A (terse) introduction to linear algebra:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, Rhode Island
American Mathematical Society
[2008]
|
| Series: | Student mathematical library
volume 44 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | x, 215 Seiten |
| ISBN: | 9780821844199 0821844199 |
Staff View
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| 245 | 1 | 0 | |a A (terse) introduction to linear algebra |c Yitzhak Katznelson ; Yonatan R. Katznelson |
| 246 | 1 | 3 | |a A terse introduction to linear algebra |
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Record in the Search Index
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| adam_text | YITZHAK KATZNELSON YONATAN R. KATZNELSON IAMS AMERICAN MATHEMATICAL
SOCIETY PROVIDENCE, RHODE ISLAND PREFACE IX VECTOR SPACES 1 1.1 GROUPS
AND FIELDS 1 1.2 VECTOR SPACES 4 1.3 LINEAR DEPENDENCE, BASES, AND
DIMENSION 14 1.4 SYSTEMS OF LINEAR EQUATIONS 22 *1.5 NORMED
FINITE-DIMENSIONAL LINEAR SPACES 32 LINEAR OPERATORS AND MATRICES 35 2.1
LINEAR OPERATORS 35 2.2 OPERATOR MULTIPLICATION 39 2.3 MATRIX
MULTIPLICATION 41 2.4 MATRICES AND OPERATORS 46 2.5 KERNEL, RANGE,
NULLITY, AND RANK . . . . . . ; . . . ; . . 51 *2.6 OPERATOR NORMS 56
DUALITY OF VECTOR SPACES 57 3.1 LINEAR FUNCTIONALS 57 3.2 THE ADJOINT .
. . . 62 DETERMINANTS 65 4.1 PERMUTATIONS 65 4.2 MULTILINEAR MAPS 69 4.3
ALTERNATING N-FORMS 74 4.4 DETERMINANT OF AN OPERATOR 76 4.5 DETERMINANT
OF A MATRIX 79 VI CONTENTS 5 INVARIANT SUBSPACES 85 5.1 THE
CHARACTERISTIC POLYNOMIAL 85 5.2 INVARIANT SUBSPACES 88 5.3 THE MINIMAL
POLYNOMIAL 93 6 INNER-PRODUCT SPACES 103 6.1 INNER PRODUCTS . 103 6.2
DUALITY AND THE ADJOINT ILL 6.3 SELF-ADJOINT OPERATORS 113 6.4 NORMAL
OPERATORS 119 6.5 UNITARY AND ORTHOGONAL OPERATORS 121 *6.6 POSITIVE
DEFINITE OPERATORS 127 *6.7 POLAR DECOMPOSITION 128 *6.8 CONTRACTIONS
AND UNITARY DILATIONS 132 7 STRUCTURE THEOREMS 135 1 7.1 REDUCING
SUBSPACES 135 7.2 SEMISIMPLE SYSTEMS 142 7.3 NILPOTENT OPERATORS 147 7.4
THE JORDAN CANONICAL FORM 151 *7.5 THE CYCLIC DECOMPOSITION, GENERAL
CASE 152 *7.6 THE JORDAN CANONICAL FORM, GENERAL CASE 156 8 ADDITIONAL
TOPICS 159 8.1 FUNCTIONS OF AN OPERATOR 159 8.2 QUADRATIC FORMS 162 ,
8.3 PERRON-FROBENIUS THEORY 166 8.4 STOCHASTIC MATRICES 178 8.5
REPRESENTATION OF FINITE GROUPS 180 A APPENDIX 187 A.I EQUIVALENCE
RELATIONS-PARTITIONS 187 A.2 MAPS 188 A.3 GROUPS 189 *A.4 GROUP ACTIONS
194 A.5 RINGS AND ALGEBRAS 196 CONTENTS VN A.6 POLYNOMIALS 201 INDEX 211
SYMBOLS 215
|
| adam_txt |
YITZHAK KATZNELSON YONATAN R. KATZNELSON IAMS AMERICAN MATHEMATICAL
SOCIETY PROVIDENCE, RHODE ISLAND PREFACE IX VECTOR SPACES 1 1.1 GROUPS
AND FIELDS 1 1.2 VECTOR SPACES 4 1.3 LINEAR DEPENDENCE, BASES, AND
DIMENSION 14 1.4 SYSTEMS OF LINEAR EQUATIONS 22 *1.5 NORMED
FINITE-DIMENSIONAL LINEAR SPACES 32 LINEAR OPERATORS AND MATRICES 35 2.1
LINEAR OPERATORS 35 2.2 OPERATOR MULTIPLICATION 39 2.3 MATRIX
MULTIPLICATION 41 2.4 MATRICES AND OPERATORS 46 2.5 KERNEL, RANGE,
NULLITY, AND RANK . . . . . . ; . . . ; . . 51 *2.6 OPERATOR NORMS 56
DUALITY OF VECTOR SPACES 57 3.1 LINEAR FUNCTIONALS 57 3.2 THE ADJOINT .
. . . 62 DETERMINANTS 65 4.1 PERMUTATIONS 65 4.2 MULTILINEAR MAPS 69 4.3
ALTERNATING N-FORMS 74 4.4 DETERMINANT OF AN OPERATOR 76 4.5 DETERMINANT
OF A MATRIX 79 VI CONTENTS 5 INVARIANT SUBSPACES 85 5.1 THE
CHARACTERISTIC POLYNOMIAL 85 5.2 INVARIANT SUBSPACES 88 5.3 THE MINIMAL
POLYNOMIAL 93 6 INNER-PRODUCT SPACES 103 6.1 INNER PRODUCTS .' 103 6.2
DUALITY AND THE ADJOINT ILL 6.3 SELF-ADJOINT OPERATORS 113 6.4 NORMAL
OPERATORS 119 6.5 UNITARY AND ORTHOGONAL OPERATORS 121 *6.6 POSITIVE
DEFINITE OPERATORS 127 *6.7 POLAR DECOMPOSITION 128 *6.8 CONTRACTIONS
AND UNITARY DILATIONS 132 7 STRUCTURE THEOREMS 135 1 7.1 REDUCING
SUBSPACES 135 7.2 SEMISIMPLE SYSTEMS 142 7.3 NILPOTENT OPERATORS 147 7.4
THE JORDAN CANONICAL FORM 151 *7.5 THE CYCLIC DECOMPOSITION, GENERAL
CASE 152 *7.6 THE JORDAN CANONICAL FORM, GENERAL CASE 156 8 ADDITIONAL
TOPICS 159 8.1 FUNCTIONS OF AN OPERATOR 159 8.2 QUADRATIC FORMS 162 ,
8.3 PERRON-FROBENIUS THEORY 166 8.4 STOCHASTIC MATRICES 178 8.5
REPRESENTATION OF FINITE GROUPS 180 A APPENDIX 187 A.I EQUIVALENCE
RELATIONS-PARTITIONS 187 A.2 MAPS 188 A.3 GROUPS 189 *A.4 GROUP ACTIONS
194 A.5 RINGS AND ALGEBRAS 196 CONTENTS VN A.6 POLYNOMIALS 201 INDEX 211
SYMBOLS 215 |
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| author | Katznelson, Yitzhak 1934- Katznelson, Yonatan R. 1961- |
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| author_role | aut aut |
| author_sort | Katznelson, Yitzhak 1934- |
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| building | Verbundindex |
| bvnumber | BV023225137 |
| callnumber-first | Q - Science |
| callnumber-label | QA184 |
| callnumber-raw | QA184.2 |
| callnumber-search | QA184.2 |
| callnumber-sort | QA 3184.2 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 220 |
| ctrlnum | (OCoLC)175286447 (DE-599)BVBBV023225137 |
| 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 |
| discipline_str_mv | Mathematik |
| format | Book |
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| genre_facet | Einführung |
| id | DE-604.BV023225137 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T20:17:39Z |
| indexdate | 2024-07-09T21:13:30Z |
| institution | BVB |
| isbn | 9780821844199 0821844199 |
| language | English |
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| physical | x, 215 Seiten |
| publishDate | 2008 |
| publishDateSearch | 2008 |
| publishDateSort | 2008 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Student mathematical library |
| series2 | Student mathematical library |
| spelling | Katznelson, Yitzhak 1934- Verfasser (DE-588)13598291X aut A (terse) introduction to linear algebra Yitzhak Katznelson ; Yonatan R. Katznelson A terse introduction to linear algebra Providence, Rhode Island American Mathematical Society [2008] © 2008 x, 215 Seiten txt rdacontent n rdamedia nc rdacarrier Student mathematical library volume 44 Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd rswk-swf (DE-588)4151278-9 Einführung gnd-content Lineare Algebra (DE-588)4035811-2 s DE-604 Katznelson, Yonatan R. 1961- Verfasser (DE-588)135982987 aut Erscheint auch als Online-Ausgabe 978-1-4704-1218-0 Student mathematical library volume 44 (DE-604)BV013184751 44 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016410970&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Katznelson, Yitzhak 1934- Katznelson, Yonatan R. 1961- A (terse) introduction to linear algebra Student mathematical library Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4151278-9 |
| title | A (terse) introduction to linear algebra |
| title_alt | A terse introduction to linear algebra |
| title_auth | A (terse) introduction to linear algebra |
| title_exact_search | A (terse) introduction to linear algebra |
| title_exact_search_txtP | A (terse) introduction to linear algebra |
| title_full | A (terse) introduction to linear algebra Yitzhak Katznelson ; Yonatan R. Katznelson |
| title_fullStr | A (terse) introduction to linear algebra Yitzhak Katznelson ; Yonatan R. Katznelson |
| title_full_unstemmed | A (terse) introduction to linear algebra Yitzhak Katznelson ; Yonatan R. Katznelson |
| title_short | A (terse) introduction to linear algebra |
| title_sort | a terse introduction to linear algebra |
| topic | Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algebras, Linear Lineare Algebra Einführung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016410970&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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