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Language: English
Published by Springer-Verlag New York Inc., US, 2005
ISBN 10: 038723229X ISBN 13: 9780387232294
Seller: Rarewaves.com USA, London, LONDO, United Kingdom
Hardback. Condition: New. 1st ed. 2005. Corr. 3nd printing 2007. 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 eigenformsAs 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.
Language: English
Published by Springer-Verlag New York Inc., New York, NY, 2005
ISBN 10: 038723229X ISBN 13: 9780387232294
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
First Edition
Hardcover. Condition: new. Hardcover. 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 eigenformsAs 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Seller: Revaluation Books, Exeter, United Kingdom
Hardcover. Condition: Brand New. 451 pages. 9.25x6.25x1.00 inches. In Stock.
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Condition: New. pp. 456.
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Language: English
Published by Springer-Verlag New York Inc., 2005
ISBN 10: 038723229X ISBN 13: 9780387232294
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Hardback. Condition: New. New copy - Usually dispatched within 3 working days.
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Seller: Revaluation Books, Exeter, United Kingdom
Hardcover. Condition: Brand New. 451 pages. 9.25x6.25x1.00 inches. In Stock.
Karton. Condition: Sehr gut. Zust: Gutes Exemplar. 436 Seiten, mit Abbildungen, Englisch 770g.
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Condition: Very good.
Seller: moluna, Greven, Germany
Condition: New. Covers many topics not covered in other texts on elliptic curvesCovers many topics not covered in other texts on elliptic curvesIncludes supplementary material: sn.pub/extrasThis book introduces the theory of modular forms, from whi.
Seller: Revaluation Books, Exeter, United Kingdom
Paperback. Condition: Brand New. 452 pages. 9.00x6.00x1.00 inches. In Stock.
Seller: AHA-BUCH GmbH, Einbeck, Germany
Buch. Condition: 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.