Algebraic Number Theory and Fermat's Last Theorem

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This text introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics¿the quest for a proof of Fermat¿s Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Along with several recent developments, this fourth edition provides up-to-date information on unique prime factorization for real quadratic number fields and presents Mih¿ilescüs proof of the Catalan conjecture.