Singularities of Mappings

The Local Behaviour of Smooth and Complex Analytic Mappings de

,

Éditeur :

Springer


Collection :

Grundlehren der mathematischen Wissenschaften

Paru le : 2020-01-23

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Description

The first monograph on singularities of mappings for many years, this book provides an introduction to the subject and an account of recent developments concerning the local structure of complex analytic mappings.
Part I of the book develops the now classical real C8 and complex analytic theories jointly. Standard topics such as stability, deformation theory and finite determinacy, are covered in this part. In Part II of the book, the authors focus on the complex case. The treatment is centred around the idea of the "nearby stable object" associated to an unstable map-germ, which includes in particular the images and discriminants of stable perturbations of unstable singularities. This part includes recent research results, bringing the reader up to date on the topic.
By focusing on singularities of mappings, rather than spaces, this book provides a necessary addition to the literature. Many examples and exercises, as well as appendices on background material,make it an invaluable guide for graduate students and a key reference for researchers. A number of graduate level courses on singularities of mappings could be based on the material it contains.
Pages
567 pages
Collection
Grundlehren der mathematischen Wissenschaften
Parution
2020-01-23
Marque
Springer
EAN papier
9783030344399
EAN PDF
9783030344405

Informations sur l'ebook
Nombre pages copiables
5
Nombre pages imprimables
56
Taille du fichier
12800 Ko
Prix
137,14 €