Algebraic Number Theory and Fermat's Last Theorem av Ian (University of Warwick UK University of Warwick Coventry UK University of Warwick Univer

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<P>Updated to reflect current research, <STRONG>Algebraic Number Theory and Fermat¿s Last Theorem, Fourth Edition</STRONG> 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. Students will see how Wiles¿s proof of Fermat¿s Last Theorem opened many new areas for future work.</P><P><STRONG>New to the Fourth Edition</STRONG></P><UL><LI>Provides up-to-date information on unique prime factorization for real quadratic number fields, especially Harper¿s proof that Z(v14) is Euclidean</LI><LI>Presents an important new result: Mihailescu¿s proof of the Catalan conjecture of 1844</LI><LI>Revises and expands one chapter into two, covering classical ideas about modular functions and highlighting the new ideas of Frey, Wiles, and othe