Übungsbuch zur Analysis: Aufgaben und Lösungen 1
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Main Author: | |
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Format: | Book |
Language: | German |
Published: |
Braunschweig [u.a.]
Vieweg
2013
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Edition: | 6., erw. Aufl. |
Series: | Grundkurs Mathematik
Lehrbuch Vieweg Studium ... |
Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025488907&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Physical Description: | VIII, 192 S. Ill., graph. Darst. |
ISBN: | 9783658003357 |
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adam_text | Inhaltsverzeichnis
I
Aufgaben 1
§ 1 Vollständige Induktion..................... 3
§ 2 Die Körperaxiome ....................... 7
§ 3 Anordnungsaxiome....................... 10
§ 4 Folgen, Grenzwerte....................... 12
§ 5 Das Vollständigkeitsaxiom................... 14
§ 6 Wurzeln............................. 16
§7 Konvergenzkriterien für Reihen................. 18
§ 8 Die Exponentialreihe...................... 21
§ 9 Punktmengen.......................... 22
§ 10 Funktionen, Stetigkeit...................... 25
§ 11 Sätze über stetige Funktionen.................. 26
§ 12 Logarithmus und allgemeine Potenz.............. 28
§ 13 Die Exponentialfunktion im Komplexen............ 31
§ 14 Trigonometrische Funktionen.................. 32
§ 15 Differentiation.......................... 35
§ 16 Lokale
Extrema.
Mittelwertsatz. Konvexität.......... 37
§ 17 Numerische Lösung von Gleichungen............. 39
§ 18 Das Riemannsche Integral ................... 41
§ 19 Integration und Differentiation................. 43
§ 20 Uneigentliche Integrale. Die Gamma-Funktion........ 49
§21 Gleichmäßige Konvergenz von Funktionenfolgen....... 51
§ 22 Taylor-Reihen.......................... 52
5 23 Fourier-Reihen......................... 54
II
Lösungen 59
§ 1 Vollständige Induktion..................... 61
§ 2 Die Körperaxiome ....................... 71
§ 3 Anordnungsaxiome....................... 77
§ 4 Folgen, Grenzwerte....................... 81
§ 5 Das Vollständigkeitsaxiom................... 85
§6 Wurzeln............................. 93
§ 7 Konvergenzkriterien für Reihen................. 98
§ 8 Die Exponentialreihe...................... 105
§9 Punktmengen.......................... 109
§ 10 Funktionen, Stetigkeit...................... 116
§11 Sätze über stetige Funktionen.................. 118
§ 12 Logarithmus und allgemeine Potenz.............. 123
§ 13 Die Exponentialfunktion im Komplexen............ 128
§ 14 Trigonometrische Funktionen.................. 132
§ 15 Differentiation.......................... 141
§ 16 Lokale
Extrema.
Mittelwertsatz. Konvexität.......... 147
§ 17 Numerische Lösung von Gleichungen............. 155
§ 18 Das Riemannsche Integral ................... 165
§ 19 Integration und Differentiation................. 168
§ 20 Uneigentliche Integrale. Die Gamma-Funktion........ 177
§21 Gleichmäßige Konvergenz von Funktionenfolgen....... 181
§ 22 Taylor-Reihen.......................... 183
8 23 Fourier-Reihen......................... 187
|
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author | Forster, Otto 1937- Forster, Otto 1937- |
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building | Verbundindex |
bvnumber | BV040662170 |
classification_rvk | SK 400 |
ctrlnum | (OCoLC)826579132 (DE-599)BVBBV040662170 |
discipline | Mathematik |
edition | 6., erw. Aufl. |
format | Book |
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id | DE-604.BV040662170 |
illustrated | Illustrated |
indexdate | 2024-12-20T16:19:59Z |
institution | BVB |
isbn | 9783658003357 |
language | German |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025488907 |
oclc_num | 826579132 |
open_access_boolean | |
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physical | VIII, 192 S. Ill., graph. Darst. |
publishDate | 2013 |
publishDateSearch | 2013 |
publishDateSort | 2013 |
publisher | Vieweg |
record_format | marc |
series2 | Grundkurs Mathematik Lehrbuch Vieweg Studium |
spellingShingle | Forster, Otto 1937- Forster, Otto 1937- Übungsbuch zur Analysis Aufgaben und Lösungen |
title | Übungsbuch zur Analysis Aufgaben und Lösungen |
title_auth | Übungsbuch zur Analysis Aufgaben und Lösungen |
title_exact_search | Übungsbuch zur Analysis Aufgaben und Lösungen |
title_full | Übungsbuch zur Analysis Aufgaben und Lösungen 1 Otto Forster, Rüdiger Wessoly |
title_fullStr | Übungsbuch zur Analysis Aufgaben und Lösungen 1 Otto Forster, Rüdiger Wessoly |
title_full_unstemmed | Übungsbuch zur Analysis Aufgaben und Lösungen 1 Otto Forster, Rüdiger Wessoly |
title_short | Übungsbuch zur Analysis |
title_sort | ubungsbuch zur analysis aufgaben und losungen |
title_sub | Aufgaben und Lösungen |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025488907&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV010166636 |
work_keys_str_mv | AT forsterotto ubungsbuchzuranalysisaufgabenundlosungen1 AT wessolyrudiger ubungsbuchzuranalysisaufgabenundlosungen1 AT szymczakthomas ubungsbuchzuranalysisaufgabenundlosungen1 |
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0303 MAT 260f 2007 L 133-1,2(6)
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