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Image of - Singularities Of Mappings The Local Behaviour Of Smooth And Complex Analytic Mappings | Paperback
Singularities Of Mappings The Local Behaviour Of Smooth And Complex Analytic Mappings | Paperback

Singularities Of Mappings The Local Behaviour Of Smooth And Complex Analytic Mappings | Paperback

by Mond D.

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 Cˆž 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.

Highlights

  • binding-icon

    9783030344429

    ISBN:

  • binding-icon

    Mond D.

    Author:

  • binding-icon

    567

    Pages:

  • binding-icon

    1050 gm

    Weight:

  • langauage-icon

    English

    Language:

  • date-icon

    2020

    Year:

  • edition-icon

    1st Edition

    Edition:

  • binding-icon

    Paperback

    Binding:

₹11317

₹14146

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 Cˆž 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.

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