Linear Algebra Done Right
Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinea...
Sábháilte in:
| Príomhchruthaitheoir: | |
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| Formáid: | Online |
| Teanga: | Béarla |
| Foilsithe / Cruthaithe: |
Springer Nature
2023
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| Ábhair: | |
| Rochtain ar líne: | ONIX_20231113_9783031410260_23 |
| Clibeanna: |
Níl clibeanna ann, Bí ar an gcéad duine le clib a chur leis an taifead seo!
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| _version_ | 1869529978761117696 |
|---|---|
| author | Axler, Sheldon |
| author_browse | Axler, Sheldon |
| author_facet | Axler, Sheldon |
| author_sort | Axler, Sheldon |
| collection | Directory of Open Access Books |
| description | Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. The text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From the reviews of previous editions: Altogether, the text is a didactic masterpiece. — zbMATH The determinant-free proofs are elegant and intuitive. — American Mathematical Monthly The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library — CHOICE |
| format | Online |
| id | doab-20.500.12854ir-121457 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| publisher | Springer Nature |
| publisherStr | Springer Nature |
| record_format | ojs |
| spelling | doab-20.500.12854ir-1214572025-03-20T13:17:15Z Linear Algebra Done Right Axler, Sheldon Axler linear algebra adopted textbook dual spaces finite-dimensional spectral theorem linear algebra product spaces quotient spaces vector spaces Textbook Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added. The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions. No prerequisites are assumed other than the usual demand for suitable mathematical maturity. The text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator. From the reviews of previous editions: Altogether, the text is a didactic masterpiece. — zbMATH The determinant-free proofs are elegant and intuitive. — American Mathematical Monthly The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library — CHOICE 2023-11-16T11:06:19Z 2023-11-16T11:06:19Z 2023-11-13T16:42:09Z 2024 book ONIX_20231113_9783031410260_23 OCN: 1406837723 https://library.oapen.org/handle/20.500.12657/85067 9783031410260 9783031410253 https://directory.doabooks.org/handle/20.500.12854/121457 eng Undergraduate Texts in Mathematics open access image/jpeg image/jpeg image/jpeg n/a n/a n/a https://library.oapen.org/bitstream/20.500.12657/85067/1/978-3-031-41026-0.pdf https://library.oapen.org/bitstream/20.500.12657/85067/1/978-3-031-41026-0.pdf https://library.oapen.org/bitstream/20.500.12657/85067/1/978-3-031-41026-0.pdf Springer Nature Springer International Publishing 10.1007/978-3-031-41026-0 10.1007/978-3-031-41026-0 9fa3421d-f917-4153-b9ab-fc337c396b5a 43f77f4b-f06f-4768-a64e-f9dbc51584cc 9783031410260 9783031410253 Springer International Publishing 390 Cham [...] open access |
| spellingShingle | Axler linear algebra adopted textbook dual spaces finite-dimensional spectral theorem linear algebra product spaces quotient spaces vector spaces Textbook Axler, Sheldon Linear Algebra Done Right |
| title | Linear Algebra Done Right |
| title_full | Linear Algebra Done Right |
| title_fullStr | Linear Algebra Done Right |
| title_full_unstemmed | Linear Algebra Done Right |
| title_short | Linear Algebra Done Right |
| title_sort | linear algebra done right |
| topic | Axler linear algebra adopted textbook dual spaces finite-dimensional spectral theorem linear algebra product spaces quotient spaces vector spaces Textbook |
| topic_facet | Axler linear algebra adopted textbook dual spaces finite-dimensional spectral theorem linear algebra product spaces quotient spaces vector spaces Textbook |
| url | ONIX_20231113_9783031410260_23 |
| work_keys_str_mv | AT axlersheldon linearalgebradoneright |