Global and Stochastic Analysis with Applications to Mathematical Physics
Methods of global analysis and stochastic analysis are most often applied in mathematical physics as separate entities, thus forming important directions in the field. However, while combination of the two subject areas is rare, it is fundamental for the consideration of a broader class of problems...
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| Format: | Electronic eBook |
| Language: | English |
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London :
Springer London,
2011.
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| Series: | Theoretical and Mathematical Physics,
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| Online Access: | Full Text via HEAL-Link |
Table of Contents:
- Part I Global Analysis
- Manifolds and Related Objects
- Connections
- Ordinary Differential Equations
- Elements of the Theory of Set-Valued Mappings
- Analysis on Groups of Diffeomorphisms
- Part II Stochastic Analysis
- Essentials from Stochastic Analysis in Linear Spaces
- Stochastic Analysis on Manifolds
- Mean Derivatives in Linear Spaces
- Mean Derivatives on Manifolds
- Stochastic Analysis on Groups of Diffeomorphism
- Part III Applications to Mathematical Physics
- Newtonian Mechanics
- Accessible Points and Sub-Manifolds of Mechanical Systems. Controllability
- Some Problems on Lorentz Manifolds
- Mechanical Systems with Random Perturbations
- The Newton-Nelson Equation
- Hydrodynamics.
