birkhäuser basel springer basel jun 2004 (2 Ergebnisse)

Taschenbuch. Zustand: Neu. Neuware -In a nutshell, the book deals with direct decompositions of modules and associated concepts. The central notion of 'partially invertible homomorphisms¿, namely those that are factors of a non-zero idempotent, is introduced in a very accessible fashion. Units and regular elements are partially invertible. The 'total¿ consists of all elements that are not partially invertible. The total contains the radical and the singular and cosingular submodules, but while the total is closed under right and left multiplication, it may not be closed under addition. Cases are discussed where the total is additively closed. The total is particularly suited to deal with the endomorphism ring of the direct sum of modules that all have local endomorphism rings and is applied in this case. Further applications are given for torsion-free Abelian groups.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 152 pp. Englisch.

Buch. Zustand: Neu. Neuware -The present monograph is devoted to the construction and investigation of the new high order of accuracy difference schemes of approximating the solutions of regular and singular perturbation boundary value problems for partial differential equations. The construction is based on the exact difference scheme and Taylor's decomposition on the two or three points. This approach permitted essentially to extend to a class of problems where the theory of difference methods is applicable. Namely, now it is possible to investigate the differential equations with variable coefficients and regular and singular perturbation boundary value problems. The investigation is based on new coercivity inequalities.The book will be of value to professional mathematicians, as well as advanced students in the fields of numerical analysis, functional analysis, and ordinary and partial differential equations.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 460 pp. Englisch.