Linear algebra for the 21st century:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Buch |
| Sprache: | Englisch |
| Veröffentlicht: |
Oxford
Oxford University Press
2020
|
| Ausgabe: | First edition |
| Schlagwörter: | |
| Links: | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032266785&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| Umfang: | XX, 660 Seiten Illustrationen, Diagramme (teilweise farbig) |
| ISBN: | 0198856407 9780198856405 0198856393 9780198856399 |
Internformat
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| 245 | 1 | 0 | |a Linear algebra for the 21st century |c A.J. Roberts, University of Adelaide, South Australia, 5005 |
| 250 | |a First edition | ||
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| 264 | 4 | |c © 2020 | |
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| 650 | 0 | 7 | |a Lineare Algebra |0 (DE-588)4035811-2 |2 gnd |9 rswk-swf |
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Datensatz im Suchindex
| _version_ | 1819256580501143552 |
|---|---|
| adam_text | Contents 1 Vectors 1.1 1.2 1.3 1.4 1.5 1.6 Vectors have magnitude and direction Adding and stretching vectors The dot product determines angles and lengths The cross product Use MATLAB/Octave for vector computation Summary of vectors 2 Systems of linear equations 2.1 2.2 2.3 2.4 Introduction to systems of linear equations Directly solve linear systems Linear combinations span sets Summary of linear equations 3 Matrices encode system interactions 3.1 3.2 3.3 3.4 3.5 3.6 3.7 Matrix operations and algebra The inverse of a matrix Factorize to the singular value decomposition Subspaces, basis and dimension Project to solve inconsistent equations Introducing linear transformations Summary of matrices 4 Eigenvalues and eigenvectors of symmetric matrices 4.1 Introduction to eigenvalues and eigenvectors 4.2 Beautiful properties for symmetric matrices 4.3 Summary of symmetric eigen-problems 5 Approximate matrices 5.1 Measure changes to matrices 5.2 Regularize linear equations 5.3 Summary of matrix approximation i 2 10 23 44 58 66 71 73 81 107 115 119 120 151 188 221 254 315 345 357 359 383 411 415 415 455 477
xx I Contents 6 Determinants distinguish matrices 6.1 Geometry underlies determinants 6.2 Laplace expansion theorem for determinants 6.3 Summary of determinants 7 Eigenvalues and eigenvectors in general 7.1 7.2 7.3 7.4 Find eigenvalues and eigenvectors of matrices Linearly independent vectors may form a basis Diagonalization identifies the transformation Summary of general eigen-problems References Index 481 482 496 519 523 530 589 619 643 651 655
|
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| author | Roberts, A. J. 1957- |
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| bvnumber | BV046858083 |
| classification_rvk | SK 220 |
| ctrlnum | (OCoLC)1283450503 (DE-599)BVBBV046858083 |
| discipline | Mathematik |
| edition | First edition |
| format | Book |
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| id | DE-604.BV046858083 |
| illustrated | Illustrated |
| indexdate | 2024-12-20T19:02:57Z |
| institution | BVB |
| isbn | 0198856407 9780198856405 0198856393 9780198856399 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032266785 |
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| owner_facet | DE-739 DE-706 DE-20 DE-11 DE-83 |
| physical | XX, 660 Seiten Illustrationen, Diagramme (teilweise farbig) |
| publishDate | 2020 |
| publishDateSearch | 2020 |
| publishDateSort | 2020 |
| publisher | Oxford University Press |
| record_format | marc |
| spellingShingle | Roberts, A. J. 1957- Linear algebra for the 21st century Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4035811-2 |
| title | Linear algebra for the 21st century |
| title_auth | Linear algebra for the 21st century |
| title_exact_search | Linear algebra for the 21st century |
| title_full | Linear algebra for the 21st century A.J. Roberts, University of Adelaide, South Australia, 5005 |
| title_fullStr | Linear algebra for the 21st century A.J. Roberts, University of Adelaide, South Australia, 5005 |
| title_full_unstemmed | Linear algebra for the 21st century A.J. Roberts, University of Adelaide, South Australia, 5005 |
| title_short | Linear algebra for the 21st century |
| title_sort | linear algebra for the 21st century |
| topic | Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Lineare Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032266785&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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