Vectors, pure and applied: a general introduction to linear algebra
Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, phy...
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| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2013
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, physics) make use of vectors in different ways and how these ways are connected, preparing students for further work in these areas. The book is packed with hundreds of exercises ranging from the routine to the challenging. Sketch solutions of the easier exercises are available online |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xii, 444 pages) |
| ISBN: | 9781139520034 |
| DOI: | 10.1017/CBO9781139520034 |
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| 100 | 1 | |a Körner, T. W. |d 1946- |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Vectors, pure and applied |b a general introduction to linear algebra |c T.W. Körner, Trinity Hall, Cambridge |
| 246 | 1 | 3 | |a Vectors, Pure & Applied |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2013 | |
| 300 | |a 1 online resource (xii, 444 pages) | ||
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| 505 | 8 | |a Machine generated contents note: Introduction; Part I. Familiar Vector Spaces: 1. Gaussian elimination; 2. A little geometry; 3. The algebra of square matrices; 4. The secret life of determinants; 5. Abstract vector spaces; 6. Linear maps from Fn to itself; 7. Distance preserving linear maps; 8. Diagonalisation for orthonormal bases; 9. Cartesian tensors; 10. More on tensors; Part II. General Vector Spaces: 11. Spaces of linear maps; 12. Polynomials in L(U,U); 13. Vector spaces without distances; 14. Vector spaces with distances; 15. More distances; 16. Quadratic forms and their relatives; Bibliography; Index | |
| 520 | |a Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, physics) make use of vectors in different ways and how these ways are connected, preparing students for further work in these areas. The book is packed with hundreds of exercises ranging from the routine to the challenging. Sketch solutions of the easier exercises are available online | ||
| 650 | 4 | |a Vector algebra | |
| 650 | 4 | |a Algebras, Linear | |
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Datensatz im Suchindex
| _version_ | 1804176886861922304 |
|---|---|
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| author | Körner, T. W. 1946- |
| author_facet | Körner, T. W. 1946- |
| author_role | aut |
| author_sort | Körner, T. W. 1946- |
| author_variant | t w k tw twk |
| building | Verbundindex |
| bvnumber | BV043943188 |
| classification_rvk | SK 220 |
| collection | ZDB-20-CBO |
| contents | Machine generated contents note: Introduction; Part I. Familiar Vector Spaces: 1. Gaussian elimination; 2. A little geometry; 3. The algebra of square matrices; 4. The secret life of determinants; 5. Abstract vector spaces; 6. Linear maps from Fn to itself; 7. Distance preserving linear maps; 8. Diagonalisation for orthonormal bases; 9. Cartesian tensors; 10. More on tensors; Part II. General Vector Spaces: 11. Spaces of linear maps; 12. Polynomials in L(U,U); 13. Vector spaces without distances; 14. Vector spaces with distances; 15. More distances; 16. Quadratic forms and their relatives; Bibliography; Index |
| ctrlnum | (ZDB-20-CBO)CR9781139520034 (OCoLC)967777673 (DE-599)BVBBV043943188 |
| dewey-full | 516/.182 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.182 |
| dewey-search | 516/.182 |
| dewey-sort | 3516 3182 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781139520034 |
| format | Electronic eBook |
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| id | DE-604.BV043943188 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:19Z |
| institution | BVB |
| isbn | 9781139520034 |
| language | English |
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| oclc_num | 967777673 |
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| physical | 1 online resource (xii, 444 pages) |
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| publishDate | 2013 |
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| publisher | Cambridge University Press |
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| spelling | Körner, T. W. 1946- Verfasser aut Vectors, pure and applied a general introduction to linear algebra T.W. Körner, Trinity Hall, Cambridge Vectors, Pure & Applied Cambridge Cambridge University Press 2013 1 online resource (xii, 444 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Machine generated contents note: Introduction; Part I. Familiar Vector Spaces: 1. Gaussian elimination; 2. A little geometry; 3. The algebra of square matrices; 4. The secret life of determinants; 5. Abstract vector spaces; 6. Linear maps from Fn to itself; 7. Distance preserving linear maps; 8. Diagonalisation for orthonormal bases; 9. Cartesian tensors; 10. More on tensors; Part II. General Vector Spaces: 11. Spaces of linear maps; 12. Polynomials in L(U,U); 13. Vector spaces without distances; 14. Vector spaces with distances; 15. More distances; 16. Quadratic forms and their relatives; Bibliography; Index Many books in linear algebra focus purely on getting students through exams, but this text explains both the how and the why of linear algebra and enables students to begin thinking like mathematicians. The author demonstrates how different topics (geometry, abstract algebra, numerical analysis, physics) make use of vectors in different ways and how these ways are connected, preparing students for further work in these areas. The book is packed with hundreds of exercises ranging from the routine to the challenging. Sketch solutions of the easier exercises are available online Vector algebra Algebras, Linear Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Vektorrechnung (DE-588)4062471-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-1-107-03356-6 Erscheint auch als Druckausgabe 978-1-107-67522-3 https://doi.org/10.1017/CBO9781139520034 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Körner, T. W. 1946- Vectors, pure and applied a general introduction to linear algebra Machine generated contents note: Introduction; Part I. Familiar Vector Spaces: 1. Gaussian elimination; 2. A little geometry; 3. The algebra of square matrices; 4. The secret life of determinants; 5. Abstract vector spaces; 6. Linear maps from Fn to itself; 7. Distance preserving linear maps; 8. Diagonalisation for orthonormal bases; 9. Cartesian tensors; 10. More on tensors; Part II. General Vector Spaces: 11. Spaces of linear maps; 12. Polynomials in L(U,U); 13. Vector spaces without distances; 14. Vector spaces with distances; 15. More distances; 16. Quadratic forms and their relatives; Bibliography; Index Vector algebra Algebras, Linear Vektorrechnung (DE-588)4062471-7 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4062471-7 (DE-588)4035811-2 |
| title | Vectors, pure and applied a general introduction to linear algebra |
| title_alt | Vectors, Pure & Applied |
| title_auth | Vectors, pure and applied a general introduction to linear algebra |
| title_exact_search | Vectors, pure and applied a general introduction to linear algebra |
| title_full | Vectors, pure and applied a general introduction to linear algebra T.W. Körner, Trinity Hall, Cambridge |
| title_fullStr | Vectors, pure and applied a general introduction to linear algebra T.W. Körner, Trinity Hall, Cambridge |
| title_full_unstemmed | Vectors, pure and applied a general introduction to linear algebra T.W. Körner, Trinity Hall, Cambridge |
| title_short | Vectors, pure and applied |
| title_sort | vectors pure and applied a general introduction to linear algebra |
| title_sub | a general introduction to linear algebra |
| topic | Vector algebra Algebras, Linear Vektorrechnung (DE-588)4062471-7 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Vector algebra Algebras, Linear Vektorrechnung Lineare Algebra |
| url | https://doi.org/10.1017/CBO9781139520034 |
| work_keys_str_mv | AT kornertw vectorspureandappliedageneralintroductiontolinearalgebra AT kornertw vectorspureapplied |