
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0486828093
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9780486828091
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| Notes
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Includes index.
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| Contents
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Axioms of incidence and order -- Axioms of congruence -- Axiom of continuity -- Models of absolute geometry -- Euclidean geometry -- Bolyai-Lobachevskian geometry -- Axioms of incidence and order -- Axiom of continuity -- Models of projective geometry.
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| Abstract
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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.
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| Subject
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Geometry-- Foundations.
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| Subject
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Geometry-- Foundations.
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MATHEMATICS-- Geometry-- General.
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| Dewey Classification
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516
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| LC Classification
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QA681.B633 2018eb
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| Added Entry
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Marquit, Erwin
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Szmielew, Wanda
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