Lineare Algebra und analytische Geometrie:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Wiesbaden
Springer Spektrum
[2018]
|
| Subjects: | |
| Online Access: | Inhaltstext http://www.springer.com/ Inhaltsverzeichnis |
| Physical Description: | x, 464 Seiten Illustrationen, Diagramme 24 cm x 16.8 cm |
| ISBN: | 9783658226190 3658226196 |
Staff View
MARC
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| 245 | 1 | 0 | |a Lineare Algebra und analytische Geometrie |c Christian Bär |
| 264 | 1 | |a Wiesbaden |b Springer Spektrum |c [2018] | |
| 264 | 4 | |c © 2018 | |
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| 653 | |a Analytische Geometrie | ||
| 653 | |a Christian Bär | ||
| 653 | |a Determinanten | ||
| 653 | |a Interaktive Illustrationen | ||
| 653 | |a Interaktive Übungsseiten | ||
| 653 | |a Lineare Abbildungen | ||
| 653 | |a Lineare Algebra | ||
| 653 | |a Matrixrechnung | ||
| 653 | |a Vektorprodukt | ||
| 653 | |a Vektorräume | ||
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Record in the Search Index
| _version_ | 1804179128358797312 |
|---|---|
| adam_text | INHALTSVERZEICHNIS
1. GRUNDLAGEN 1
1.1. PRAEZISION IST GEFRAGT: MATHEMATISCHES FORMULIEREN
..........................................
1
1.2. B EW
EISE............................................................................................................
5
1.3. M EN G EN
............................................................................................................
11
1.4.
ABBILDUNGEN......................................................................................................
19
1.5. VOLLSTAENDIGE IN D U K TIO N
....................................................................................
34
1.6. A UFG AB EN
.........................................................................................................
38
2. MATRIXRECHNUNG 43
2.1. LINEARE
GLEICHUNGSSYSTEME..............................................................................
43
2.2. LINEARE UNABHAENGIGKEIT UND B
ASEN..................................................................
58
2.3. DER
GAUSS-ALGORITHMUS....................................................................................
69
2.4. GEOMETRIE DER EBENE, TEIL 1 78
2.5. DIE KOMPLEXEN Z A H LE N
....................................................................................
98
2.6. A U
FGABEN.........................................................................................................
121
3. ALGEBRAISCHE GRUNDBEGRIFFE 127
3.1. ABSTRAKTES RECHNEN: GRUPPEN UND HALBGRUPPEN
................................................
127
3.2. ZWEI RECHENARTEN IM ZUSAMMENSPIEL: RINGE UND K OE RP ER
..................................
145
3.3. VEKTORRAEUME
...................................................................................................
154
3.4. B A S E N
...............................................................................................................
160
3.5. A U
FGABEN.........................................................................................................
172
4. LINEARE ABBILDUNGEN 177
4.1. GRUNDLEGENDE
DEFINITIONEN..............................................................................
177
4.2. LINEARE ABBILDUNGEN UND M
ATRIZEN..................................................................
184
4.3. DETERMINANTEN
....................................................................................................204
4.4. O
RIENTIERUNGEN....................................................................................................223
4.5. A
UFGABEN.............................................................................................................230
5. GEOMETRIE 235
5.1. AFFINE UNTERRAEUME UND AFFINE
ABBILDUNGEN..........................................................235
5.2. V OLUM
INA.............................................................................................................242
5.3. GEOMETRIE DER EBENE, TEIL 2
...............................................................................250
5.4. DAS
VEKTORPRODUKT..............................................................................................263
5.5. A
UFGABEN.............................................................................................................267
X
INHALTSVERZEICHNIS
6. EIGENWERTPROBLEME 271
6.1. POLYNOM
E.............................................................................................................
271
6.2. EIGENWERTE UND
EIGENVEKTOREN............................................................................
281
6.3.
DIAGONALISIERBARKEIT..............................................................................................
290
6.4. INVARIANTE UNTERVEKTORRAEUME UND TRIGONALISIERBARKEIT
........................................
303
6.5. ALGEBREN UND DAS MINIMALPOLYNOM
................................................................... 312
6.6. DIE JORDAN*SCHE NORM ALFORM
...............................................................................
323
6.7. A U FG AB EN
.............................................................................................................
332
7. BILINEARE ALGEBRA 339
7.1. BILINEARE A
BBILDUNGEN........................................................................................
339
7.2. QUADRIKEN UND
KEGELSCHNITTE...............................................................................
358
7.3. EUKLIDISCHE
VEKTORRAEUME.....................................................................................
370
7.4. ADJUNGIERTE ABBILDUNGEN UND SELBSTADJUNGIERTE ENDOM ORPHISMEN
...................
379
7.5. ORTHOGONALE
ENDOMORPHISMEN............................................................................
382
7.6. UNITAERE VEKTORRAEUME UND
ENDOMORPHISMEN.......................................................
391
7.7. SCHIEFSYMMETRISCHE
ENDOMORPHISMEN................................................................
399
7.8. SCHIEFSYMMETRISCHE BILINEARFORM
EN...................................................................402
7.9. A U FG AB EN
.............................................................................................................
405
A. ANWENDUNGEN 411
A. 1. GRAPHENTHEORIE - ETWAS K OM
BINATORIK................................................................
411
A.2.
CODIERUNGSTHEORIE.................................................................................................
417
A.3. WEITERE
VOLUMENBERECHNUNGEN............................................................................
421
A.4. RANKING VON W
EBSEITEN........................................................................................
433
A. 5. DIFFERENTIALGLEICHUNGSSYSTEME MIT KONSTANTEN KOEFFIZIENTEN
............................
438
B. WAS SONST NOCH INTERESSANT IST 443
B. L. DAS GRIECHISCHE ALPHABET
.................................................................................
443
B.2. BEWEIS DES FUNDAMENTALSATZES DER A LG E B RA
.......................................................444
B.3. PRAKTISCHE INVERTIERUNG VON
MATRIZEN...................................................................445
B.4. BEWEIS DES SATZES VON DER JORDAN*SEHEN NORMAL FO R M
........................................446
B.5. HYPERBOLISCHE F
UNKTIONEN..................................................................................450
LITERATUR 453
INDEX
455
|
| any_adam_object | 1 |
| author | Bär, Christian 1962- |
| author_GND | (DE-588)122489624 |
| author_facet | Bär, Christian 1962- |
| author_role | aut |
| author_sort | Bär, Christian 1962- |
| author_variant | c b cb |
| building | Verbundindex |
| bvnumber | BV045325200 |
| classification_rvk | SK 220 |
| ctrlnum | (OCoLC)1043088648 (DE-599)DNB1161821597 |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-10T08:14:56Z |
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| institution_GND | (DE-588)1043386068 |
| isbn | 9783658226190 3658226196 |
| language | German |
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| physical | x, 464 Seiten Illustrationen, Diagramme 24 cm x 16.8 cm |
| publishDate | 2018 |
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| publisher | Springer Spektrum |
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| spelling | Bär, Christian 1962- Verfasser (DE-588)122489624 aut Lineare Algebra und analytische Geometrie Christian Bär Wiesbaden Springer Spektrum [2018] © 2018 x, 464 Seiten Illustrationen, Diagramme 24 cm x 16.8 cm txt rdacontent n rdamedia nc rdacarrier Mathematik (DE-588)4037944-9 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Analytische Geometrie (DE-588)4001867-2 gnd rswk-swf Analytische Geometrie Christian Bär Determinanten Interaktive Illustrationen Interaktive Übungsseiten Lineare Abbildungen Lineare Algebra Matrixrechnung Vektorprodukt Vektorräume (DE-588)4123623-3 Lehrbuch gnd-content Lineare Algebra (DE-588)4035811-2 s Analytische Geometrie (DE-588)4001867-2 s DE-604 Mathematik (DE-588)4037944-9 s 1\p DE-604 Springer Fachmedien Wiesbaden (DE-588)1043386068 pbl Erscheint auch als Online-Ausgabe, eBook 978-3-658-22620-6 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=ce4a3442a96a494d842935b4697725fa&prov=M&dok_var=1&dok_ext=htm Inhaltstext X:MVB http://www.springer.com/ DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=030712130&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bär, Christian 1962- Lineare Algebra und analytische Geometrie Mathematik (DE-588)4037944-9 gnd Lineare Algebra (DE-588)4035811-2 gnd Analytische Geometrie (DE-588)4001867-2 gnd |
| subject_GND | (DE-588)4037944-9 (DE-588)4035811-2 (DE-588)4001867-2 (DE-588)4123623-3 |
| title | Lineare Algebra und analytische Geometrie |
| title_auth | Lineare Algebra und analytische Geometrie |
| title_exact_search | Lineare Algebra und analytische Geometrie |
| title_full | Lineare Algebra und analytische Geometrie Christian Bär |
| title_fullStr | Lineare Algebra und analytische Geometrie Christian Bär |
| title_full_unstemmed | Lineare Algebra und analytische Geometrie Christian Bär |
| title_short | Lineare Algebra und analytische Geometrie |
| title_sort | lineare algebra und analytische geometrie |
| topic | Mathematik (DE-588)4037944-9 gnd Lineare Algebra (DE-588)4035811-2 gnd Analytische Geometrie (DE-588)4001867-2 gnd |
| topic_facet | Mathematik Lineare Algebra Analytische Geometrie Lehrbuch |
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