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...
Αποθηκεύτηκε σε:
| Κύριος συγγραφέας: | |
|---|---|
| Μορφή: | Livre papier |
| Γλώσσα: | Anglais |
| Έκδοση: |
New York :
Springer
C 2008.
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| Σειρά: | Undergraduate texts in mathematics
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| Θέματα: | |
| 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 |
| LEADER | 02145nam a22003017a 4500 | ||
|---|---|---|---|
| 001 | 381676 | ||
| 008 | 081201t20082008xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN129499544 | ||
| 020 | |a 9780387782140 (rel.) | ||
| 024 | |a 9780387782140 | ||
| 041 | 0 | |a eng | |
| 084 | |a 22E47. 2000 | ||
| 084 | |a 22-01. 2000 | ||
| 100 | 1 | |a Stillwell, John, |d 1942-...., |c Professeur de mathématiques. | |
| 245 | 1 | 0 | |a Naive Lie theory |c John Stillwell. |
| 260 | |a New York : |b Springer. | ||
| 260 | |c C 2008. | ||
| 300 | |a 1 vol. (XIII-217 p.) : |b ill. ; |c 24 cm. | ||
| 490 | 0 | |a Undergraduate texts in mathematics | |
| 504 | |a Bibliogr. p. 204-206. Index | ||
| 505 | 0 | |a 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. | |
| 520 | |a 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 spaces. These symmetry groups may be represented by matrices, which allows them to be studied by elementary methods from calculus and linear algebra. This naive approach to Lie theory is originally due to von Neumann, and it is now possible to streamline it by using standard results of undergraduate mathematics. To compensate for the limitations of the naive approach, end of chapter discussions introduce important results beyond those proved in the book, as part of an informal sketch of Lie theory and its history [source : 4e de couverture] | ||
| 650 | |a Lie, Groupes de | ||
| 650 | |a Groupes, Théorie des | ||
| 650 | |a Groupes topologiques | ||
| 650 | |a Représentations de groupes | ||
| 776 | 0 | |0 132863472 |t Naive Lie theory |f John Stillwell |d 2008 |c New York, NY |n Springer New York |s Undergraduate Texts in Mathematics |z 978-0-387-78215-7 | |
| 997 | |0 381676 |1 Livre papier |a Ressource papier |c 0/Orléans/ |c 1/Orléans/IDP/ |z Orléans, IDP, 7205 STI | ||