Global and Stochastic Analysis with Applications to Mathematical Physics

• Κύριος συγγραφέας: Gliklikh, Yuri E. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: London : Springer London, 2011.
• Σειρά: Theoretical and Mathematical Physics,
• Θέματα: Mathematics.; Global analysis (Mathematics).; Manifolds (Mathematics).; Probabilities.; Physics.; Global Analysis and Analysis on Manifolds.; Probability Theory and Stochastic Processes.; Mathematical Methods in 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...

Πίνακας περιεχομένων:

• 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.