Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry - Couverture souple

Borsuk, Karol

9780486828091: Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry

Couverture souple

ISBN 10 : 0486828093 ISBN 13 : 9780486828091

Editeur : Dover Publications Inc., 2018

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Pr�sentation de l'�diteur

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. Rigorous proofs appear throughout the text, and an Introduction provides background on topological space, analytic geometry, and other relevant topics.

Biographie de l'auteur

Karol Borsuk (1905 82) was a prominent Polish mathematician and expert on topology and shape theory. He taught at Warsaw University and was a member of the Polish Academy of Sciences.
Wanda Szmielew (1918 76) was a Polish mathematical logician who received her PhD at Berkeley in 1950, studying with Alfred Tarski. She is also the author of From Affine to Euclidean Geometry: An Axiomatic Approach.

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