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Book
Rings and modules
Author:
ISBN: 0470718056 1280783710 9786613694102 0470720360 Year: 1969 Publisher: New York (N.Y.): Interscience


Book
L'arithmétique des corps
Author:
ISBN: 2705656650 9782705656652 Year: 1972 Publisher: Paris Hermann


Book
Algebraic numbers
Author:
ISBN: 0471718041 9780471718048 Year: 1972 Publisher: New York (N.Y.): Wiley

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Book
The book of prime number records
Author:
ISBN: 0387970428 1468405098 1468405071 Year: 1989 Publisher: New York Springer

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13 lectures on Fermat's last theorem
Author:
ISBN: 0387904328 3540904328 144192809X 1468493426 9780387904320 Year: 1979 Publisher: New York (N.Y.): Springer


Book
Catalan's conjecture: are 8 and 9 the only consecutive powers?
Author:
ISBN: 0125871708 Year: 1994 Publisher: Boston Academic Press

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Book
Fermat's last theorem for amateurs
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ISBN: 1280010347 9786610010349 0387216928 Year: 1999 Publisher: New York : Springer,

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ItisnowwellknownthatFermat’slasttheoremhasbeenproved. For more than three and a half centuries, mathematicians — from the greatnamestothecleveramateurs—triedtoproveFermat’sfamous statement. The approach was new and involved very sophisticated theories. Finallythelong-soughtproofwasachieved. Thearithmetic theory of elliptic curves, modular forms, Galois representations, and their deformations, developed by many mathematicians, were the tools required to complete the di?cult proof. Linked with this great mathematical feat are the names of TANI- YAMA, SHIMURA, FREY, SERRE, RIBET, WILES, TAYLOR. Their contributions, as well as hints of the proof, are discussed in the Epilogue. This book has not been written with the purpose of presentingtheproofofFermat’stheorem. Onthecontrary, itiswr- ten for amateurs, teachers, and mathematicians curious about the unfolding of the subject. I employ exclusively elementary methods (except in the Epilogue). They have only led to partial solutions but their interest goes beyond Fermat’s problem. One cannot stop admiring the results obtained with these limited techniques. Nevertheless, I warn that as far as I can see — which in fact is not much — the methods presented here will not lead to a proof of Fermat’s last theorem for all exponents. vi Preface The presentation is self-contained and details are not spared, so the reading should be smooth. Most of the considerations involve ordinary rational numbers and only occasionally some algebraic (non-rational) numbers. For this reason I excluded Kummer’s important contributions, which are treated in detail in my book, Classical Theory of Algebraic N- bers and described in my 13 Lectures on Fermat’s Last Theorem (new printing, containing an Epilogue about recent results).

The new book of prime number records
Author:
ISBN: 0387944575 1461268923 1461207592 9780387944579 Year: 1995 Publisher: Berlin Springer

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Fermat's last theorem for amateurs.
Author:
ISBN: 0387985085 9786610010349 1280010347 0387216928 9780387985084 Year: 1999 Publisher: Berlin Springer

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