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.

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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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Borsuk, Karol/ Szmielew, Wanda/ Marquit, Erwin (Translator)

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