A first course in linear algebra with applications:
Gespeichert in:
| Beteiligte Personen: | , |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
San Diego [u.a.]
Acad. Pr.
1998
|
| Ausgabe: | 3. ed. |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009119807&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | Getr. Zählung graph. Darst. |
| ISBN: | 0125057601 |
Internformat
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Datensatz im Suchindex
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|---|---|
| adam_text | A FIRST COURSE IN LINEAR ALGEBRA WITH APPLICATIONS THIRD EDITION
CONTENTS PREFACE VII TO THE STUDENT XIII CHAPTER 1. SYSTEMS OF LINEAR
EQUATIONS AND MATRICES 1 1.1 SYSTEMS OF LINEAR EQUATIONS * MATRIX
METHODS 2 1.2 LINEAR SYSTEMS WITHOUT UNIQUE SOLUTIONS 20 1.3
APPLICATIONS * ALGORITHMS 35 CHAPTER 1 REVIEW AND SUPPLEMENTARY
EXERCISES AND PROJECTS 49 CHAPTER 2. MATRIX ALGEBRA 53 2.1 MATRIX
ARITHMETIC 53 2.2 MATRIX MULTIPLICATION 67 2.3 MATRIX INVERSES 83 2.4
PARTITIONED MATRICES 105 2.5 FACTORIZATION 116, 2.6 APPLICATIONS *
NETWORKS AND GRAPHS 128 CHAPTER 2 REVIEW AND SUPPLEMENTARY EXERCISES 142
CHAPTER 3. MATRIX AND VECTOR EQUATIONS 149 3.1 VECTORS IN EUCLIDEAN
N-SPACE 150 3.2 DISTANCE, ANGLE, AND DOT (INNER) PRODUCTS IN EUCLIDEAN
N-SPACE 3.3 LINEAR DEPENDENCE AND INDEPENDENCE 181 3.4 LINEAR
TRANSFORMATIONS 198 3.5 APPLICATIONS 212 CHAPTER 3 REVIEW EXERCISES 233
CHAPTER 3 SUPPLEMENTARY EXERCISES AND PROJECTS 235 CHAPTER 4.
DETERMINANTS 243 4.1 THE DETERMINANT FUNCTION AND CRAMER S RULE 244 4.2
LAPLACE EXPANSION OF DETERMINANTS 257 4.3 PROPERTIES OF DETERMINANTS 266
166 VI CONTENTS 4.4 DETERMINANTS AND MATRIX INVERSION 278 4.5 CROSS
PRODUCTS IN U 3 (OPTIONAL) 286 4.6 EIGENVALUES AND EIGENVECTORS OF A
MATRIX 299 CHAPTER 4 REVIEW EXERCISES 306 CHAPTER 4 SUPPLEMENTARY
EXERCISES AND PROJECTS 307 CHAPTER 5. VECTOR SPACES 317 5.1 VECTOR
SPACES AND LINEAR COMBINATIONS 317 5.2 SUBSPACES, ORDERED BASIS, AND
DIMENSION 333 5.3 LINEAR TRANSFORMATIONS, KERNEL, AND RANGE 348 5.4
MATRICES * ROW AND COLUMN SPACES, RANK 365 CHAPTER 5 REVIEW EXERCISES
377 CHAPTER 5 SUPPLEMENTARY EXERCISES AND PROJECTS 379 CHAPTER 6.
INNER-PRODUCT SPACES 387 6.1 REAL INNER PRODUCTS 387 6.2 GEOMETRY IN
REAL INNER-PRODUCT SPACES 401 6.3 CONSTRUCTING AN ORTHONORMAL BASIS:
GRAM-SCHMIDT 415 6.4 COMPLEX VECTORS, MATRICES, INNER PRODUCTS 431
CHAPTER 6 REVIEW EXERCISES 444 CHAPTER 6 SUPPLEMENTARY EXERCISES AND
PROJECTS 445 CHAPTER 7. COORDINATES, MATRICES, AND TRANSFORMATIONS 453
7.1 COORDINATES AND CHANGE OF BASIS 454 7.2 MATRIX REPRESENTATION OF
TRANSFORMATIONS, SIMILARITY 465 7.3 ORTHOGONAL MATRICES AND
TRANSFORMATIONS 486 7.4 MARKOV CHAINS .494 CHAPTER 7 REVIEW EXERCISES
511 CHAPTER 7 SUPPLEMENTARY EXERCISES AND PROJECTS 512 CHAPTER 8.
EIGENSPACES AND APPLICATIONS OF EIGENVALUE THEORY 519 8.1 EIGENVECTORS,
EIGENVALUES, AND EIGENSPACES 520 8.2 SIMILARITY TO A DIAGONAL MATRIX 535
8.3 REAL SYMMETRIC MATRICES 549 8.4 COMPLEX MATRICES AND EIGENVALUES 557
8.5 QUADRATIC FORMS, CONIES 568 8.6 QUADRIC SURFACES 577 . 8.7 SYSTEMS
OF DIFFERENTIAL EQUATIONS 585 CHAPTER 8 REVIEW EXERCISES 591 CHAPTER 8
SUPPLEMENTARY EXERCISES AND PROJECTS 592 APPENDIX 599 A.1 THE COMPLEX
NUMBERS 599 A.2 SETS AND FUNCTIONS 604 A.3 METHODS OF PROOF 615
REFERENCES 631 ANSWERS TO ODD-NUMBERED EXERCISES A-1 INDEX 1-1
|
| any_adam_object | 1 |
| author | Moore, Hal G. Yaqub, Adil 1928- |
| author_facet | Moore, Hal G. Yaqub, Adil 1928- |
| author_role | aut aut |
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| classification_rvk | SK 220 |
| ctrlnum | (OCoLC)38014555 (DE-599)BVBBV013372284 |
| 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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| id | DE-604.BV013372284 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T10:46:04Z |
| institution | BVB |
| isbn | 0125057601 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-009119807 |
| oclc_num | 38014555 |
| open_access_boolean | |
| owner | DE-824 DE-898 DE-BY-UBR |
| owner_facet | DE-824 DE-898 DE-BY-UBR |
| physical | Getr. Zählung graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Acad. Pr. |
| record_format | marc |
| spellingShingle | Moore, Hal G. Yaqub, Adil 1928- A first course in linear algebra with applications Algebra linear larpcal Lineaire algebra gtt Algebras, Linear Explorative Datenanalyse (DE-588)4128896-8 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4128896-8 (DE-588)4035811-2 |
| title | A first course in linear algebra with applications |
| title_auth | A first course in linear algebra with applications |
| title_exact_search | A first course in linear algebra with applications |
| title_full | A first course in linear algebra with applications Hal G. Moore ; Adil Yaqub |
| title_fullStr | A first course in linear algebra with applications Hal G. Moore ; Adil Yaqub |
| title_full_unstemmed | A first course in linear algebra with applications Hal G. Moore ; Adil Yaqub |
| title_short | A first course in linear algebra with applications |
| title_sort | a first course in linear algebra with applications |
| topic | Algebra linear larpcal Lineaire algebra gtt Algebras, Linear Explorative Datenanalyse (DE-588)4128896-8 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Algebra linear Lineaire algebra Algebras, Linear Explorative Datenanalyse Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009119807&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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