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:
| Hovedforfatter: | |
|---|---|
| Format: | Livre numérique |
| Sprog: | Anglais |
| Udgivet: |
New York, NY :
Springer New York
2008.
Cham : Springer Nature |
| Serier: | Undergraduate Texts in Mathematics
|
| Fag: | |
| Online adgang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Kommentar: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Naive Lie theory, John Stillwell, 2008, New York, Springer, 1 vol. (XIII-217 p.), Undergraduate texts in mathematics, 978-0-387-78214-0 • Naive Lie Theory, Texte imprimé, 9780387569871 • Naive Lie Theory, Texte imprimé, 9781441926814 |
| LEADER | 03569nam a22004217a 4500 | ||
|---|---|---|---|
| 001 | 941086 | ||
| 008 | 090420s2008 xx ||| |||| 00| 0 eng d | ||
| 009 | PPN132863472 | ||
| 020 | |a 9780387782157 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.55 | ||
| 082 | |a 512.482 | ||
| 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, NY : |b Springer New York. | ||
| 260 | |a Cham : |b Springer Nature, |c 2008. | ||
| 490 | 0 | |a Undergraduate Texts in Mathematics |x 2197-5604 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a Geometry of complex numbers and quaternions -- Groups -- Generalized rotation groups -- The exponential map -- The tangent space -- Structure of Lie algebras -- The matrix logarithm -- Topology -- Simply connected Lie groups. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 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. John Stillwell is Professor of Mathematics at the University of San Francisco. He is the author of several highly regarded books published by Springer, including The Four Pillars of Geometry (2005), Elements of Number Theory (2003), Mathematics and Its History (Second Edition, 2002), Numbers and Geometry (1998) and Elements of Algebra (1994). | ||
| 650 | |a Représentations de groupes | ||
| 650 | |a Lie, Groupes de | ||
| 650 | |a Groupes topologiques | ||
| 650 | |a Groupes, Théorie des | ||
| 776 | 0 | |0 129499544 |t Naive Lie theory |f John Stillwell |d 2008 |c New York |n Springer |p 1 vol. (XIII-217 p.) |s Undergraduate texts in mathematics |z 978-0-387-78214-0 | |
| 776 | 0 | |t Naive Lie Theory |b Texte imprimé |z 9780387569871 | |
| 776 | 0 | |t Naive Lie Theory |b Texte imprimé |z 9781441926814 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-387-78214-0 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-RLPVSRH2-F |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747854572 |u https://ezproxy.univ-orleans.fr/login?url=https://doi.org/10.1007/978-0-387-78214-0 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750872071 |u https://ezproxy.insa-cvl.fr/login?qurl=https://doi.org/10.1007/978-0-387-78214-0 |z Accès INSA CVL | |
| 997 | |0 941086 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||