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Book Cover
Author Borsuk, Karol, author.

Title Foundations of Geometry [electronic resource] : Euclidean, Bolyai-Lobachevskian, and Projective Geometry / Karol Borsuk.

Publication Info. [Place of publication not identified] : Dover Publications, [2018]


Description 1 online resource (464 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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Summary 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.
Note Print version record.
Access Digital content provided by Freading Ebook Service.
Subject Geometry -- Foundations.
Genre/Form Electronic books.
Added Author Szmielew, Wanda, author.
Freading (Firm)
Added Title Podstawy geometrii. English
Other Form: Print version: Borsuk, Karol. Foundations of geometry. Mineola, New York : Dover Publications, Inc., 2018. 9780486828091 (pbk.) (DLC)2018022377
ISBN 9780486835570 (epub)
Standard No. 9780486835570

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