Modular Forms and Fermat’s Last Theorem

Valutazione media 2,67
( su 3 valutazioni fornite da Goodreads )
 
9780387989983: Modular Forms and Fermat’s Last Theorem

This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles'theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Review:

"The story of Fermat's last theorem (FLT) and its resolution is now well known. It is now common knowledge that Frey had the original idea linking the modularity of elliptic curves and FLT, that Serre refined this intuition by formulating precise conjectures, that Ribet proved a part of Serre's conjectures, which enabled him to establish that modularity of semistable elliptic curves implies FLT, and that finally Wiles proved the modularity of semistable elliptic curves.

The purpose of the book under review is to highlight and amplify these developments. As such, the book is indispensable to any student wanting to learn the finer details of the proof or any researcher wanting to extend the subject in a higher direction. Indeed, the subject is already expanding with the recent researches of Conrad, Darmon, Diamond, Skinner and others. ...

FLT deserves a special place in the history of civilization. Because of its simplicity, it has tantalized amateurs and professionals alike, and its remarkable fecundity has led to the development of large areas of mathematics such as, in the last century, algebraic number theory, ring theory, algebraic geometry, and in this century, the theory of elliptic curves, representation theory, Iwasawa theory, formal groups, finite flat group schemes and deformation theory of Galois representations, to mention a few. It is as if some supermind planned it all and over the centuries had been developing diverse streams of thought only to have them fuse in a spectacular synthesis to resolve FLT. No single brain can claim expertise in all of the ideas that have gone into this "marvelous proof". In this age of specialization, where "each one of us knows more and more about less and less", it is vital for us to have an overview of the masterpiece such as the one provided by this book." (M. Ram Murty, Mathematical Reviews)

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

I migliori risultati di ricerca su AbeBooks

1.

Silverman, Joseph H.;Stevens, Glenn
Editore: Springer Verlag, Secaucus, New Jersey, U.S.A. (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Soft cover Quantità: 1
Da
Bonny. Lee
(Vancouver, BC, Canada)
Valutazione libreria
[?]

Descrizione libro Springer Verlag, Secaucus, New Jersey, U.S.A., 2000. Soft cover. Condizione libro: Brand New. US edition Brand New SOFT COVER standard delivery. Codice libro della libreria 001029

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 24,26
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 25,61
Da: Canada a: U.S.A.
Destinazione, tempi e costi

2.

Cornell, Gary
Editore: Springer 2000-02 (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Quantità: 5
Print on Demand
Da
Chiron Media
(Wallingford, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer 2000-02, 2000. Condizione libro: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Codice libro della libreria NU-LSI-06917144

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 75,30
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,28
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

3.

Editore: Springer-Verlag New York Inc., United States (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Paperback Quantità: 10
Da
Book Depository hard to find
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2000. Paperback. Condizione libro: New. 1st ed. 1997. 3rd printing 2000. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource. Codice libro della libreria LIE9780387989983

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 81,98
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

4.

Editore: Springer-Verlag New York Inc., United States (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Paperback Quantità: 10
Print on Demand
Da
The Book Depository
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2000. Paperback. Condizione libro: New. 1st ed. 1997. 3rd printing 2000. Language: English . Brand New Book ***** Print on Demand *****.This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource. Codice libro della libreria AAV9780387989983

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 87,48
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

5.

Editore: Springer-Verlag New York Inc., United States (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Paperback Quantità: 10
Print on Demand
Da
The Book Depository US
(London, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., United States, 2000. Paperback. Condizione libro: New. 1st ed. 1997. 3rd printing 2000. Language: English . Brand New Book ***** Print on Demand *****. This volume contains the expanded lectures given at a conference on number theory and arithmetic geometry held at Boston University. It introduces and explains the many ideas and techniques used by Wiles, and to explain how his result can be combined with Ribets theorem and ideas of Frey and Serre to prove Fermats Last Theorem. The book begins with an overview of the complete proof, followed by several introductory chapters surveying the basic theory of elliptic curves, modular functions and curves, Galois cohomology, and finite group schemes. Representation theory, which lies at the core of the proof, is dealt with in a chapter on automorphic representations and the Langlands-Tunnell theorem, and this is followed by in-depth discussions of Serres conjectures, Galois deformations, universal deformation rings, Hecke algebras, and complete intersections. The book concludes by looking both forward and backward, reflecting on the history of the problem, while placing Wiles theorem into a more general Diophantine context suggesting future applications. Students and professional mathematicians alike will find this an indispensable resource. Codice libro della libreria AAV9780387989983

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 87,63
Convertire valuta

Aggiungere al carrello

Spese di spedizione: GRATIS
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

6.

Gary Cornell
Editore: Springer-Verlag New York Inc. (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Quantità: > 20
Print on Demand
Da
Pbshop
(Wood Dale, IL, U.S.A.)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., 2000. PAP. Condizione libro: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria IQ-9780387989983

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 84,94
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 3,41
In U.S.A.
Destinazione, tempi e costi

7.

Gary Cornell
Editore: Springer-Verlag New York Inc. (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Quantità: > 20
Print on Demand
Da
Books2Anywhere
(Fairford, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer-Verlag New York Inc., 2000. PAP. Condizione libro: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Codice libro della libreria LQ-9780387989983

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 79,50
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 9,88
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

8.

Editore: Springer (2009)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Brossura Prima edizione Quantità: 15
Print on Demand
Da
Valutazione libreria
[?]

Descrizione libro Springer, 2009. Condizione libro: New. This item is printed on demand for shipment within 3 working days. Codice libro della libreria LP9780387989983

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 87,87
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 2,99
Da: Germania a: U.S.A.
Destinazione, tempi e costi

9.

GARY CORNELL
Editore: Springer (2000)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Paperback Quantità: 1
Da
Herb Tandree Philosophy Books
(Stroud, GLOS, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer, 2000. Paperback. Condizione libro: NEW. 9780387989983 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Codice libro della libreria HTANDREE0276991

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 82,58
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 8,79
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

10.

Cornell, Gary
Editore: Springer (2016)
ISBN 10: 0387989986 ISBN 13: 9780387989983
Nuovi Paperback Quantità: 1
Print on Demand
Da
Ria Christie Collections
(Uxbridge, Regno Unito)
Valutazione libreria
[?]

Descrizione libro Springer, 2016. Paperback. Condizione libro: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Codice libro della libreria ria9780387989983_lsuk

Maggiori informazioni su questa libreria | Fare una domanda alla libreria

Compra nuovo
EUR 87,38
Convertire valuta

Aggiungere al carrello

Spese di spedizione: EUR 4,25
Da: Regno Unito a: U.S.A.
Destinazione, tempi e costi

Vedi altre copie di questo libro

Vedi tutti i risultati per questo libro