Linear Algebra Through Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer US
1992
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Undergraduate Texts in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry |
| Beschreibung: | 1 Online-Ressource (XII, 308 p) |
| ISBN: | 9781461243908 9781461287520 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/978-1-4612-4390-8 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804153092025876480 |
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| any_adam_object | |
| author | Banchoff, Thomas |
| author_facet | Banchoff, Thomas |
| author_role | aut |
| author_sort | Banchoff, Thomas |
| author_variant | t b tb |
| building | Verbundindex |
| bvnumber | BV042420282 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)863938024 (DE-599)BVBBV042420282 |
| 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 | 3512.5 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4612-4390-8 |
| edition | Second Edition |
| format | Electronic eBook |
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| id | DE-604.BV042420282 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:06Z |
| institution | BVB |
| isbn | 9781461243908 9781461287520 |
| issn | 0172-6056 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027855699 |
| oclc_num | 863938024 |
| open_access_boolean | |
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| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XII, 308 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1992 |
| publishDateSearch | 1992 |
| publishDateSort | 1992 |
| publisher | Springer US |
| record_format | marc |
| series2 | Undergraduate Texts in Mathematics |
| spelling | Banchoff, Thomas Verfasser aut Linear Algebra Through Geometry by Thomas Banchoff, John Wermer Second Edition New York, NY Springer US 1992 1 Online-Ressource (XII, 308 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics 0172-6056 Linear Algebra Through Geometry introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space. Topics include systems of linear equations in n variable, inner products, symmetric matrices, and quadratic forms. The final chapter treats application of linear algebra to differential systems, least square approximations and curvature of surfaces in three spaces. The only prerequisite for reading this book (with the exception of one section on systems of differential equations) are high school geometry, algebra, and introductory trigonometry Mathematics Matrix theory Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik Analytische Geometrie (DE-588)4001867-2 gnd rswk-swf Vektorrechnung (DE-588)4062471-7 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 gnd rswk-swf Lineare Algebra (DE-588)4035811-2 s Geometrie (DE-588)4020236-7 s 1\p DE-604 Analytische Geometrie (DE-588)4001867-2 s 2\p DE-604 Vektorrechnung (DE-588)4062471-7 s 3\p DE-604 Algebraische Geometrie (DE-588)4001161-6 s 4\p DE-604 Wermer, John Sonstige oth https://doi.org/10.1007/978-1-4612-4390-8 Verlag Volltext 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Banchoff, Thomas Linear Algebra Through Geometry Mathematics Matrix theory Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik Analytische Geometrie (DE-588)4001867-2 gnd Vektorrechnung (DE-588)4062471-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Geometrie (DE-588)4020236-7 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| subject_GND | (DE-588)4001867-2 (DE-588)4062471-7 (DE-588)4001161-6 (DE-588)4020236-7 (DE-588)4035811-2 |
| title | Linear Algebra Through Geometry |
| title_auth | Linear Algebra Through Geometry |
| title_exact_search | Linear Algebra Through Geometry |
| title_full | Linear Algebra Through Geometry by Thomas Banchoff, John Wermer |
| title_fullStr | Linear Algebra Through Geometry by Thomas Banchoff, John Wermer |
| title_full_unstemmed | Linear Algebra Through Geometry by Thomas Banchoff, John Wermer |
| title_short | Linear Algebra Through Geometry |
| title_sort | linear algebra through geometry |
| topic | Mathematics Matrix theory Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik Analytische Geometrie (DE-588)4001867-2 gnd Vektorrechnung (DE-588)4062471-7 gnd Algebraische Geometrie (DE-588)4001161-6 gnd Geometrie (DE-588)4020236-7 gnd Lineare Algebra (DE-588)4035811-2 gnd |
| topic_facet | Mathematics Matrix theory Geometry Linear and Multilinear Algebras, Matrix Theory Mathematik Analytische Geometrie Vektorrechnung Algebraische Geometrie Geometrie Lineare Algebra |
| url | https://doi.org/10.1007/978-1-4612-4390-8 |
| work_keys_str_mv | AT banchoffthomas linearalgebrathroughgeometry AT wermerjohn linearalgebrathroughgeometry |