A First Course in Modular Forms
Afbeeldingen
Artikel vergelijken
Auteur:
Fred Diamond
Jerry Shurman
Co-auteur:
Bernd Sturmfels
- Engels
- Hardcover
- 9780387232294
- 19 januari 2005
- 431 pagina's
Samenvatting
This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. The Theorem is stated in various forms, related to each other and to their applications to number theory.
This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms. The topics covered include
• elliptic curves as complex tori and as algebraic curves,
• modular curves as Riemann surfaces and as algebraic curves,
• Hecke operators and Atkin–Lehner theory,
• Hecke eigenforms and their arithmetic properties,
• the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms,
• elliptic and modular curves modulo p and the Eichler–Shimura Relation,
• the Galois representations associated to elliptic curves and to Hecke eigenforms.
As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.A First Course in Modular Forms is written for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout.Fred Diamond received his Ph.D from Princeton University in 1988 under the direction of Andrew Wiles and now teaches at King's College London. Jerry Shurman received his Ph.D from Princeton University in 1988 under the direction of Goro Shimura and now teaches at Reed College.
This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms. The topics covered include
• elliptic curves as complex tori and as algebraic curves,
• modular curves as Riemann surfaces and as algebraic curves,
• Hecke operators and Atkin–Lehner theory,
• Hecke eigenforms and their arithmetic properties,
• the Jacobians of modular curves and the Abelian varieties associated to Hecke eigenforms,
• elliptic and modular curves modulo p and the Eichler–Shimura Relation,
• the Galois representations associated to elliptic curves and to Hecke eigenforms.
As it presents these ideas, the book states the Modularity Theorem in various forms, relating them to each other and touching on their applications to number theory.A First Course in Modular Forms is written for beginning graduate students and advanced undergraduates. It does not require background in algebraic number theory or algebraic geometry, and it contains exercises throughout.Fred Diamond received his Ph.D from Princeton University in 1988 under the direction of Andrew Wiles and now teaches at King's College London. Jerry Shurman received his Ph.D from Princeton University in 1988 under the direction of Goro Shimura and now teaches at Reed College.
Productspecificaties
Wij vonden geen specificaties voor jouw zoekopdracht '{SEARCH}'.
Inhoud
- Taal
- en
- Bindwijze
- Hardcover
- Oorspronkelijke releasedatum
- 19 januari 2005
- Aantal pagina's
- 431
- Illustraties
- Nee
Betrokkenen
- Hoofdauteur
- Fred Diamond
- Tweede Auteur
- Jerry Shurman
- Co Auteur
- Bernd Sturmfels
- Hoofduitgeverij
- Springer-Verlag Gmbh
Overige kenmerken
- Editie
- 1st ed. 2005, Corr. 4th printing 2016
- Extra groot lettertype
- Nee
- Product breedte
- 159 mm
- Product hoogte
- 27 mm
- Product lengte
- 241 mm
- Studieboek
- Ja
- Verpakking breedte
- 162 mm
- Verpakking hoogte
- 242 mm
- Verpakking lengte
- 27 mm
- Verpakkingsgewicht
- 763 g
EAN
- EAN
- 9780387232294
Je vindt dit artikel in
- Taal
- Engels
- Beschikbaarheid
- Leverbaar
- Boek, ebook of luisterboek?
- Boek
- Studieboek of algemeen
- Algemene boeken
Kies gewenste uitvoering
Bindwijze
: Hardcover
Prijsinformatie en bestellen
De prijs van dit product is 59 euro en 99 cent.
Uiterlijk 7 mei in huis
Verkoop door bol
- Prijs inclusief verzendkosten, verstuurd door bol
- Ophalen bij een bol afhaalpunt mogelijk
- 30 dagen bedenktijd en gratis retourneren
- Dag en nacht klantenservice
Anderen bekeken ook
Rapporteer dit artikel
Je wilt melding doen van illegale inhoud over dit artikel:
- Ik wil melding doen als klant
- Ik wil melding doen als autoriteit of trusted flagger
- Ik wil melding doen als partner
- Ik wil melding doen als merkhouder
Geen klant, autoriteit, trusted flagger, merkhouder of partner? Gebruik dan onderstaande link om melding te doen.