From the reviews: "The book is about applications of global and stochastic analysis in mathematical physics. The majority of the book reflects the work and contributions of the author and his collaborators in this field. ... The author, by putting various preparation materials together, has done a good job presenting the theory in a book that for the most part is quite readable. The book is a valuable contribution to the literature, and is recommended to anyone ... who is interested in problems of mathematical physics." (Ming Liao, Mathematical Reviews, Issue 2012 d)

• 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.

From the reviews: "The book is about applications of global and stochastic analysis in mathematical physics. The majority of the book reflects the work and contributions of the author and his collaborators in this field. ... The author, by putting various preparation materials together, has done a good job presenting the theory in a book that for the most part is quite readable. The book is a valuable contribution to the literature, and is recommended to anyone ... who is interested in problems of mathematical physics." (Ming Liao, Mathematical Reviews, Issue 2012 d)

• 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.

From the reviews: "The book is about applications of global and stochastic analysis in mathematical physics. The majority of the book reflects the work and contributions of the author and his collaborators in this field. ... The author, by putting various preparation materials together, has done a good job presenting the theory in a book that for the most part is quite readable. The book is a valuable contribution to the literature, and is recommended to anyone ... who is interested in problems of mathematical physics." (Ming Liao, Mathematical Reviews, Issue 2012 d)

• 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.