The Resource Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource)

Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource)

Label
Fermat’s Last Theorem for Amateurs
Title
Fermat’s Last Theorem for Amateurs
Statement of responsibility
by Paulo Ribenboim
Creator
Author
Author
Subject
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. 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)
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
QA241-247.5
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)
Instantiates
Publication
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
  • (DE-He213)978-0-387-21692-8
  • (MiAaPQ)EBC3035251
  • (EXLCZ)99111087027063532
Label
Fermat’s Last Theorem for Amateurs, by Paulo Ribenboim, (electronic resource)
Publication
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
  • (DE-He213)978-0-387-21692-8
  • (MiAaPQ)EBC3035251
  • (EXLCZ)99111087027063532

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