Fundamentals of linear algebra:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
Chelsea Publ. Co.
1979
|
| Edition: | 2. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X,325 S. |
| ISBN: | 0828402760 |
Staff View
MARC
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Record in the Search Index
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|---|---|
| adam_text | Contents
Prefaces Hi
Suggestions for Class Use vii
Chapter 1 Introduction 1
1.1 Systems of linear equations 1
1.2 Differential equations 7
1.3 Vectors on the plane 10
1.4 Change of coordinates 22
Chapter 2 Vector Spaces 32
2.1 (R» andC 32
2.2 Vector spaces 34
2.3 Subspaces Ifi
2.4 Linear independence; basis 42
2.5 Dimensions of subspaces 43
Chapter 3 Linear Mappings and Matrices 52
3.1 Linear mappings 52
3.2 Matrices 60
3.3 Change of bases 67
3.4 Elementary operations 74
3.5 Systems of linear equations 81
Chapter 4 Construction of Vector Spaces 88
4.1 Dual space 88
4.2 Direct sum and quotient space 94
4.3 Bilinear functions 100
Chapter 5 Some Algebraic Concepts 112
5.1 Fields 112
5.2 Polynomials 116
5.3 Ideals and factorization in 5 [i] 121
5.4 Extension of fields 127
5.5 Construction of extensions 183
5.6 Quotient fields 137
z Contents
5.7 Extension of vector spaces 140
5.8 Modules 143
Chapter 6 Determinants 148
6.1 Permutations 148
6.2 Alternating n linear functions 155
6.3 Determinants 161
6.4 Expansions of determinants 169
6.5 Determinant of a linear transformation 176
6.6 Cramer s formula 178
Chapter 7 Minimal Polynomials 181
7.1 Eigenvalues and characteristic polynomials 181
7.2 Minimal polynomials 187
7.3 Nilpotent transformations 197
7.4 Jordan canonical form 204
7.5 Schur s lemma and complex structures 209
Chapter 8 Inner Product 218
8.1 Inner product 218
8.2 Subspaces 227
8.3 Dual space 281
8.4 Hermitian and unitary transformations 236
8.5 Normal transformations 239
8.6 Symmetric transformations 246
8.7 Orthogonal transformations 260
Chapter 9 Affine Spaces 259
9.1 Affine spaces 259
9.2 Affine transformations 265
9.3 Affine subspaces 272
9.4 Representations of affine subspaces 276
Chapter 10 Euclidean Spaces 284
10.1 Euclidean spaces 284
10.2 Subspaces 288
10.3 Isometries 294
10.4 Classification of isometries 300
Appendix 309
Notation 313
Index 315
Solutions 329
|
| any_adam_object | 1 |
| author | Nomizu, Katsumi 1924-2008 |
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| ctrlnum | (OCoLC)2964460 (DE-599)BVBBV001935620 |
| 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 |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV001935620 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:37:31Z |
| institution | BVB |
| isbn | 0828402760 |
| language | English |
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| physical | X,325 S. |
| publishDate | 1979 |
| publishDateSearch | 1979 |
| publishDateSort | 1979 |
| publisher | Chelsea Publ. Co. |
| record_format | marc |
| spelling | Nomizu, Katsumi 1924-2008 Verfasser (DE-588)119350238 aut Fundamentals of linear algebra Katsumi Nomizu 2. ed. New York Chelsea Publ. Co. 1979 X,325 S. txt rdacontent n rdamedia nc rdacarrier Algèbre linéaire Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001261625&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Nomizu, Katsumi 1924-2008 Fundamentals of linear algebra Algèbre linéaire Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 |
| title | Fundamentals of linear algebra |
| title_auth | Fundamentals of linear algebra |
| title_exact_search | Fundamentals of linear algebra |
| title_full | Fundamentals of linear algebra Katsumi Nomizu |
| title_fullStr | Fundamentals of linear algebra Katsumi Nomizu |
| title_full_unstemmed | Fundamentals of linear algebra Katsumi Nomizu |
| title_short | Fundamentals of linear algebra |
| title_sort | fundamentals of linear algebra |
| topic | Algèbre linéaire Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algèbre linéaire Algebras, Linear Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001261625&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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