The Poincaré Conjecture: In Search of the Shape of the Universe, by Donal O'Shea
It is a well-known fact that our universe has three dimensions of space. Imagine for a moment that it had only two, like E.A. Abbott's Flatland, or A.K. Dewdney's Planiverse. What shape might it have? Well, it might be flat, like an infinite sheet of paper on an infinite tabletop; or it might curve round...
Read MoreThe Art of the Infinite: the Pleasures of Mathematics, by Robert Kaplan and Ellen Kaplan
Mathematicians are uncomfortably aware that theirs is a "cold" subject. Though full of wonders and delights, it has little appeal to the tender side of human nature, little connection with the clayey appetites and longings of our everyday lives. There is a story about the great German mathematician David Hilbert. Noticing that one of his...
Read MoreThe Millennium Problems, by Keith Devlin
It is difficult to think of any literary enterprise more challenging than the presentation of advanced mathematical topics to a general audience. It is not just that math is hard; there is, as Keith Devlin noted in a previous book, The Math Gene, (and as Bertrand Russell remarked in the introduction to Principia Mathematica), something...
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