A first course in modular forms:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York, NY
Springer
2005
|
| Series: | Graduate texts in mathematics
228 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis Klappentext |
| Item Description: | Includes bibliographical references (p. [433]-436) and index |
| Physical Description: | XV, 436 S. graph. Darst. 25 cm |
| ISBN: | 038723229X |
Staff View
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| 245 | 1 | 0 | |a A first course in modular forms |c Fred Diamond ; Jerry Shurman |
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| 490 | 1 | |a Graduate texts in mathematics |v 228 | |
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Record in the Search Index
| _version_ | 1804133255521239040 |
|---|---|
| adam_text | Contents
Preface
1
1.1
1.2
1.3
1.4
1.5
2
2.1
2.2
2.3
2.4
2.5
3
3.1
3.2
3.3
3.4
3.5
3.6
3.7
3.8
3.9
4 Eisenstein
4.1 Eisenstein
4.2 Eisenstein
4.3
xiv Contents
4.4
4.5 Eisenstein
4.6 Eisenstein
4.7
4.8 Eisenstein
4.9
4.10
4.11
5 Hecke
5.1
5.2
5.3
5.4
5.5
5.6
5.7
5.8
5.9
5.10
5.11 Eisenstein
6
6.1
6.2
6.3
6.4
6.5
6.6
7
7.1
7.2
7.3
7.4
7.5
7.6
7.7
7.8 Isogenies
7.9 Hecke
8
8.1
8.2
8.3
Contents xv
8.4
8.5
8.6
8.7
8.8
9
9.1
9.2
9.3
9.4
9.5
9.6
Hints and Answers to the Exercises
List of Symbols
Index
References
Fred Diamond • Jerry Shurman
A
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
•
•
• Hecke
• Hecke
•
Hecke
•
•
forms.
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
direction of Andrew Wiles and now teaches at
Shurman received his Ph.D from Princeton University in
tion of Goro Shimura and now teaches at Reed College.
|
| any_adam_object | 1 |
| author | Diamond, Fred 1964- Shurman, Jerry Michael 1959- |
| author_GND | (DE-588)110035459X (DE-588)173095909 |
| author_facet | Diamond, Fred 1964- Shurman, Jerry Michael 1959- |
| author_role | aut aut |
| author_sort | Diamond, Fred 1964- |
| author_variant | f d fd j m s jm jms |
| building | Verbundindex |
| bvnumber | BV019774225 |
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| callnumber-search | QA243 |
| callnumber-sort | QA 3243 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 SK 230 SK 240 |
| classification_tum | MAT 103f |
| ctrlnum | (OCoLC)56615860 (DE-599)BVBBV019774225 |
| dewey-full | 512.7/3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.7/3 |
| dewey-search | 512.7/3 |
| dewey-sort | 3512.7 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| spelling | Diamond, Fred 1964- Verfasser (DE-588)110035459X aut A first course in modular forms Fred Diamond ; Jerry Shurman New York, NY Springer 2005 XV, 436 S. graph. Darst. 25 cm txt rdacontent n rdamedia nc rdacarrier Graduate texts in mathematics 228 Includes bibliographical references (p. [433]-436) and index Formes modulaires Funções e formas modulares larpcal Modulaire functies gtt Teoria dos números larpcal Forms, Modular Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Modulform (DE-588)4128299-1 gnd rswk-swf Zahlentheorie (DE-588)4067277-3 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Zahlentheorie (DE-588)4067277-3 s Algebraische Geometrie (DE-588)4001161-6 s Modulform (DE-588)4128299-1 s 2\p DE-604 Shurman, Jerry Michael 1959- Verfasser (DE-588)173095909 aut Graduate texts in mathematics 228 (DE-604)BV000000067 228 Digitalisierung UBRegensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013100320&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013100320&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Diamond, Fred 1964- Shurman, Jerry Michael 1959- A first course in modular forms Graduate texts in mathematics Formes modulaires Funções e formas modulares larpcal Modulaire functies gtt Teoria dos números larpcal Forms, Modular Algebraische Geometrie (DE-588)4001161-6 gnd Modulform (DE-588)4128299-1 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4128299-1 (DE-588)4067277-3 (DE-588)4123623-3 |
| title | A first course in modular forms |
| title_auth | A first course in modular forms |
| title_exact_search | A first course in modular forms |
| title_full | A first course in modular forms Fred Diamond ; Jerry Shurman |
| title_fullStr | A first course in modular forms Fred Diamond ; Jerry Shurman |
| title_full_unstemmed | A first course in modular forms Fred Diamond ; Jerry Shurman |
| title_short | A first course in modular forms |
| title_sort | a first course in modular forms |
| topic | Formes modulaires Funções e formas modulares larpcal Modulaire functies gtt Teoria dos números larpcal Forms, Modular Algebraische Geometrie (DE-588)4001161-6 gnd Modulform (DE-588)4128299-1 gnd Zahlentheorie (DE-588)4067277-3 gnd |
| topic_facet | Formes modulaires Funções e formas modulares Modulaire functies Teoria dos números Forms, Modular Algebraische Geometrie Modulform Zahlentheorie Lehrbuch |
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