Foundations of Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry: Euclidean, Bolyai-Lobachevskian, and Projective Geometry (Dover Books on Mathematics) - Softcover

Borsuk, Karol

Softcover

ISBN 10: 0486828093 ISBN 13: 9780486828091

Publisher: Dover Publications Inc, 2018

Synopsis

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.

About this title

About the Author

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.

Edition details

• Publisher: Dover Publications Inc
• Publication date: 2018
• ISBN 10: 0486828093
• ISBN 13: 9780486828091
• Binding: Paperback
• Language: English
• Number of pages: 448