Algebras of Linear Transformations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2001
|
| Schriftenreihe: | Universitext
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The aim of this book is twofold: (i) to give an exposition of the basic theory of finite-dimensional algebras at a levelthat isappropriate for senior undergraduate and first-year graduate students, and (ii) to provide the mathematical foundation needed to prepare the reader for the advanced study of anyone of several fields of mathematics. The subject under study is by no means new-indeed it is classical yet a book that offers a straightforward and concrete treatment of this theory seems justified for several reasons. First, algebras and linear trans formations in one guise or another are standard features of various parts of modern mathematics. These include well-entrenched fields such as repre sentation theory, as well as newer ones such as quantum groups. Second, a study ofthe elementary theory offinite-dimensional algebras is particularly useful in motivating and casting light upon more sophisticated topics such as module theory and operator algebras. Indeed, the reader who acquires a good understanding of the basic theory of algebras is wellpositioned to ap preciate results in operator algebras, representation theory, and ring theory. In return for their efforts, readers are rewarded by the results themselves, several of which are fundamental theorems of striking elegance |
| Beschreibung: | 1 Online-Ressource (XIV, 240 p) |
| ISBN: | 9781461300977 9780387950624 |
| ISSN: | 0172-5939 |
| DOI: | 10.1007/978-1-4613-0097-7 |
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Datensatz im Suchindex
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| dewey-full | 512.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-0097-7 |
| format | Electronic eBook |
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| id | DE-604.BV042420540 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:07Z |
| institution | BVB |
| isbn | 9781461300977 9780387950624 |
| issn | 0172-5939 |
| language | English |
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| spelling | Farenick, Douglas R. Verfasser aut Algebras of Linear Transformations by Douglas R. Farenick New York, NY Springer New York 2001 1 Online-Ressource (XIV, 240 p) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 The aim of this book is twofold: (i) to give an exposition of the basic theory of finite-dimensional algebras at a levelthat isappropriate for senior undergraduate and first-year graduate students, and (ii) to provide the mathematical foundation needed to prepare the reader for the advanced study of anyone of several fields of mathematics. The subject under study is by no means new-indeed it is classical yet a book that offers a straightforward and concrete treatment of this theory seems justified for several reasons. First, algebras and linear trans formations in one guise or another are standard features of various parts of modern mathematics. These include well-entrenched fields such as repre sentation theory, as well as newer ones such as quantum groups. Second, a study ofthe elementary theory offinite-dimensional algebras is particularly useful in motivating and casting light upon more sophisticated topics such as module theory and operator algebras. Indeed, the reader who acquires a good understanding of the basic theory of algebras is wellpositioned to ap preciate results in operator algebras, representation theory, and ring theory. In return for their efforts, readers are rewarded by the results themselves, several of which are fundamental theorems of striking elegance Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Lineare Transformation (DE-588)4167712-2 gnd rswk-swf Assoziative Algebra (DE-588)4293934-3 gnd rswk-swf Assoziative Algebra (DE-588)4293934-3 s Lineare Transformation (DE-588)4167712-2 s 1\p DE-604 https://doi.org/10.1007/978-1-4613-0097-7 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Farenick, Douglas R. Algebras of Linear Transformations Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Lineare Transformation (DE-588)4167712-2 gnd Assoziative Algebra (DE-588)4293934-3 gnd |
| subject_GND | (DE-588)4167712-2 (DE-588)4293934-3 |
| title | Algebras of Linear Transformations |
| title_auth | Algebras of Linear Transformations |
| title_exact_search | Algebras of Linear Transformations |
| title_full | Algebras of Linear Transformations by Douglas R. Farenick |
| title_fullStr | Algebras of Linear Transformations by Douglas R. Farenick |
| title_full_unstemmed | Algebras of Linear Transformations by Douglas R. Farenick |
| title_short | Algebras of Linear Transformations |
| title_sort | algebras of linear transformations |
| topic | Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Lineare Transformation (DE-588)4167712-2 gnd Assoziative Algebra (DE-588)4293934-3 gnd |
| topic_facet | Mathematics Matrix theory Linear and Multilinear Algebras, Matrix Theory Mathematik Lineare Transformation Assoziative Algebra |
| url | https://doi.org/10.1007/978-1-4613-0097-7 |
| work_keys_str_mv | AT farenickdouglasr algebrasoflineartransformations |