Author: C. T. C. Wall
Publisher: Springer
ISBN: 3540365311
Category : Mathematics
Languages : en
Pages : 324

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Book Description

Author: C. T. C. Wall
Publisher: Springer
ISBN: 354036868X
Category : Mathematics
Languages : en
Pages : 288

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Book Description

Author: Charles T. C. Wall
Publisher:
ISBN: 9783662201138
Category :
Languages : en
Pages : 332

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Book Description

Author: David Mond
Publisher: Springer Nature
ISBN: 3030344401
Category : Mathematics
Languages : en
Pages : 572

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Book 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 C∞ 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.

Author: Charles Terence Clegg Wall
Publisher:
ISBN:
Category : Differential topology
Languages : en
Pages : 618

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Book Description

Author: C. T. C. Wall
Publisher: Springer
ISBN: 9783540055112
Category : Mathematics
Languages : en
Pages : 282

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Book Description

Author: University of Cambridge
Publisher:
ISBN:
Category : Engineering
Languages : en
Pages : 624

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Book Description

Author: Nicolaas Hendrik Kuiper
Publisher: Cambridge University Press
ISBN: 9780521620475
Category : Mathematics
Languages : en
Pages : 372

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Book Description
First published in 1997, this book contains six in-depth articles on various aspects of the field of tight and taut submanifolds and concludes with an extensive bibliography of the entire field. The book is dedicated to the memory of Nicolaas H. Kuiper; the first paper is an unfinished but insightful survey of the field of tight immersions and maps written by Kuiper himself. Other papers by leading researchers in the field treat topics such as the smooth and polyhedral portions of the theory of tight immersions, taut, Dupin and isoparametric submanifolds of Euclidean space, taut submanifolds of arbitrary complete Riemannian manifolds, and real hypersurfaces in complex space forms with special curvature properties. Taken together these articles provide a comprehensive survey of the field and point toward several directions for future research.

Author: James Montaldi
Publisher: Cambridge University Press
ISBN: 1107151643
Category : Mathematics
Languages : en
Pages : 449

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Book Description
This textbook gives a contemporary account of singularity theory and its principal application, bifurcation theory.

Author: José Luis Cisneros-Molina
Publisher: Springer Nature
ISBN: 3030957608
Category : Mathematics
Languages : en
Pages : 822

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Book Description
This is the third volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state of the art of the subject, its frontiers, and its interactions with other areas of research. This volume consists of ten chapters which provide an in-depth and reader-friendly survey of various important aspects of singularity theory. Some of these complement topics previously explored in volumes I and II, such as, for instance, Zariski’s equisingularity, the interplay between isolated complex surface singularities and 3-manifold theory, stratified Morse theory, constructible sheaves, the topology of the non-critical levels of holomorphic functions, and intersection cohomology. Other chapters bring in new subjects, such as the Thom–Mather theory for maps, characteristic classes for singular varieties, mixed Hodge structures, residues in complex analytic varieties, nearby and vanishing cycles, and more. Singularities are ubiquitous in mathematics and science in general. Singularity theory interacts energetically with the rest of mathematics, acting as a crucible where different types of mathematical problems interact, surprising connections are born and simple questions lead to ideas which resonate in other parts of the subject, and in other subjects. Authored by world experts, the various contributions deal with both classical material and modern developments, covering a wide range of topics which are linked to each other in fundamental ways. The book is addressed to graduate students and newcomers to the theory, as well as to specialists who can use it as a guidebook.