Free Mathematics Ebook – Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry

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(Dover Books on Arithmetic)

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Writer : Karol Borsuk
Isbn : 9780486828091
File measurement : 35MB
Yr : 2018
Pages : 464
Language : English
File format : PDF
Class : Mathematics

E-book Description:

In Half Considered one of this complete and incessantly cited remedy, the authors develop Euclidean and Bolyai-Lobachevskian geometry on the premise of an axiom system due, in precept, to the work of David Hilbert. Half Two develops projective geometry in a lot the identical manner. An Introduction gives background on topological area, analytic geometry, and different related subjects, and rigorous proofs seem all through the textual content. Matters lined by Half One embrace axioms of incidence and order, axioms of congruence, the axiom of continuity, fashions of absolute geometry, and Euclidean geometry, culminating within the remedy of Bolyai-Lobachevskian geometry. Half Two examines axioms of incidents and order and the axiom of continuity, concluding with an exploration of fashions of projective geometry.

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