Linear algebra and its applications:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
San Diego
Harcourt Brace Jovanovich
1988
|
| Ausgabe: | 3. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 505 S. graph. Darst. |
| ISBN: | 0155510053 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804123566218674176 |
|---|---|
| adam_text | LINEAR ALGEBRA AND ITS APPLICATIONS THIRD EDITION GILBERT STRANG
MASSACHUSETTS INSTITUTE OF TECHNOLOGY BROOKS/COLE * THOMSON LEARNING
AEUSTRALIA * CANADA * MEXICO * SINGAPORE * SPAIN UNITED KINGDOM * UNITED
STATES CONTENTS PREFACE IX 1 MATRICES AND GAUSSIAN ELIMINATION 1.1
INTRODUCTION 1 1.2 THE GEOMETRY OF LINEAR EQUATIONS 3 1.3 AN EXAMPLE OF
GAUSSIAN ELIMINATION 12 1.4 MATRIX NOTATION AND MATRIX MULTIPLICATION 19
1.5 TRIANGULAER FACTORS AND ROW EXCHANGES 31 1.6 INVERSES AND TRANSPOSES
42 1.7 SPECIAL MATRICES AND APPLICATIONS 52 REVIEW EXERCISES 60 2 VECTOR
SPACES AND LINEAR EQUATIONS 2.1 VECTOR SPACES AND SUBSPACES 63 2.2 THE
SOLUTION OF M EQUATIONS IN N UNKNOWNS 71 2.3 LINEAR INDEPENDENCE, BASIS,
AND DIMENSION 80 2.4 THE FOUR FUNDAMENTAL SUBSPACES 90 2.5 NETWORKS AND
INCIDENCE MATRICES 102 2.6 LINEAR TRANSFORMATIONS 116 REVIEW EXERCISES
128 VI CONTENTS 3 ORTHOGONALITY 3.1 PERPENDICULAR VECTORS AND ORTHOGONAL
SUBSPACES 132 3.2 INNER PRODUCTS AND PROJECTIONS ONTO LINES 144 3.3
PROJECTIONS AND LEAST SQUARES APPROXIMATIONS 153 3.4 ORTHOGONAL BASES,
ORTHOGONAL MATRICES, AND GRAM-SCHMIDT ORTHOGONALIZATION 166 3.5 THE FAST
FOURIER TRANSFORM 183 3.6 REVIEW AND PREVIEW 195 REVIEW EXERCISES 208 4
DETERMINANTS 4.1 INTRODUCTION 211 4.2 THE PROPERTIES OF THE DETERMINANT
214 4.3 FORMULAS FOR THE DETERMINANT 222 4.4 APPLICATIONS OF
DETERMINANTS 231 REVIEW EXERCISES 241 5 EIGENVALUES AND EIGENVECTORS 5.1
INTRODUCTION 243 5.2 THE DIAGONAL FORM OF A MATRIX 254 5.3 DIFFERENCE
EQUATIONS AND THE POWERS A K 262 5.4 DIFFERENTIAL EQUATIONS AND THE
EXPONENTIAL E AT 275 5.5 COMPLEX MATRICES: SYMMETRIE VS. HERMITIAN AND
ORTHOGONAL VS. UNITARY 290 5.6 SIMILARITY TRANSFORMATIONS 304 REVIEW
EXERCISES 319 6 POSITIVE DEFINITE MATRICES 6.1 MINIMA, MAXIMA, AND
SADDLE POINTS 322 6.2 TESTS FOR POSITIVE DEFINITENESS 330 6.3
SEMIDEFINITE AND INDEFINITE MATRICES; AX = XMX 339 6.4 MINIMUM
PRINCIPLES AND THE RAYLEIGH QUOTIENT 347 6.5 THE FINITE ELEMENT METHOD
355 7 COMPUTATIONS WITH MATRICES 7.1 INTRODUCTION 361 7.2 THE NORM AND
CONDITION NUMBER OF A MATRIX 363 7.3 THE COMPUTATION OF EIGENVALUES 370
7.4 ITERATIVE METHODS FOR AX = B 380 CONTENTS VII 8 LINEAR PROGRAMMING
AND GAME THEORY 8.1 LINEAR INEQUALITIES 388 8.2 THE SIMPLEX METHOD AND
KARMARKAR S METHOD 395 8.3 THE THEORY OF DUALITY 412 8.4 NETWORK MODELS
424 8.5 GAME THEORY AND THE MINIMAX THEOREM 433 APPENDIX A THE SINGULAR
VALUE DECOMPOSITION 442 AND THE PSEUDOINVERSE APPENDIX B THE JORDAN FORM
453 APPENDIX C COMPUTER CODES FOR LINEAR ALGEBRA 461 REFERENCES ALL
SOLUTIONS TO SELECTED EXERCISES 473 INDEX 499
|
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| author | Strang, Gilbert 1934- |
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| classification_rvk | SK 220 SK 915 |
| ctrlnum | (OCoLC)17557578 (DE-599)BVBBV009148575 |
| 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 | 3. ed. |
| format | Book |
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| indexdate | 2024-07-09T17:31:48Z |
| institution | BVB |
| isbn | 0155510053 |
| language | English |
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| physical | XII, 505 S. graph. Darst. |
| publishDate | 1988 |
| publishDateSearch | 1988 |
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| publisher | Harcourt Brace Jovanovich |
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| spelling | Strang, Gilbert 1934- Verfasser (DE-588)141888474 aut Linear algebra and its applications 3. ed. San Diego Harcourt Brace Jovanovich 1988 XII, 505 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Algèbre linéaire Algèbre linéaire ram Lineaire algebra gtt Toepassingen gtt Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content 2\p (DE-588)4123623-3 Lehrbuch gnd-content Lineare Algebra (DE-588)4035811-2 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=006065606&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Strang, Gilbert 1934- Linear algebra and its applications Algèbre linéaire Algèbre linéaire ram Lineaire algebra gtt Toepassingen gtt Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 (DE-588)4151278-9 (DE-588)4123623-3 |
| title | Linear algebra and its applications |
| title_auth | Linear algebra and its applications |
| title_exact_search | Linear algebra and its applications |
| title_full | Linear algebra and its applications |
| title_fullStr | Linear algebra and its applications |
| title_full_unstemmed | Linear algebra and its applications |
| title_short | Linear algebra and its applications |
| title_sort | linear algebra and its applications |
| topic | Algèbre linéaire Algèbre linéaire ram Lineaire algebra gtt Toepassingen gtt Algebras, Linear Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algèbre linéaire Lineaire algebra Toepassingen Algebras, Linear Lineare Algebra Einführung Lehrbuch |
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