Work examines the latest algorithms and tools to solve classical
types of diophantine equations.; Unique book---closest competitor,
Smart, Cambridge, does not treat index form equations.; Author is a
leading researcher in the field of computational algebraic number
theory.; The text is illustrated with several tables of various
number fields, including their data on power integral bases.;
Several interesting properties of number fields are examined.; Some
infinite parametric families of fields are also considered as well
as the resolution of the corresponding infinite parametric families
of diophantine equations.
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