A termék adatai:
| ISBN13: | 9780198872535 |
| ISBN10: | 0198872534 |
| Kötéstípus: | Keménykötés |
| Terjedelem: | 416 oldal |
| Méret: | 240x160x10 mm |
| Súly: | 1 g |
| Nyelv: | angol |
| 700 |
Témakör:
Solitons, Instantons, and Twistors
Sorozatcím:
Oxford Graduate Texts in Mathematics;
Kiadás sorszáma: 2
Kiadó: OUP Oxford
Megjelenés dátuma: 2024. május 7.
Normál ár:
Kiadói listaár:
GBP 110.00
GBP 110.00
Az Ön ára:
47 817 (45 540 Ft + 5% áfa )
Kedvezmény(ek): 10% (kb. 5 313 Ft)
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Rövid leírás:
The book provides a self-contained and accessible introduction to integrable systems. It starts with an introduction to integrability of ordinary and partial differential equations, and goes on to explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations.
Hosszú leírás:
Most nonlinear differential equations arising in natural sciences admit chaotic behaviour and cannot be solved analytically. Integrable systems lie on the other extreme. They possess regular, stable, and well-behaved solutions known as solitons and instantons. These solutions play important roles in pure and applied mathematics as well as in theoretical physics where they describe configurations topologically different from vacuum. While integrable equations in lower space-time dimensions can be solved using the inverse scattering transform, the higher-dimensional examples of anti-self-dual Yang-Mills and Einstein equations require twistor theory. Both techniques rely on an ability to represent nonlinear equations as compatibility conditions for overdetermined systems of linear differential equations.
The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.
The book provides a self-contained and accessible introduction to the subject. It starts with an introduction to integrability of ordinary and partial differential equations. Subsequent chapters explore symmetry analysis, gauge theory, vortices, gravitational instantons, twistor transforms, and anti-self-duality equations. The three appendices cover basic differential geometry, complex manifold theory, and the exterior differential system.
Tartalomjegyzék:
Integrability in classical mechanics
Soliton equations and the inverse scattering transform
Hamiltonian formalism and zero-curvature representation
Lie symmetries and reductions
Lagrangian formalism and field theory
Gauge field theory
Integrability of ASDYM and twistor theory
Symmetry reductions and the integrable chiral model
Vortices
Gravitational instantons
Anti-self-dual conformal structures
Soliton equations and the inverse scattering transform
Hamiltonian formalism and zero-curvature representation
Lie symmetries and reductions
Lagrangian formalism and field theory
Gauge field theory
Integrability of ASDYM and twistor theory
Symmetry reductions and the integrable chiral model
Vortices
Gravitational instantons
Anti-self-dual conformal structures