Lineare Algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Lemgo
Heldermann
2008
|
| Edition: | 2. Aufl. |
| Series: | Berliner Studienreihe zur Mathematik
7 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 410 S. graph. Darst. |
| ISBN: | 9783885381075 3885381079 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Inhaltsverzeichnis Vorwort 0 Einige typische Fragen der Linearen Algebra 1 Grundlagen 29 §1 Mengen.................................................................................................................. 29 §2 Relationen............................................................................................................ 40 §3 Abbildungen......................................................................................................... 45 §4 Die Induktion...................................................................................................... 53 §5 Mächtigkeit einer Menge.................................................................................... 56 Algebraische Grundstrukturen 63 §6 Gruppen............................................................................................................... 63 §7 Ringe und Körper................................................................................................ 83 Vektorraum 89 §8 Vektorräume und Unterräume........................................................................... 89 2 3 1 §9 Lineare Abhängigkeit, Basis, Dimension.............................................................. 102 §10 Der Faktorraum .................................................................................................. 118 §11 Vektorräume beliebiger Dimension.................................................................... 124 4 Lineare Abbildungen und Matrizen 127 §12 Lineare Abbildungen............................................................................................
127
Inhal tsverzeichnis §13 Das Rechnen mit linearen Abbildungen ............................................................141 §14 Matrizen ...............................................................................................................151 §15 Das lineare Gleichungssystem..............................................................................177 §16 Die symmetrische Gruppe....................................................................................184 §17 Volumen und Determinante.................................................................................190 §18 Berechnung und Anwendung der Determinante................................................199 §19 Affine Geometrie.................................................................................................. 214 §20 Dualität................................................................................................................. 223 5 Optimierung 239 §21 Lineare Optimierung.............................................................................................239 §22 Das Simplexverfahren..........................................................................................267 6 Normalformen 283 §23 Direkte Summen und Projektionen.....................................................................283 §24 Eigenwerte............................................................................................................290 §25 Polynome.............................................................................................................. 300 §26
Charakteristisches Polynom und Minimalpolynom............................................ 312 §27 Die Jordansche Normalform................................................................................ 324 7 Vektorräume mit Skalarprodukt §28 Normierte Räume 337 ............................................................................................... 337 §29 Vektorräume mit definitem Skalarprodukt........................................................ 350 §30 Hermitesche, unitäre und normale Abbildungen................................................371 §31 Orthogonale Abbildungen im lRn........................................................................379 §32 Quadriken.............................................................................................................. 390 Index 403 Literatur 409
|
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| id | DE-604.BV041383646 |
| illustrated | Illustrated |
| indexdate | 2024-07-10T00:55:29Z |
| institution | BVB |
| isbn | 9783885381075 3885381079 |
| language | German |
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| physical | 410 S. graph. Darst. |
| publishDate | 2008 |
| publishDateSearch | 2008 |
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| publisher | Heldermann |
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| series | Berliner Studienreihe zur Mathematik |
| series2 | Berliner Studienreihe zur Mathematik |
| spelling | Stroth, Gernot 1949- Verfasser (DE-588)1020107278 aut Lineare Algebra Gernot Stroth 2. Aufl. Lemgo Heldermann 2008 410 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Berliner Studienreihe zur Mathematik 7 Lineare Algebra (DE-588)4035811-2 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Lineare Algebra (DE-588)4035811-2 s DE-604 Berliner Studienreihe zur Mathematik 7 (DE-604)BV000643532 7 Digitalisierung UB Passau - ADAM Catalogue Enrichment application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026831591&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Stroth, Gernot 1949- Lineare Algebra Berliner Studienreihe zur Mathematik Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4123623-3 |
| title | Lineare Algebra |
| title_auth | Lineare Algebra |
| title_exact_search | Lineare Algebra |
| title_full | Lineare Algebra Gernot Stroth |
| title_fullStr | Lineare Algebra Gernot Stroth |
| title_full_unstemmed | Lineare Algebra Gernot Stroth |
| title_short | Lineare Algebra |
| title_sort | lineare algebra |
| topic | Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Lineare Algebra Lehrbuch |
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