Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry by Karol Borsuk

Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry by Karol Borsuk

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.

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.

SKU	Unavailable
ISBN 13	9780486828091
ISBN 10	0486828093
Title	Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry
Author	Karol Borsuk
Series	Dover Books On Mathematics Ser
Condition	Unavailable
Binding Type	Paperback
Publisher	Dover Publications Inc.
Year published	2018-12-28
Number of pages	448
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.