Topology, geometry and Gauge fields : foundations
This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author s point of view is that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that th...
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| Autor principal: | |
|---|---|
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
New York, NY :
Springer New York
[20..].
Cham : Springer Nature |
| Edição: | Second Edition. |
| Colecção: | Texts in Applied Mathematics
25 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Description d'après consultation du 03 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topology, geometry and gauge fields, foundations, Gregory L. Naber, 2nd edition, New York, Springer Science+Business Media, 2011, 1 vol. (XX-437 p.), Texts in applied mathematics, 978-1-441-97253-8 • Topology, Geometry and Gauge fields, Texte imprimé, 9781461426820 • Topology, geometry and gauge fields, foundations, Gregory L. Naber, 2nd edition, New York, Springer Science+Business Media, 2011, 1 vol. (XX-437 p.), Texts in applied mathematics, 978-1-441-97253-8 • Topology, Geometry and Gauge fields, Texte imprimé, 9781441972552 |
| Resumo: | This is a book on topology and geometry, and like any book on subjects as vast as these, it has a point of view that guided the selection of topics. The author s point of view is that the rekindled interest that mathematics and physics have shown in each other of late should be fostered, and that this is best accomplished by allowing them to cohabit. The goal is to weave together rudimentary notions from the classical gauge theories of physics and the topological and geometrical concepts that became the mathematical models of these notions. The reader is assumed to have a minimal understanding of what an electromagnetic field is, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, and a solid background in real analysis and linear algebra with some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2)-connections on S4 with instanton number -1. This second edition of the book includes a new chapter on singular homology theory and a new appendix outlining Donaldson s beautiful application of gauge theory to the topology of compact, simply connected , smooth 4-manifolds with definite intersection form. Reviews of the first edition: It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics Naber combines a deep knowledge of his subject with an excellent informal writing style. (NZMS Newsletter) "...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories." (ZENTRALBLATT FUER MATHEMATIK) The book is well written and the examples do a great service to the reader. It will be a helpful companion to anyone teaching or studying gauge theory (Mathematical Reviews) |
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| Descrição do item: | Description d'après consultation du 03 mai 2012 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. p. 421-424 Index p. 431-437 |
| ISBN: | 9781441972545 |
| ISSN: | 2196-9949 |
| Acesso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |