Linear algebra done right:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
New York [u.a.]
Springer
1997
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Undergraduate texts in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XV, 251 S. graph. Darst. |
| ISBN: | 0387982582 0387982590 |
Internformat
MARC
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| 245 | 1 | 0 | |a Linear algebra done right |c Sheldon Axler |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Springer |c 1997 | |
| 300 | |a XV, 251 S. |b graph. Darst. | ||
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Datensatz im Suchindex
| _version_ | 1804126105050808320 |
|---|---|
| adam_text | SHELDON AXLER LINEAR ALGEBRA DONE RIGHT SECOND EDITION SPRINGER CONTENTS
PREFACE TO THE INSTRUCTOR IX PREFACE TO THE STUDENT XIII ACKNOWLEDGMENTS
XV CHAPTER 1 VECTOR SPACES 1 COMPLEX NUMBERS 2 DEFINITION OF VECTOR
SPACE 4 PROPERTIES OF VECTOR SPACES 11 SUBSPACES 13 SUMS AND DIRECT SUMS
14 EXERCISES 19 CHAPTER 2 FINITE-DIMENSIONAL VECTOR SPACES 21 SPAN AND
LINEAR INDEPENDENCE 22 BASES 27 DIMENSION 31 EXERCISES 35 CHAPTER 3
LINEAR MAPS 37 DEFINITIONS AND EXAMPLES 38 NULL SPACES AND RANGES 41 THE
MATRIX OF A LINEAR MAP 48 INVERTIBILITY 53 EXERCISES 59 VI CONTENTS
CHAPTER 4 POLYNOMIALS 63 DEGREE 64 COMPLEX COEFFICIENTS 67 REAL
COEFFICIENTS 69 EXERCISES 73 CHAPTER 5 EIGENVALUES AND EIGENVECTORS 75
INVARIANT SUBSPACES 76 POLYNOMIALS APPLIED TO OPERATORS 80
UPPER-TRIANGULAR MATRICES 81 DIAGONAL MATRICES 87 INVARIANT SUBSPACES ON
REAL VECTOR SPACES 91 EXERCISES 94 CHAPTER 6 INNER-PRODUCT SPACES 97
INNER PRODUCTS 98 NORMS 102 ORTHONORMAL BASES 106 ORTHOGONAL PROJECTIONS
AND MINIMIZATION PROBLEMS ILL LINEAR FUNCTIONALS AND ADJOINTS 117
EXERCISES 122 CHAPTER 7 OPERATORS ON DINER-PRODUCT SPACES 127
SELF-ADJOINT AND NORMAL OPERATORS 128 THE SPECTRAL THEOREM 132 NORMAL
OPERATORS ON REAL INNER-PRODUCT SPACES 138 POSITIVE OPERATORS 144
ISOMETRIES 147 POLAR AND SINGULAR-VALUE DECOMPOSITIONS 152 EXERCISES 158
CHAPTER 8 OPERATORS ON COMPLEX VECTOR SPACES 163 GENERALIZED
EIGENVECTORS 164 THE CHARACTERISTIC POLYNOMIAL 168 DECOMPOSITION OF AN
OPERATOR 173 CONTENTS VII SQUARE ROOTS 177 THE MINIMAL POLYNOMIAL 179
JORDAN FORM 183 EXERCISES 188 CHAPTER 9 OPERATORS ON REAL VECTOR SPACES
193 EIGENVALUES OF SQUARE MATRICES 194 BLOCK UPPER-TRIANGULAR MATRICES
195 THE CHARACTERISTIC POLYNOMIAL 198 EXERCISES 210 CHAPTER 10 TRACE AND
DETERMINANT 213 CHANGE OF BASIS 214 TRACE 216 DETERMINANT OF AN OPERATOR
222 DETERMINANT OF A MATRIX 225 VOLUME 236 EXERCISES 244 SYMBOL INDEX
247 INDEX 249
|
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| author_GND | (DE-588)113221231 |
| author_facet | Axler, Sheldon Jay 1949- |
| author_role | aut |
| author_sort | Axler, Sheldon Jay 1949- |
| author_variant | s j a sj sja |
| building | Verbundindex |
| bvnumber | BV011578708 |
| classification_rvk | SK 220 |
| classification_tum | MAT 150f |
| ctrlnum | (OCoLC)318373620 (DE-599)BVBBV011578708 |
| 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 | 3512.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| id | DE-604.BV011578708 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:12:09Z |
| institution | BVB |
| isbn | 0387982582 0387982590 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007797183 |
| oclc_num | 318373620 |
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| physical | XV, 251 S. graph. Darst. |
| publishDate | 1997 |
| publishDateSearch | 1997 |
| publishDateSort | 1997 |
| publisher | Springer |
| record_format | marc |
| series2 | Undergraduate texts in mathematics |
| spelling | Axler, Sheldon Jay 1949- Verfasser (DE-588)113221231 aut Linear algebra done right Sheldon Axler 2. ed. New York [u.a.] Springer 1997 XV, 251 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Undergraduate texts in mathematics Hier auch später erschienene, unveränderte Nachdrucke Algebras lineales Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s DE-604 HEBIS Datenaustausch Darmstadt application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007797183&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Axler, Sheldon Jay 1949- Linear algebra done right Algebras lineales Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 |
| title | Linear algebra done right |
| title_auth | Linear algebra done right |
| title_exact_search | Linear algebra done right |
| title_full | Linear algebra done right Sheldon Axler |
| title_fullStr | Linear algebra done right Sheldon Axler |
| title_full_unstemmed | Linear algebra done right Sheldon Axler |
| title_short | Linear algebra done right |
| title_sort | linear algebra done right |
| topic | Algebras lineales Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algebras lineales Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007797183&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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