Modern differential geometry in gauge theories. Volume I, Maxwell Fields
Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an ax...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Soggetti: | |
| Accesso online: | 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 12 avril 2011 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Modern differential geometry in gauge theories, Volume I, Maxwell fields, Anastasios Mallios, Boston, Birkhäuser, 2006, 1 vol. (XVII-293 p.), 978-0-8176-4378-2 |
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| 100 | 1 | |a Mallios, Anastasios, |d 1932- | |
| 245 | 1 | 0 | |a Modern differential geometry in gauge theories. |n Volume I, |p Maxwell Fields |c Anastasios Mallios. |
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Description d'après consultation du 12 avril 2011 | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [273]-279. Index | ||
| 505 | 1 | |a Maxwell Fields: General Theory The Rudiments of Abstract Differential Geometry Elementary Particles: Sheaf-Theoretic Classification, by Spin-Structure, According to Selesnick s Correspondence Principle Electromagnetism Cohomological Classification of Maxwell and Hermitian Maxwell Fields Geometric Prequantization. | |
| 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. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a Differential geometry, in the classical sense, is developed through the theory of smooth manifolds. Modern differential geometry from the author s perspective is used in this work to describe physical theories of a geometric character without using any notion of calculus (smoothness). Instead, an axiomatic treatment of differential geometry is presented via sheaf theory (geometry) and sheaf cohomology (analysis). Using vector sheaves, in place of bundles, based on arbitrary topological spaces, this unique approach in general furthers new perspectives and calculations that generate unexpected potential applications. Modern Differential Geometry in Gauge Theories is a two-volume research monograph that systematically applies a sheaf-theoretic approach to such physical theories as gauge theory. Beginning with Volume 1, the focus is on Maxwell fields. All the basic concepts of this mathematical approach are formulated and used thereafter to describe elementary particles, electromagnetism, and geometric prequantization. Maxwell fields are fully examined and classified in the language of sheaf theory and sheaf cohomology. Continuing in Volume 2, this sheaf-theoretic approach is applied to Yang Mills fields in general. The text contains a wealth of detailed and rigorous computations and will appeal to mathematicians and physicists, along with advanced undergraduate and graduate students, interested in applications of differential geometry to physical theories such as general relativity, elementary particle physics and quantum gravity. | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Théorie quantique | ||
| 650 | |a Champs de jauge (physique) | ||
| 776 | 0 | |0 100539262 |t Modern differential geometry in gauge theories |h Volume I |i Maxwell fields |f Anastasios Mallios |c Boston |n Birkhäuser |d 2006 |p 1 vol. (XVII-293 p.) |z 978-0-8176-4378-2 | |
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