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The Millennium problems
My main criticism of the book is that the task Devlin has taken on is too much to fit into one book. Each chapter has a lot of introductory material, which doesn't leave much space for the description of the problem itself.. Most of the problems really need a book to themselves, such as those that have been written on the Riemann Hypothesis. For the last two chapters Devlin doesn't attempt to explain the maths leading up to the problem, he just tries to give the reader an overall feel for the problem, which in some ways is a more satisfactory way of using the space available.