Differentiable manifolds : a theoretical physics approach
This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work's first three chapters introduce the basic concepts of the theory, such as differentiable ma...
Kaydedildi:
| Yazar: | |
|---|---|
| Materyal Türü: | Livre numérique |
| Dil: | Anglais |
| Baskı/Yayın Bilgisi: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Edisyon: | 1st ed. 2012. |
| Konular: | |
| Online Erişim: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Not: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Differentiable manifolds, a theoretical physics approach, Gerardo F. Torres del Castillo, [New York etc], Birkhäuser, [Springer], 2012, 1 vol. (VIII-275 p.), 978-0-8176-8270-5 |
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| 041 | 0 | |a eng | |
| 082 | |a 514.34 | ||
| 100 | 1 | |a Torres del Castillo, Gerardo Francisco, |d 1956- | |
| 245 | 1 | 0 | |a Differentiable manifolds : |b a theoretical physics approach |c Gerardo F. Torres del Castillo. |
| 250 | |a 1st ed. 2012. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 1 | |a Preface.-1 Manifolds.- 2 Lie Derivatives 3 Differential Forms 4 Integral Manifolds 5 Connections 6. Riemannian Manifolds 7 Lie Groups 8 Hamiltonian Classical Mechanics References.-Index. | |
| 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 This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics. The work's first three chapters introduce the basic concepts of the theory, such as differentiable maps, tangent vectors, vector and tensor fields, differential forms, local one-parameter groups of diffeomorphisms, and Lie derivatives. These tools are subsequently employed in the study of differential equations (Chapter 4), connections (Chapter 5), Riemannian manifolds (Chapter 6), Lie groups (Chapter 7), and Hamiltonian mechanics (Chapter 8). Throughout, the book contains examples, worked out in detail, as well as exercises intended to show how the formalism is applied to actual computations and to emphasize the connections among various areas of mathematics. Differentiable Manifolds is addressed to advanced undergraduate or beginning graduate students in mathematics or physics. Prerequisites include multivariable calculus, linear algebra, differential equations, and (for the last chapter) a basic knowledge of analytical mechanics. | ||
| 650 | |a Variétés différentiables | ||
| 650 | |a Physique mathématique | ||
| 776 | 0 | |0 158282949 |t Differentiable manifolds |o a theoretical physics approach |f Gerardo F. Torres del Castillo |c [New York etc] |n Birkhäuser |n [Springer] |d 2012 |p 1 vol. (VIII-275 p.) |z 978-0-8176-8270-5 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-0-8176-8271-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-6ZN6JB53-M |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:749614250 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-0-8176-8271-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:752362410 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-0-8176-8271-2 |z Accès INSA CVL | |
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