Naive Lie theory
In this new textbook, acclaimed author John Stillwell presents a lucid introduction to Lie theory suitable for junior and senior level undergraduates. In order to achieve this, he focuses on the so-called "classical groups'' that capture the symmetries of real, complex, and quaternion...
Enregistré dans:
| 主要作者: | |
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| 格式: | Livre papier |
| 語言: | Anglais |
| 出版: |
New York :
Springer
C 2008.
|
| 叢編: | Undergraduate texts in mathematics
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| 主題: | |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Naive Lie theory, John Stillwell, 2008, New York, NY, Springer New York, Undergraduate Texts in Mathematics, 978-0-387-78215-7 |
書本目錄:
- 1. Geometry of complex number and quaternions.
- 2. Groups.
- 3. Generalized rotation groups.
- 4. The exponential map.
- 5. The tangent space.
- 6. Structure of Lie algebras.
- 7. The matrix logarithm.
- 8. Topology.
- 9. Simply connected Lie groups.