This version has been referred to as ‘startlingly up-to-date’, and during this corrected moment printing you may be convinced that it’s much more contemporaneous. It surveys from a unified viewpoint either the fashionable country and the traits of constant improvement in quite a few branches of quantity concept. Illuminated by way of effortless difficulties, the significant rules of contemporary theories are laid naked. a few themes coated comprise non-Abelian generalizations of sophistication box conception, recursive computability and Diophantine equations, zeta- and L-functions. This considerably revised and increased new version comprises numerous new sections, comparable to Wiles' facts of Fermat's final Theorem, and suitable ideas coming from a synthesis of assorted theories.

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