Galois' dream: group theory and differential equations
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English Japanese |
| Veröffentlicht: |
Boston u.a.
Birkhäuser
1993
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Japan. übers. |
| Beschreibung: | IX, 150 S. Ill., graph. Darst. |
| ISBN: | 0817636889 3764336889 |
Internformat
MARC
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| 100 | 1 | |a Kuga, Michio |e Verfasser |4 aut | |
| 240 | 1 | 0 | |a Garoa no yume |
| 245 | 1 | 0 | |a Galois' dream |b group theory and differential equations |c Michio Kuga |
| 264 | 1 | |a Boston u.a. |b Birkhäuser |c 1993 | |
| 300 | |a IX, 150 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Aus dem Japan. übers. | ||
| 650 | 7 | |a Differentiaalvergelijkingen |2 gtt | |
| 650 | 7 | |a Equacoes diferenciais ordinarias |2 larpcal | |
| 650 | 7 | |a Galois-theorie |2 gtt | |
| 650 | 4 | |a Differential equations | |
| 650 | 4 | |a Galois theory | |
| 650 | 4 | |a Monodromy groups | |
| 650 | 0 | 7 | |a Galois-Theorie |0 (DE-588)4155901-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Differentialgleichung |0 (DE-588)4012249-9 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Monodromiegruppe |0 (DE-588)4194644-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Fuchs-Differentialgleichung |0 (DE-588)4155564-8 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Fuchs-Differentialgleichung |0 (DE-588)4155564-8 |D s |
| 689 | 0 | 1 | |a Monodromiegruppe |0 (DE-588)4194644-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Differentialgleichung |0 (DE-588)4012249-9 |D s |
| 689 | 1 | 1 | |a Galois-Theorie |0 (DE-588)4155901-0 |D s |
| 689 | 1 | |5 DE-604 | |
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| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-005401144 | |
Datensatz im Suchindex
| _version_ | 1821976831494979584 |
|---|---|
| adam_text |
Contents
Preface iv
Pre—Mathematics
Oth Week No prerequisites 3
1st Week Sets and Maps 5
2nd Week Equivalence Classes 19
3rd Week The Story of Free Groups 23
Heave Ho! (Pull it Tight)
4th Week Fundamental Groups of Surfaces 33
5th Week Fundamental Groups 38
6th Week Examples of Fundamental Groups 45
7th Week Examples of Fundamental Groups, continued . 49
Men Who Don't Realize
That Their Wives Have Been Interchanged
8th Week Coverings 53
9th Week Covering Surfaces and Fundamental Groups . 59
10th Week Covering Surfaces and Fundamental Groups,
continued 61
11th Week The Group of Covering Transformations . 70
Everyone Has a Tail
12th Week The Universal Covering Space 77
13th Week The Correspondence Between Coverings of (£ ; O)
and Subgroups of 7Ti(Z); O) 83
Seeing Galois Theory
14th Week Continuous Functions on Covering Surfaces . 89
15th Week Function Theory on Covering Surfaces . 93
Solvable or Not?
16th Week Differential Equations 105
17th Week Elementary Methods of Solving
Differential Equations 109
18th Week Regular Singularities 114
19th Week Differential Equations of Fuchsian Type . . . 129
References 141
Notation 143
Index 147
vi Contents
Contents
Preface iv
Pre—Mathematics
Oth Week No prerequisites 3
1st Week Sets and Maps 5
2nd Week Equivalence Classes 19
3rd Week The Story of Free Groups 23
Heave Ho! (Pull it Tight)
4th Week Fundamental Groups of Surfaces 33
5th Week Fundamental Groups 38
6th Week Examples of Fundamental Groups 45
7th Week Examples of Fundamental Groups, continued . 49
Men Who Don't Realize
That Their Wives Have Been Interchanged
8th Week Coverings 53
9th Week Covering Surfaces and Fundamental Groups . 59
10th Week Covering Surfaces and Fundamental Groups,
continued 61
11th Week The Group of Covering Transformations . 70
Everyone Has a Tail
12th Week The Universal Covering Space 77
13th Week The Correspondence Between Coverings of (D; O)
and Subgroups of n\ (D; O) 83
Seeing Galois Theory
14th Week Continuous Functions on Covering Surfaces . 89
15th Week Function Theory on Covering Surfaces . 93
Solvable or Not?
16th Week Differential Equations 105
17th Week Elementary Methods of Solving
Differential Equations 109
18th Week Regular Singularities 114
19th Week Differential Equations of Fuchsian Type . . . 129
References 141
Notation 143
Index 147 |
| any_adam_object | 1 |
| author | Kuga, Michio |
| author_facet | Kuga, Michio |
| author_role | aut |
| author_sort | Kuga, Michio |
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| callnumber-subject | QA - Mathematics |
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| classification_tum | MAT 349f MAT 126f MAT 553f |
| ctrlnum | (OCoLC)27010448 (DE-599)BVBBV008183995 |
| dewey-full | 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.3 |
| dewey-search | 512/.3 |
| dewey-sort | 3512 13 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV008183995 |
| illustrated | Illustrated |
| indexdate | 2025-01-22T19:01:49Z |
| institution | BVB |
| isbn | 0817636889 3764336889 |
| language | English Japanese |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-005401144 |
| oclc_num | 27010448 |
| open_access_boolean | |
| owner | DE-91 DE-BY-TUM DE-91G DE-BY-TUM DE-384 DE-739 DE-824 DE-20 DE-29T DE-703 DE-355 DE-BY-UBR DE-860 DE-M347 DE-19 DE-BY-UBM DE-634 DE-11 DE-188 |
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| physical | IX, 150 S. Ill., graph. Darst. |
| publishDate | 1993 |
| publishDateSearch | 1993 |
| publishDateSort | 1993 |
| publisher | Birkhäuser |
| record_format | marc |
| spelling | Kuga, Michio Verfasser aut Garoa no yume Galois' dream group theory and differential equations Michio Kuga Boston u.a. Birkhäuser 1993 IX, 150 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Japan. übers. Differentiaalvergelijkingen gtt Equacoes diferenciais ordinarias larpcal Galois-theorie gtt Differential equations Galois theory Monodromy groups Galois-Theorie (DE-588)4155901-0 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Monodromiegruppe (DE-588)4194644-3 gnd rswk-swf Fuchs-Differentialgleichung (DE-588)4155564-8 gnd rswk-swf Fuchs-Differentialgleichung (DE-588)4155564-8 s Monodromiegruppe (DE-588)4194644-3 s DE-604 Differentialgleichung (DE-588)4012249-9 s Galois-Theorie (DE-588)4155901-0 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005401144&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kuga, Michio Galois' dream group theory and differential equations Differentiaalvergelijkingen gtt Equacoes diferenciais ordinarias larpcal Galois-theorie gtt Differential equations Galois theory Monodromy groups Galois-Theorie (DE-588)4155901-0 gnd Differentialgleichung (DE-588)4012249-9 gnd Monodromiegruppe (DE-588)4194644-3 gnd Fuchs-Differentialgleichung (DE-588)4155564-8 gnd |
| subject_GND | (DE-588)4155901-0 (DE-588)4012249-9 (DE-588)4194644-3 (DE-588)4155564-8 |
| title | Galois' dream group theory and differential equations |
| title_alt | Garoa no yume |
| title_auth | Galois' dream group theory and differential equations |
| title_exact_search | Galois' dream group theory and differential equations |
| title_full | Galois' dream group theory and differential equations Michio Kuga |
| title_fullStr | Galois' dream group theory and differential equations Michio Kuga |
| title_full_unstemmed | Galois' dream group theory and differential equations Michio Kuga |
| title_short | Galois' dream |
| title_sort | galois dream group theory and differential equations |
| title_sub | group theory and differential equations |
| topic | Differentiaalvergelijkingen gtt Equacoes diferenciais ordinarias larpcal Galois-theorie gtt Differential equations Galois theory Monodromy groups Galois-Theorie (DE-588)4155901-0 gnd Differentialgleichung (DE-588)4012249-9 gnd Monodromiegruppe (DE-588)4194644-3 gnd Fuchs-Differentialgleichung (DE-588)4155564-8 gnd |
| topic_facet | Differentiaalvergelijkingen Equacoes diferenciais ordinarias Galois-theorie Differential equations Galois theory Monodromy groups Galois-Theorie Differentialgleichung Monodromiegruppe Fuchs-Differentialgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=005401144&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT kugamichio garoanoyume AT kugamichio galoisdreamgrouptheoryanddifferentialequations |