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Ordered algebraic structures --- 512.55 --- Modules (Algebra) --- Rings (Algebra) --- #KOPO:Prof. R. Holvoet --- Algebraic rings --- Ring theory --- Algebraic fields --- Finite number systems --- Modular systems (Algebra) --- Algebra --- Finite groups --- Rings and modules --- Rings (Algebra). --- Modules (Algebra). --- 512.55 Rings and modules --- Liver --- Liver cells --- Insulin --- Diseases --- Regeneration --- Physiological effect --- Algèbres associatives
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Number theory --- 511.6 --- Algebraic number fields --- 511.6 Algebraic number fields --- Algebraic fields --- Galois theory --- Corps algébriques --- Galois, Théorie de --- Equations, Theory of --- Group theory --- Algebraic numbers --- Fields, Algebraic --- Algebra, Abstract --- Algebraic number theory --- Rings (Algebra) --- Galois, Théorie de --- Nombres, Théorie des --- Nombres algébriques, Théorie des
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Number theory --- 511.6 --- Algebraic number theory --- Algebraic number fields --- Algebraic number theory. --- 511.6 Algebraic number fields
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Number theory --- Fermat, de, Pierre --- Fermat's last theorem --- Fermat, Grand théorème de --- Fermat, Pierre de, --- 511.343 --- Last theorem, Fermat's --- Diophantine analysis --- Fermat's theorem --- Forms of higher degree. Fermat's last theorem --- Fermat's last theorem. --- 511.343 Forms of higher degree. Fermat's last theorem --- Fermat, Grand théorème de --- Theorie des nombres --- Histoire
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Employees --- Adult education --- Labor supply --- Personnel --- Education des adultes --- Marché du travail --- Training of --- Effect of technological innovations on --- Formation --- Effets des innovations sur --- Formation des adultes Opleiding voor volwassenen --- Plans de formation Opleidingsplannen --- Parascolaire Opleiding buiten schoolverband --- Pédagogie Opvoedkunde --- Travail Arbeid --- Objectifs (formation) Doelstellingen (opleiding) --- Marché du travail --- Getallen [Ondeelbare ] --- Numbers [Prime ] --- Ondeelbare getallen --- Nombres premiers
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Catalan, Eugène --- Catalan, Eugène Charles, --- Analyse diophantienne
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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).
Mathematics. --- Number theory. --- Number Theory. --- Fermat's last theorem. --- Number study --- Numbers, Theory of --- Algebra --- Last theorem, Fermat's --- Diophantine analysis --- Number theory --- Fermat's theorem
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Numbers, Prime --- 511.213 --- 511.213 Elementary prime number theory --- Elementary prime number theory --- Prime numbers --- Numbers, Natural --- Number theory
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Fermat's last theorem --- #WBIB:dd.Lic.L.De Busschere --- 511.343 --- 511.5 --- 511.343 Forms of higher degree. Fermat's last theorem --- Forms of higher degree. Fermat's last theorem --- 511.5 Diophantine equations --- Diophantine equations --- Last theorem, Fermat's --- Diophantine analysis --- Number theory --- Fermat's theorem --- Fermat, Grand theoreme de --- Fermat's last theorem. --- Fermat, Grand théorème de --- EPUB-LIV-FT SPRINGER-B --- Nombres, Théorie des --- Epub-liv-ft springer-b
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