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Global Analysis in Mathematical Physics: Geometric and Stochastic Methods
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(Buch) |
Dieser Artikel gilt, aufgrund seiner Grösse, beim Versand als 3 Artikel!
Lieferstatus: |
i.d.R. innert 14-24 Tagen versandfertig |
Veröffentlichung: |
Dezember 1996
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Genre: |
Schulbücher |
ISBN: |
9783540548089 |
EAN-Code:
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9783540548089 |
Verlag: |
Springer New York |
Einband: |
Gebunden |
Sprache: |
English
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Dimensionen: |
H 241 mm / B 160 mm / D 18 mm |
Gewicht: |
524 gr |
Seiten: |
236 |
Zus. Info: |
HC runder Rücken kaschiert |
Bewertung: |
Titel bewerten / Meinung schreiben
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Inhalt: |
This book gives a common treatment to three areas of application of Global analysis to Mathematical Physics previously considered quite distant from each other. These areas are the geometry of manifolds applied to classical mechanics, stochastic differential geometry used in quantum and statistical mechanics, and infinite-dimensional differential geometry fundamental for hydrodynamics. TOC:Contents: Some Geometric Constructions in Calculus on Manifolds.- Geometric Formalism of Newtonian Mechanics.- Accessible Points of Mechanical Systems.- Stocastic Differential Equations on Riemannian Manifolds.- Langevin's Equation.- Mean Derivatives, Nelson's Stochastic Mechanics and Quantization.- Geometry of Manifolds of Diffeomorphisms.- Lagrangian Formalism of Hydrodynamics of an Ideal Incompressible Fluid.- Hydrodynamics of a Viscous Incompressible Fluid and Stochastic Differential Geometry of Groups of Diffeomorphisms. |
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