Invitation to linear algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton ; London ; New York
CRC Press
[2017]
|
| Schriftenreihe: | Textbooks in mathematics
A Chapman & Hall Book |
| Schlagworte: | |
| Online-Zugang: | TUM01 UEI01 Inhaltsverzeichnis |
| Beschreibung: | 1 Online-Ressource (xiii, 394 Seiten) Illustrationen, Diagramme |
| ISBN: | 9781498779579 |
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| 245 | 1 | 0 | |a Invitation to linear algebra |c David C. Mello |
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| 300 | |a 1 Online-Ressource (xiii, 394 Seiten) |b Illustrationen, Diagramme | ||
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Datensatz im Suchindex
| _version_ | 1804177785577537536 |
|---|---|
| adam_text | Titel: Invitation to linear algebra
Autor: Mello, David C
Jahr: 2017
Contents
Page
To the Instructor ix
To the Student x
Unit I: Matrices and Linear Systems
Lesson Topic
1. Introduction to Matrices 3
2. Matrix Multiplication 11
3. Additional Topics in Matrix Algebra 19
4. Introduction to Linear Systems 25
5. The Inverse of a Matrix 41
Unit II: Determinants
Lesson Topic
6. Introduction to Determinants 53
7. Properties of Determinants 63
8. Applications of Determinants 71
Unit III: A First Look at Vector Spaces
Lesson Topic
9 Introduction to Vector Spaces 81
10 Subspaces of Vector Spaces 89
11 Linear Dependence and Independence 93
12 Basis and Dimension 101
13 The Rank of a Matrix 4 109
14 Linear Systems Revisited 117
vii
Contents
Unit IV: More About Vector Spaces
Lesson Topic Page
15. Sums and Direct Sums of Subspaces 129
16. Quotient Spaces 137
17. Change ofBasis 147
18. Euclidean Spaces 155
19. Orthonormal Bases 163
Unit V: Linear Transformations
Lesson
Topic
20.
Introduction to Linear Transformations
177
21.
Isomorphisms of Vector Spaces
183
22.
The Kernel and Range of a Linear Transformation
187
23.
Matrices of Linear Transformations
195
24.
Similar Matrices
205
Unit VI: Matrix Diagonalization
Lesson
Topic
25.
Eigenvalues and Eigenvectors
215
26.
Diagonalization of Square Matrices
225
27.
Diagonalization of Symmetric Matrices
233
Contents
Unit VII: Complex Vector Spaces
i
Lesson Topic Page
28. Complex Vector Spaces 243
29. Unitary and Hermitian Matrices 251
Unit VIII: Advanced Topics
Lesson Topic
30. Powers of Matrices 263
31. Functions of a Square Matrix 269
32. Matrix Power Series 275
33. Minimal Polynomials 289
34. Direct Sum Decompositions 295
35. Jordan Canonical Form 305
Unit IX: Applications
Lesson Topic
36. Systems of First Order Differential Equations 323
37. Stability Analysis of First Order Systems 331
38. Coupled Oscillations 341
ix
Contents
Appendix
Page
Solutions and Hints to Selected Exercises 349
References 383
Index 385
|
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| discipline | Mathematik |
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| indexdate | 2024-07-10T07:53:36Z |
| institution | BVB |
| isbn | 9781498779579 |
| language | English |
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| physical | 1 Online-Ressource (xiii, 394 Seiten) Illustrationen, Diagramme |
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| publishDate | 2017 |
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| series2 | Textbooks in mathematics A Chapman & Hall Book |
| spelling | Mello, David C. 1950- Verfasser (DE-588)1042854777 aut Invitation to linear algebra David C. Mello Boca Raton ; London ; New York CRC Press [2017] 1 Online-Ressource (xiii, 394 Seiten) Illustrationen, Diagramme txt rdacontent c rdamedia cr rdacarrier Textbooks in mathematics A Chapman & Hall Book Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 Erscheint auch als Druck-Ausgabe 978-1-4987-7956-2 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=029862314&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mello, David C. 1950- Invitation to linear algebra Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 |
| title | Invitation to linear algebra |
| title_auth | Invitation to linear algebra |
| title_exact_search | Invitation to linear algebra |
| title_full | Invitation to linear algebra David C. Mello |
| title_fullStr | Invitation to linear algebra David C. Mello |
| title_full_unstemmed | Invitation to linear algebra David C. Mello |
| title_short | Invitation to linear algebra |
| title_sort | invitation to linear algebra |
| topic | Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Lineare Algebra |
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