Visions Of Infinity by Ian Stewart

A lively, accessible tour of the concept of infinity that traces its development from ancient paradoxes and calculus to Cantor’s set theory and modern ideas like transfinite numbers, Hilbert’s hotel and fractals; it explains different sizes of infinity, limits and infinitesimals, and the philosophical puzzles they raise, using historical anecdotes and intuitive examples to make abstract mathematics vivid and comprehensible.

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