Articles liés à A First Course in Modular Forms
Synopsis
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"It has always been difficult to start learning about modular forms. ... we were still lacking a textbook that could be honestly described as both comprehensive and accessible. Diamond and Shurman s First Course is a largely successful attempt to provide just such a book. ... A First Course in Modular Forms is a success. ... a course taught from this text would be a very good way to lead students into the area. ... I expect that Diamond and Shurman s book would serve very well." --Fernando Q. Gouvêa, MathDL, February, 2007
"While there are many books on modular forms and elliptic curves, and some of them discuss the Eicheler-Shimura theory, most that describe it do not go deeply into the proofs. ... The book of Diamond and Shurman addresses this need. ... it is clearly directed to the serious student and it will unquestionably be a useful book even to experts. ... this is a very unique and valuable book, and one that I would recommend to anyone wishing to learn about modular forms ... ." --Daniel Bump, SIAM Review, Vol. 47 (4), 2005
Présentation de l'éditeur
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.
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- ÉditeurSpringer
- Date d'édition2010
- ISBN 10 1441920056
- ISBN 13 9781441920058
- ReliureBroché
- Langueanglais
- Numéro d'édition1
- Nombre de pages472
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A First Course in Modular Forms (Graduate Texts in Mathematics, 228)
Edité par
Springer, 2010
ISBN 10 : 1441920056
ISBN 13 : 9781441920058
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A First Course in Modular Forms (Graduate Texts in Mathematics, 228)
Vendeur : Textbooks_Source, Columbia, MO, Etats-Unis
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paperback. Etat : New. Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). N° de réf. du vendeur 001347149N
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A First Course in Modular Forms (Graduate Texts in Mathematics, 228)
Edité par
Springer, 2010
ISBN 10 : 1441920056
ISBN 13 : 9781441920058
Ancien ou d'occasion
Soft cover
Vendeur : Rob the Book Man, Vancouver, WA, Etats-Unis
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Soft cover. Etat : Fine. Trade paperback in fine condition. N° de réf. du vendeur 26403
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A First Course in Modular Forms
Edité par
Springer New York Nov 2010, 2010
ISBN 10 : 1441920056
ISBN 13 : 9781441920058
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Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. Discussion covers 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. 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. The authors assume no background in algebraic number theory and algebraic geometry. Exercises are included. 472 pp. Englisch. N° de réf. du vendeur 9781441920058
Quantité disponible : 2 disponible(s)
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A First Course in Modular Forms
Edité par
Springer New York, Springer US, 2010
ISBN 10 : 1441920056
ISBN 13 : 9781441920058
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. N° de réf. du vendeur 9781441920058
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A First Course in Modular Forms
Edité par
Springer New York, 2010
ISBN 10 : 1441920056
ISBN 13 : 9781441920058
Neuf
Kartoniert / Broschiert
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Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Covers many topics not covered in other texts on elliptic curvesThis book introduces the theory of modular forms, from which all rational elliptic curves arise, with an eye toward the Modularity Theorem. The topics covered include: elliptic curves as. N° de réf. du vendeur 4172557
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A First Course in Modular Forms
Vendeur : Revaluation Books, Exeter, Royaume-Uni
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Paperback. Etat : Brand New. 452 pages. 9.00x6.00x1.00 inches. In Stock. N° de réf. du vendeur zk1441920056
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A First Course in Modular Forms (Graduate Texts in Mathematics (228))
Edité par
Springer, 2010
ISBN 10 : 1441920056
ISBN 13 : 9781441920058
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Paperback
Vendeur : Mispah books, Redhill, SURRE, Royaume-Uni
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Paperback. Etat : Like New. Like New. book. N° de réf. du vendeur ERICA77314419200566
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