03273nmm a2200397 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002800139245012000167250001700287260004800304300003300352505112600385653005001511653002301561653003501584653003201619653001901651653003301670653002301703653002801726653003401754653004601788700002701834700002901861041001901890989003801909490009901947028003002046856007202076082001102148520071602159EB000714936EBX0100000000000000056801800000000000000.0cr|||||||||||||||||||||140122 ||| eng a97894010083411 aWiersma, Dirke[editor]00aNew Developments in Singularity TheoryhElektronische Ressourcecedited by Dirk Wiersma, C.T.C. Wall, V. Zakalyukin a1st ed. 2001 aDordrechtbSpringer Netherlandsc2001, 2001 aVIII, 472 pbonline resource0 aA: Singularities of real maps -- Classifications in Singularity Theory and Their Applications -- Applications of Flag Contact Singularities -- On Stokes Sets -- Resolutions of discriminants and topology of their complements -- Classifying Spaces of Singularities and Thorn Polynomials -- Singularities and Noncommutative Geometry -- B: Singular complex varietes -- The Geometry of Families of Singular Curves -- On the preparation theorem for subanalytic functions -- Computing Hodge-theoretic invariants of singularities -- Frobenius manifolds and variance of the spectral numbers -- Monodromy and Hodge Theory of Regular Functions -- Bifurcations and topology of meromorphic germs -- Unitary reflection groups and automorphisms of simple, hypersurface singularities -- Simple Singularities and Complex Reflections -- C: Singularities of holomorphic maps -- Discriminants, vector fields and singular hypersurfaces -- The theory of integral closure of ideals and modules: Applications and new developments -- Nonlinear Sections of Nonisolated Complete Intersections -- The Vanishing Topology of Non Isolated Singularities aSeveral Complex Variables and Analytic Spaces aAlgebraic Geometry aFunctions of complex variables aFunctions of real variables aReal Functions aManifolds and Cell Complexes aAlgebraic geometry aManifolds (Mathematics) aGlobal analysis (Mathematics) aGlobal Analysis and Analysis on Manifolds1 aWall, C.T.C.e[editor]1 aZakalyukin, V.e[editor]07aeng2ISO 639-2 bSBAaSpringer Book Archives -20040 aNATO Science Series II: Mathematics, Physics and Chemistry, Mathematics, Physics and Chemistry50a10.1007/978-94-010-0834-140uhttps://doi.org/10.1007/978-94-010-0834-1?nosfx=yxVerlag3Volltext0 a515.94 aSingularities arise naturally in a huge number of different areas of mathematics and science. As a consequence, singularity theory lies at the crossroads of paths that connect many of the most important areas of applications of mathematics with some of its most abstract regions. The main goal in most problems of singularity theory is to understand the dependence of some objects of analysis, geometry, physics, or other science (functions, varieties, mappings, vector or tensor fields, differential equations, models, etc.) on parameters. The articles collected here can be grouped under three headings. (A) Singularities of real maps; (B) Singular complex variables; and (C) Singularities of homomorphic maps