Global and Stochastic Analysis with Applications to Mathematical Physics

Authors:

ISBN: 978-0-85729-162-2 (Print) 978-0-85729-163-9 (Online)

Table of contents (16 chapters)

  1. Front Matter

    Pages I-XXIII

  2. Global Analysis

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-34

      Manifolds and Related Objects

    3. No Access

      Book Chapter

      Pages 35-66

      Connections

    4. No Access

      Book Chapter

      Pages 67-96

      Ordinary Differential Equations

    5. No Access

      Book Chapter

      Pages 97-104

      Elements of the Theory of Set-Valued Mappings

    6. No Access

      Book Chapter

      Pages 105-112

      Analysis on Groups of Diffeomorphisms

  3. Stochastic Analysis

    1. Front Matter

      Pages 113-113

    2. No Access

      Book Chapter

      Pages 115-138

      Essentials from Stochastic Analysis in Linear Spaces

    3. No Access

      Book Chapter

      Pages 139-186

      Stochastic Analysis on Manifolds

    4. No Access

      Book Chapter

      Pages 187-224

      Mean Derivatives in Linear Spaces

    5. No Access

      Book Chapter

      Pages 225-246

      Mean Derivatives on Manifolds

    6. No Access

      Book Chapter

      Pages 247-252

      Stochastic Analysis on Groups of Diffeomorphisms

  4. Applications to Mathematical Physics

    1. Front Matter

      Pages 253-253

    2. No Access

      Book Chapter

      Pages 255-282

      Newtonian Mechanics

    3. No Access

      Book Chapter

      Pages 283-298

      Accessible Points and Sub-Manifolds of Mechanical Systems. Controllability

    4. No Access

      Book Chapter

      Pages 299-330

      Some Problems on Lorentz Manifolds

    5. No Access

      Book Chapter

      Pages 331-354

      Mechanical Systems with Random Perturbations

    6. No Access

      Book Chapter

      Pages 355-386

      The Newton-Nelson Equation

    7. No Access

      Book Chapter

      Pages 387-414

      Hydrodynamics

  5. Back Matter

    Pages 415-436