Differential Geometry and Mathematical Physics Part I. Manifolds, Lie Groups and Hamiltonian Systems /
Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reductio...
| Published in: | Springer eBooks |
|---|---|
| Main Authors: | , |
| Corporate Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Dordrecht :
Springer Netherlands : Imprint: Springer,
2013.
|
| Series: | Theoretical and Mathematical Physics,
|
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1007/978-94-007-5345-7 Перейти в каталог НБ ТГУ |
| LEADER | 03646nam a22005655i 4500 | ||
|---|---|---|---|
| 001 | vtls000485767 | ||
| 003 | RU-ToGU | ||
| 005 | 20210922065829.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 140715s2013 ne | s |||| 0|eng d | ||
| 020 | |a 9789400753457 |9 978-94-007-5345-7 | ||
| 024 | 7 | |a 10.1007/978-94-007-5345-7 |2 doi | |
| 035 | |a to000485767 | ||
| 039 | 9 | |y 201407152001 |z Александр Эльверович Гилязов | |
| 040 | |a Springer |c Springer |d RU-ToGU | ||
| 050 | 4 | |a QC5.53 | |
| 072 | 7 | |a PHU |2 bicssc | |
| 072 | 7 | |a SCI040000 |2 bisacsh | |
| 082 | 0 | 4 | |a 530.15 |2 23 |
| 100 | 1 | |a Rudolph, Gerd. |e author. |9 414781 | |
| 245 | 1 | 0 | |a Differential Geometry and Mathematical Physics |h [electronic resource] : |b Part I. Manifolds, Lie Groups and Hamiltonian Systems / |c by Gerd Rudolph, Matthias Schmidt. |
| 260 | |a Dordrecht : |b Springer Netherlands : |b Imprint: Springer, |c 2013. |9 710710 | ||
| 300 | |a XIII, 759 p. 39 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Theoretical and Mathematical Physics, |x 1864-5879 | |
| 505 | 0 | |a 1 Differentiable manifolds -- 2 Vector bundles -- 3 Vector fields -- 4 Differential forms -- 5 Lie groups -- 6 Lie group actions -- 7 Linear symplectic algebra -- 8 Symplectic geometry -- 9 Hamiltonian systems -- 10 Symmetries -- 11 Integrability -- 12 Hamilton-Jacobi theory -- References. | |
| 520 | |a Starting from an undergraduate level, this book systematically develops the basics of • Calculus on manifolds, vector bundles, vector fields and differential forms, • Lie groups and Lie group actions, • Linear symplectic algebra and symplectic geometry, • Hamiltonian systems, symmetries and reduction, integrable systems and Hamilton-Jacobi theory. The topics listed under the first item are relevant for virtually all areas of mathematical physics. The second and third items constitute the link between abstract calculus and the theory of Hamiltonian systems. The last item provides an introduction to various aspects of this theory, including Morse families, the Maslov class and caustics. The book guides the reader from elementary differential geometry to advanced topics in the theory of Hamiltonian systems with the aim of making current research literature accessible. The style is that of a mathematical textbook,with full proofs given in the text or as exercises. The material is illustrated by numerous detailed examples, some of which are taken up several times for demonstrating how the methods evolve and interact. | ||
| 650 | 0 | |a physics. |9 566227 | |
| 650 | 0 | |a Topological Groups. |9 305077 | |
| 650 | 0 | |a Global analysis. |9 303746 | |
| 650 | 0 | |a Global differential geometry. |9 566343 | |
| 650 | 0 | |a Mathematical physics. |9 296775 | |
| 650 | 0 | |a mechanics. |9 566235 | |
| 650 | 1 | 4 | |a Physics. |9 566228 |
| 650 | 2 | 4 | |a Mathematical Methods in Physics. |9 296778 |
| 650 | 2 | 4 | |a Global Analysis and Analysis on Manifolds. |9 303748 |
| 650 | 2 | 4 | |a Mechanics. |9 566236 |
| 650 | 2 | 4 | |a Topological Groups, Lie Groups. |9 305078 |
| 650 | 2 | 4 | |a Differential Geometry. |9 566344 |
| 700 | 1 | |a Schmidt, Matthias. |e author. |9 414782 | |
| 710 | 2 | |a SpringerLink (Online service) |9 143950 | |
| 773 | 0 | |t Springer eBooks | |
| 830 | 0 | |a Theoretical and Mathematical Physics, |9 566469 | |
| 856 | 4 | 0 | |u http://dx.doi.org/10.1007/978-94-007-5345-7 |
| 856 | |y Перейти в каталог НБ ТГУ |u https://koha.lib.tsu.ru/cgi-bin/koha/opac-detail.pl?biblionumber=356908 | ||
| 912 | |a ZDB-2-PHA | ||
| 950 | |a Physics and Astronomy (Springer-11651) | ||
| 999 | |c 356908 |d 356908 | ||