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The Resource Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource)
Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource)
Resource Information
The item Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.This item is available to borrow from all library branches.
Resource Information
The item Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Oklahoma Libraries.
This item is available to borrow from all library branches.
 Summary
 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. Finallythelongsoughtproofwasachieved. 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 selfcontained and details are not spared, so the reading should be smooth. Most of the considerations involve ordinary rational numbers and only occasionally some algebraic (nonrational) 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)
 Language

 eng
 eng
 Edition
 1st ed. 1999.
 Extent
 1 online resource (421 p.)
 Note
 Description based upon print version of record
 Contents

 The Problem
 Special Cases
 4 Interludes
 Algebraic Restrictions on Hypothetical Solutions
 Germain’s Theorem
 Interludes 5 and 6
 Arithmetic Restrictions on Hypothetical Solutions and on the Exponent
 Interludes 7 and 8
 Reformulations, Consequences, and Criteria
 Interludes 9 and 10
 The Local and Modular Fermat Problem
 Epilogue
 Isbn
 9781280010347
 Label
 Fermat’s Last Theorem for Amateurs
 Title
 Fermat’s Last Theorem for Amateurs
 Statement of responsibility
 by Paulo Ribenboim
 Language

 eng
 eng
 Summary
 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. Finallythelongsoughtproofwasachieved. 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 selfcontained and details are not spared, so the reading should be smooth. Most of the considerations involve ordinary rational numbers and only occasionally some algebraic (nonrational) 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)
 http://library.link/vocab/creatorName
 Ribenboim, Paulo
 Dewey number
 512/.74
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
 kL_zBILo00g
 Language note
 English
 LC call number
 QA241247.5
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/subjectName

 Number theory
 Number Theory
 Label
 Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [389]395) and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 The Problem  Special Cases  4 Interludes  Algebraic Restrictions on Hypothetical Solutions  Germain’s Theorem  Interludes 5 and 6  Arithmetic Restrictions on Hypothetical Solutions and on the Exponent  Interludes 7 and 8  Reformulations, Consequences, and Criteria  Interludes 9 and 10  The Local and Modular Fermat Problem  Epilogue
 Dimensions
 unknown
 Edition
 1st ed. 1999.
 Extent
 1 online resource (421 p.)
 Form of item
 online
 Isbn
 9781280010347
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/b97437
 Specific material designation
 remote
 System control number

 (CKB)111087027063532
 (EBL)3035251
 (SSID)ssj0000154273
 (PQKBManifestationID)11160210
 (PQKBTitleCode)TC0000154273
 (PQKBWorkID)10407985
 (PQKB)10982628
 (DEHe213)9780387216928
 (MiAaPQ)EBC3035251
 (EXLCZ)99111087027063532
 Label
 Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource)
 Note
 Description based upon print version of record
 Bibliography note
 Includes bibliographical references (p. [389]395) and indexes
 Carrier category
 online resource
 Carrier category code

 cr
 Content category
 text
 Content type code

 txt
 Contents
 The Problem  Special Cases  4 Interludes  Algebraic Restrictions on Hypothetical Solutions  Germain’s Theorem  Interludes 5 and 6  Arithmetic Restrictions on Hypothetical Solutions and on the Exponent  Interludes 7 and 8  Reformulations, Consequences, and Criteria  Interludes 9 and 10  The Local and Modular Fermat Problem  Epilogue
 Dimensions
 unknown
 Edition
 1st ed. 1999.
 Extent
 1 online resource (421 p.)
 Form of item
 online
 Isbn
 9781280010347
 Media category
 computer
 Media type code

 c
 Other control number
 10.1007/b97437
 Specific material designation
 remote
 System control number

 (CKB)111087027063532
 (EBL)3035251
 (SSID)ssj0000154273
 (PQKBManifestationID)11160210
 (PQKBTitleCode)TC0000154273
 (PQKBWorkID)10407985
 (PQKB)10982628
 (DEHe213)9780387216928
 (MiAaPQ)EBC3035251
 (EXLCZ)99111087027063532
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Architecture LibraryBorrow itGould Hall 830 Van Vleet Oval Rm. 105, Norman, OK, 73019, US35.205706 97.445050



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Fine Arts LibraryBorrow itCatlett Music Center 500 West Boyd Street, Rm. 20, Norman, OK, 73019, US35.210371 97.448244

Harry W. Bass Business History CollectionBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

History of Science CollectionsBorrow it401 W. Brooks St., Rm. 521NW, Norman, OK, 73019, US35.207487 97.447906

John and Mary Nichols Rare Books and Special CollectionsBorrow it401 W. Brooks St., Rm. 509NW, Norman, OK, 73019, US35.207487 97.447906


Price College Digital LibraryBorrow itAdams Hall 102 307 West Brooks St., Norman, OK, 73019, US35.210371 97.448244

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