This version has been known as ‘startlingly up-to-date’, and during this corrected moment printing you will be definite that it’s much more contemporaneous. It surveys from a unified perspective either the trendy kingdom and the traits of continuous improvement in a number of branches of quantity thought. Illuminated through undemanding difficulties, the imperative principles of recent theories are laid naked. a few issues lined comprise non-Abelian generalizations of sophistication box thought, recursive computability and Diophantine equations, zeta- and L-functions. This considerably revised and accelerated new version comprises numerous new sections, resembling Wiles' evidence of Fermat's final Theorem, and proper strategies coming from a synthesis of assorted theories.

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