Mohlo by sa vám tiež páčiť

Viac informácií o knihe First Course in Modular Forms

• Parametre knihy
• Anotácia kniha
• Obľúbené z iného súdka

Nákupom získate 147 bodov

Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Number theory

• Celý názov: First Course in Modular Forms
• Autor: Fred Diamond, Jerry Shurman
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 450
• EAN: 9780387232294
• ISBN: 038723229X
• ID: 01381046
• Nakladateľ: Springer-Verlag New York Inc.
• Hmotnosť: 718 g
• Rozmery: 243 × 164 × 33 mm
• Dátum vydania: 14. September 2016

Obľúbené z iného súdka

---

---

---