Visions of Infinity: The Great Mathematical Problemsby Ian Stewart
It is one of the wonders of mathematics that, for every problem mathematicians solve, another awaits to perplex and galvanize them. Some of these problems are new, while others have puzzled and bewitched thinkers across the ages. Such challenges offer a tantalizing glimpse of the field's unlimited potential, and keep mathematicians looking toward the horizons
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Ian Stewart makes math accessible to the non-mathematician. Recommended for anyone who thinks math is not evolving and discovering new results.