基本介紹
- 書名：模形式與費馬大定理
- 作者：康奈爾 (Gary Cornell)
- 出版日期：2014年3月1日
- 語種：簡體中文, 英語
- ISBN：9787510070174
- 外文名：Modular Forms and Fermat's Last Theorem
- 出版社：世界圖書出版公司北京公司
- 頁數：582頁
- 開本：24
- 品牌：世界圖書出版公司北京公司
基本介紹,內容簡介,作者簡介,圖書目錄,
基本介紹
內容簡介
《模形式與費馬大定理(英文)》由世界圖書出版公司北京公司出版。
作者簡介
作者：（美國）康奈爾（Cornell G.） （美國）Joseph H.Silverman （美國）Glenn Stevens
圖書目錄
Preface
Contributors
Schedule of Lectures
Intuoduction
CHAPTER I
An Overview of the Proof of Fermat's Last Theorem
GLENN STEVENS
1. A remarkable elliptic curve 2
2. Galois representations 3
3. A remarkable Galois representation 7
4. Modular Galois representations 7
5. The Modularity Conjecture and Wiles's Theorem 9
6. The proof of Fermat's Last Theorem 10
7. The proof of Wiles's Theorem l0
References 15
CHAPTER II
A Survey of the Arithmetic Theory of Elliptic Curves
JOSEPH H. SILVERMAN
11. Basic definitions 17
12. The group law 18
13. Singular cubics 18
14. Isogenies 19
15. The endomorphism ring 19
16. Torsion points 20
17. Gaiois representations attached to E 20
18. The Weil pairing 21
19. Elliptic curves over finite fields 22
10. Elliptic curves over C and elliptic functions 24
11. The formal group of an elliptic curve 26
12. Elliptic curves over local fields 27
13. The Selmer and Shafarevich—Tate groups 29
14. Discriminants， conductors， and L—series 31
15. Duality theory 33
CHAPTER III
CHAPTER IV
CHAPTER V
CHAPTER VI
CHAPTER VII
CHAPTER VIII
CHAPTER IX
CHAPTER X
……
Contributors
Schedule of Lectures
Intuoduction
CHAPTER I
An Overview of the Proof of Fermat's Last Theorem
GLENN STEVENS
1. A remarkable elliptic curve 2
2. Galois representations 3
3. A remarkable Galois representation 7
4. Modular Galois representations 7
5. The Modularity Conjecture and Wiles's Theorem 9
6. The proof of Fermat's Last Theorem 10
7. The proof of Wiles's Theorem l0
References 15
CHAPTER II
A Survey of the Arithmetic Theory of Elliptic Curves
JOSEPH H. SILVERMAN
11. Basic definitions 17
12. The group law 18
13. Singular cubics 18
14. Isogenies 19
15. The endomorphism ring 19
16. Torsion points 20
17. Gaiois representations attached to E 20
18. The Weil pairing 21
19. Elliptic curves over finite fields 22
10. Elliptic curves over C and elliptic functions 24
11. The formal group of an elliptic curve 26
12. Elliptic curves over local fields 27
13. The Selmer and Shafarevich—Tate groups 29
14. Discriminants， conductors， and L—series 31
15. Duality theory 33
CHAPTER III
CHAPTER IV
CHAPTER V
CHAPTER VI
CHAPTER VII
CHAPTER VIII
CHAPTER IX
CHAPTER X
……
