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The ?rst Algorithmic Number Theory Symposium took place in May 1994 at Cornell University. The preface to its proceedings has the organizers expressing the hope that the meeting would be "the ?rst in a long series of international conferencesonthe algorithmic, computational, andcomplexity theoreticaspects of number theory." ANTS VIII was held May 17-22, 2008 at the Ban? Centre in Ban?, Alberta, Canada. It was the eighth in this lengthening series. The conference included four invited talks, by Johannes Buchmann (TU Darmstadt), AndrewGranville(UniversitedeMontr eal), Fran, coisMorain(Ecole...

This books addresses Fermat's theorem and its proof, which was discovered by Andrew Wiles, and discusses the implications of Wiles' proof. Each chapter explains a separate area of number theory as it pertains to Fermat's last theorem and assumes little background in mathematics.