A first course in linear algebra:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo
World Scientific
[2016]
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Includes index |
| Beschreibung: | xii, 376 Seiten Diagramme |
| ISBN: | 9789813143104 9789813143111 |
Internformat
MARC
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| 020 | |a 9789813143111 |9 978-981-3143-11-1 | ||
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| 035 | |a (DE-599)BVBBV043851120 | ||
| 040 | |a DE-604 |b ger |e rda | ||
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| 245 | 1 | 0 | |a A first course in linear algebra |c Minking Eie, Shou-Te Chang, National Chung Cheng University, Taiwan |
| 264 | 1 | |a New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo |b World Scientific |c [2016] | |
| 300 | |a xii, 376 Seiten |b Diagramme | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 500 | |a Includes index | ||
| 650 | 4 | |a Algebras, Linear |v Textbooks | |
| 650 | 4 | |a Algebra |v Textbooks | |
| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Lineare Algebra |0 (DE-588)4035811-2 |D s |
| 689 | 0 | |5 DE-604 | |
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| 856 | 4 | 2 | |m Digitalisierung UB Passau - ADAM Catalogue Enrichment |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029261428&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-029261428 | ||
Datensatz im Suchindex
| _version_ | 1804176724371439616 |
|---|---|
| adam_text | Contents
Preface v
1 Vector Spaces 1
1.1 A few words on sets and logics........................... 2
1.2 What constitutes a vector space?......................... 8
1.3 Subspaces............................................... 18
1.4 How to solve a system of linear equations............... 24
2 Bases and Dimension 37
2.1 Observations in R2 and in R3 .......................... 38
2.2 Linear combinations..................................... 42
2.3 Linear dependence and independence ..................... 51
2.4 Bases and dimension..................................... 61
2.5 Applications ........................................... 73
2.6 Further examples........................................ 83
3 Linear Transformations and Matrices 93
3.1 Linear transformations ................................. 94
3.2 Isomorphisms........................................... 101
3.3 Range and null space .................................. 105
xii Contents
3.4 Matrices and linear transformations ..................... 115
3.5 Composites and inverses.................................. 126
4 Elementary Matrix Operations 135
4.1 Elementary matrix operations............................. 136
4.2 The rank and the inverse of a matrix .................... 142
4.3 A description of determinants ........................... 157
4.4 Applications in linear programming ...................... 168
5 Diagonalization 181
5.1 Base change ............................................. 182
5.2 Eigenvalues and eigenvectors ........................... 191
5.3 Diagonalizability........................................ 200
5.4 Powers of a square matrix ............................... 212
5.5 Differential equations .................................. 231
6 Canonical Forms 247
6.1 Cayley-Hamilton theorem.................................. 248
6.2 Jordan canonical forms................................... 267
6.3 How to find Jordan canonical forms ...................... 279
7 Inner Product Spaces 303
7.1 Inner product spaces .................................. 304
7.2 Norm and angle .......................................... 315
7.3 The spectral theorem .................................... 329
7.4 Applications of the spectral theorem..................... 345
7.5 The method of least squares.............................. 357
7.6 The T2-approximation of a continuous function............ 366
Index
373
|
| any_adam_object | 1 |
| author | Eie, Minking 1952- Chang, Shou-Te 19XX- |
| author_GND | (DE-588)140942785 (DE-588)141170972 |
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| classification_tum | MAT 150f |
| ctrlnum | (OCoLC)965333032 (DE-599)BVBBV043851120 |
| dewey-full | 512/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5 |
| dewey-search | 512/.5 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV043851120 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:36:44Z |
| institution | BVB |
| isbn | 9789813143104 9789813143111 |
| language | English |
| lccn | 016013684 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029261428 |
| oclc_num | 965333032 |
| open_access_boolean | |
| owner | DE-91G DE-BY-TUM DE-739 |
| owner_facet | DE-91G DE-BY-TUM DE-739 |
| physical | xii, 376 Seiten Diagramme |
| publishDate | 2016 |
| publishDateSearch | 2016 |
| publishDateSort | 2016 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Eie, Minking 1952- Verfasser (DE-588)140942785 aut A first course in linear algebra Minking Eie, Shou-Te Chang, National Chung Cheng University, Taiwan New Jersey ; London ; Singapore ; Beijing ; Shanghai ; Hong Kong ; Taipei ; Chennai ; Tokyo World Scientific [2016] xii, 376 Seiten Diagramme txt rdacontent n rdamedia nc rdacarrier Includes index Algebras, Linear Textbooks Algebra Textbooks Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 Chang, Shou-Te 19XX- Verfasser (DE-588)141170972 aut 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=029261428&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Eie, Minking 1952- Chang, Shou-Te 19XX- A first course in linear algebra Algebras, Linear Textbooks Algebra Textbooks Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 |
| title | A first course in linear algebra |
| title_auth | A first course in linear algebra |
| title_exact_search | A first course in linear algebra |
| title_full | A first course in linear algebra Minking Eie, Shou-Te Chang, National Chung Cheng University, Taiwan |
| title_fullStr | A first course in linear algebra Minking Eie, Shou-Te Chang, National Chung Cheng University, Taiwan |
| title_full_unstemmed | A first course in linear algebra Minking Eie, Shou-Te Chang, National Chung Cheng University, Taiwan |
| title_short | A first course in linear algebra |
| title_sort | a first course in linear algebra |
| topic | Algebras, Linear Textbooks Algebra Textbooks Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algebras, Linear Textbooks Algebra Textbooks Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029261428&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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