Geometry and the Imagination (CHEL/87.H) (AMS Chelsea Publishing)
"[This] superb introduction to modern geometry was co-authored by David Hilbert, one of the greatest mathematicians of the 20th century." ---- Steven Strogatz, Cornell University"A fascinating tour of the 20th century mathematical zoo ... Anyone who would like to see proof of the fact that a sphere with a hole can always be bent (no matter how small the hole), learn the theorems about Klein's bottle--a bottle with no edges, no inside, and no outside--and meet other strange creatures of modern geometry, will be delighted with Hilbert and Cohn-Vossen's book." ---- Scientific American"Should provide stimulus and inspiration to every student and teacher of geometry." ---- Nature