When old Mr. Hilbert takes his morning walk through the hotel, he never reaches the end because there is no end: as far as he walks through the corridors, as high as he climbs in the building, there are always more rooms in front of him and more floors above him.

How can a hotel always have room for more, even when all the rooms are full? It can if it's Hotel Infinity on the faraway planet of Numberland. While their cat looks on in growing confusion, hotel proprietors Mr. and Mrs. Hilbert manage feats of hospitality impossible anywhere else in the galaxy—with some help from Zero.

Based on the concept of infinity as described by mathematicians Georg Cantor (1845-1918) and David Hilbert (1862-1943), Ivar Ekeland's lively text and John O'Brien's charmingly imagined illustrations bring Hotel Infinity and its guests, the Numbers, to life for mathematicians of all ages.

From the dust jacket