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This volume (a sequel to LNM 1108, 1214, 1334 and 1453)§continues the presentation to English speaking readers of§the Voronezh University press series on Global Analysis and§Its Applications. The papers are selected fromtwo Russian§issues entitled "Algebraic questions of Analysis and§Topology" and "Nonlinear Operators in Global Analysis".§CONTENTS: YuE. Gliklikh: Stochastic analysis, groups of§diffeomorphisms and Lagrangian description of viscous§incompressible fluid.- A.Ya. Helemskii: From topological§homology: algebras with different properties of homological§triviality.- V.V. Lychagin, L.V. Zil'bergleit: Duality in§stable Spencer cohomologies.- O.R. Musin: On some problems§of computational geometry and topology.- V.E. Nazaikinskii,§B.Yu. Sternin, V.E.Shatalov: Introduction to Maslov's§operational method (non-commutative analysis and§differential equations).- Yu.B. Rudyak: The problem of§realization of homology classes from Poincare up to the§present.- V.G. Zvyagin, N.M. Ratiner: Oriented degree of§Fredholm maps of non-negativeindex and its applications to§global bifurcation of solutions.- A.A. Bolibruch: Fuchsian§systems with reducible monodromy and the Riemann-Hilbert§problem.- I.V. Bronstein, A.Ya. Kopanskii: Finitely smooth§normal forms of vector fields in the vicinity of a rest§point.- B.D. Gel'man: Generalized degree of multi-valued§mappings.- G.N. Khimshiashvili: On Fredholmian aspects of§linear transmission problems.- A.S. Mishchenko: Stationary§solutions of nonlinear stochastic equations.- B.Yu. Sternin,§V.E. Shatalov: Continuation of solutions to elliptic§equations and localisation of singularities.- V.G. Zvyagin,§V.T. Dmitrienko: Properness of nonlinear elliptic§differential operators in H lder spaces.