Fermat’s Last Theorem for Amateurs:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1999
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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) |
| Beschreibung: | 1 Online-Ressource (XIV, 408 p) |
| ISBN: | 9780387216928 9780387985084 |
| DOI: | 10.1007/b97437 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b97437 |
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| institution | BVB |
| isbn | 9780387216928 9780387985084 |
| language | English |
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| spelling | Ribenboim, Paulo Verfasser aut Fermat’s Last Theorem for Amateurs by Paulo Ribenboim New York, NY Springer New York 1999 1 Online-Ressource (XIV, 408 p) txt rdacontent c rdamedia cr rdacarrier 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 Mathematik Fermatsche Vermutung (DE-588)4154012-8 gnd rswk-swf Fermatsche Vermutung (DE-588)4154012-8 s 1\p DE-604 https://doi.org/10.1007/b97437 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ribenboim, Paulo Fermat’s Last Theorem for Amateurs Mathematics Number theory Number Theory Mathematik Fermatsche Vermutung (DE-588)4154012-8 gnd |
| subject_GND | (DE-588)4154012-8 |
| title | Fermat’s Last Theorem for Amateurs |
| title_auth | Fermat’s Last Theorem for Amateurs |
| title_exact_search | Fermat’s Last Theorem for Amateurs |
| title_full | Fermat’s Last Theorem for Amateurs by Paulo Ribenboim |
| title_fullStr | Fermat’s Last Theorem for Amateurs by Paulo Ribenboim |
| title_full_unstemmed | Fermat’s Last Theorem for Amateurs by Paulo Ribenboim |
| title_short | Fermat’s Last Theorem for Amateurs |
| title_sort | fermat s last theorem for amateurs |
| topic | Mathematics Number theory Number Theory Mathematik Fermatsche Vermutung (DE-588)4154012-8 gnd |
| topic_facet | Mathematics Number theory Number Theory Mathematik Fermatsche Vermutung |
| url | https://doi.org/10.1007/b97437 |
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