This volume (a sequel to LNM 1108, 1214, 1334 and 1453)continues the presentation to English speaking readers ofthe Voronezh University press series on Global Analysis andIts Applications. The papers are selected fromtwo Russianissues entitled "Algebraic questions of Analysis andTopology" and "Nonlinear Operators in Global Analysis".CONTENTS: YuE. Gliklikh: Stochastic analysis, groups ofdiffeomorphisms and Lagrangian description of viscousincompressible fluid.- A.Ya. Helemskii: From topologicalhomology: algebras with different properties of homologicaltriviality.- V.V. Lychagin, L.V. Zil'bergleit: Duality instable Spencer cohomologies.- O.R. Musin: On some problemsof computational geometry and topology.- V.E. Nazaikinskii,B.Yu. Sternin, V.E.Shatalov: Introduction to Maslov'soperational method (non-commutative analysis anddifferential equations).- Yu.B. Rudyak: The problem ofrealization of homology classes from Poincare up to thepresent.- V.G. Zvyagin, N.M. Ratiner: Oriented degree ofFredholm maps of non-negativeindex and its applications toglobal bifurcation of solutions.- A.A. Bolibruch: Fuchsiansystems with reducible monodromy and the Riemann-Hilbertproblem.- I.V. Bronstein, A.Ya. Kopanskii: Finitely smoothnormal forms of vector fields in the vicinity of a restpoint.- B.D. Gel'man: Generalized degree of multi-valuedmappings.- G.N. Khimshiashvili: On Fredholmian aspects oflinear transmission problems.- A.S. Mishchenko: Stationarysolutions of nonlinear stochastic equations.- B.Yu. Sternin,V.E. Shatalov: Continuation of solutions to ellipticequations and localisation of singularities.- V.G. Zvyagin,V.T. Dmitrienko: Properness of nonlinear ellipticdifferential operators in H|lder spaces.