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The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions.
Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry.
The main focus is on matrix groups, i.e., closed subgroups of real and complex general linear groups. The first part studies examples and describes the classical families of simply connected compact groups. The second part introduces the idea of a lie group and studies the associated notion of a homogeneous space using orbits of smooth actions.
Throughout, the emphasis is on providing an approach that is accessible to readers equipped with a standard undergraduate toolkit of algebra and analysis. Although the formal prerequisites are kept as low level as possible, the subject matter is sophisticated and contains many of the key themes of the fully developed theory, preparing students for a more standard and abstract course in Lie theory and differential geometry.
Only introduction to Lie group theory aimed at the undergraduate
Discusses applications in mathematics and physics
Provides a self-contained introduction to Lie groups and serves as a foundation for a more abstract course in Lie theory and differential geometry
Uses solved examples and exercises to build the reader's confidence in a subject that can be difficult to tackle
| Erscheinungsjahr: | 2001 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Springer Undergraduate Mathematics Series |
| Inhalt: |
xi
330 S. 16 s/w Illustr. |
| ISBN-13: | 9781852334703 |
| ISBN-10: | 1852334703 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Baker, Andrew |
| Hersteller: |
Springer London
Springer-Verlag London Ltd. Springer Undergraduate Mathematics Series |
| Maße: | 235 x 178 x 19 mm |
| Von/Mit: | Andrew Baker |
| Erscheinungsdatum: | 09.11.2001 |
| Gewicht: | 0,6 kg |
Only introduction to Lie group theory aimed at the undergraduate
Discusses applications in mathematics and physics
Provides a self-contained introduction to Lie groups and serves as a foundation for a more abstract course in Lie theory and differential geometry
Uses solved examples and exercises to build the reader's confidence in a subject that can be difficult to tackle
| Erscheinungsjahr: | 2001 |
|---|---|
| Fachbereich: | Arithmetik & Algebra |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Taschenbuch |
| Reihe: | Springer Undergraduate Mathematics Series |
| Inhalt: |
xi
330 S. 16 s/w Illustr. |
| ISBN-13: | 9781852334703 |
| ISBN-10: | 1852334703 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | Paperback |
| Einband: | Kartoniert / Broschiert |
| Autor: | Baker, Andrew |
| Hersteller: |
Springer London
Springer-Verlag London Ltd. Springer Undergraduate Mathematics Series |
| Maße: | 235 x 178 x 19 mm |
| Von/Mit: | Andrew Baker |
| Erscheinungsdatum: | 09.11.2001 |
| Gewicht: | 0,6 kg |
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