Singularities, Bifurcations and Catastrophes, James Montaldi

Автор: Wolfram Decker; Gerhard Pfister; Mathias Schulze
Название: Singularities and Computer Algebra
ISBN: 3319288288 ISBN-13(EAN): 9783319288284
Издательство: Springer
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Цена: 102480.00 T
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Описание: With Gerhard Pfister and Hans Schonemann, he developed the computer algebra system SINGULAR, which has since become the computational tool of choice for many singularity theorists.The book addresses researchers whose work involves singularity theory and computer algebra from the PhD to expert level.

Автор: Anatoly Libgober; Mihai Tibar
Название: Trends in Singularities
ISBN: 3764367040 ISBN-13(EAN): 9783764367046
Издательство: Springer
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Цена: 93130.00 T
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Описание: Collects papers that represent advances in the geometry and topology of singularities. This title features contributions that discuss local as well as global aspects. It is suitable for a large audience in pure and applied mathematics, including researchers and graduate students working in algebraic geometry, singularity theory and related fields.

Автор: Koike Satoshi Et Al
Название: Topics On Real And Complex Singularities
ISBN: 9814596035 ISBN-13(EAN): 9789814596039
Издательство: World Scientific Publishing
Цена: 100320.00 T
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Описание: A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized. For example, the Hamiltonian mechanics, soapy films, size of an atom, business management, etc. In mathematics, a point where a given function attains an extreme value is called a critical point, or a singular point. The purpose of singularity theory is to explore the properties of singular points of functions and mappings.This is a volume on the proceedings of the fourth Japanese-Australian Workshop on Real and Complex Singularities held in Kobe, Japan. It consists of 11 original articles on singularities. Readers will be introduced to some important new notions for characterizations of singularities and several interesting results are delivered. In addition, current approaches to classical topics and state-of-the-art effective computational methods of invariants of singularities are also presented. This volume will be useful not only to the singularity theory specialists but also to general mathematicians.

Автор: Montaldi, James (university Of Manchester)
Название: Singularities, bifurcations and catastrophes
ISBN: 131660621X ISBN-13(EAN): 9781316606216
Издательство: Cambridge Academ
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Цена: 47510.00 T
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Описание: Suitable for advanced undergraduates, postgraduates and researchers, this text introduces the key ideas of modern singularity theory and develops an approach to the foundations of bifurcation theory, which is more flexible than the standard one. It contains numerous examples and problems, with solutions to a selection of them.

Автор: David Mond, Juan Jos? Nu?o-Ballesteros
Название: Singularities of Mappings
ISBN: 3030344398 ISBN-13(EAN): 9783030344399
Издательство: Springer
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Цена: 130430.00 T
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Описание: 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.

Автор: Michal Fe?kan
Название: Topological Degree Approach to Bifurcation Problems
ISBN: 1402087233 ISBN-13(EAN): 9781402087233
Издательство: Springer
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Цена: 93160.00 T
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Автор: Jos? Luis Cisneros-Molina; D?ng Tr?ng L?; Mutsuo O
Название: Singularities in Geometry, Topology, Foliations and Dynamics
ISBN: 3319393383 ISBN-13(EAN): 9783319393384
Издательство: Springer
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Цена: 139750.00 T
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Описание: This book features state-of-the-art research on singularities in geometry, topology, foliations and dynamics and provides an overview of the current state of singularity theory in these settings.Singularity theory is at the crossroad of various branches of mathematics and science in general.

Автор: Brasselet Jean-Paul
Название: Singularities
ISBN: 0521466318 ISBN-13(EAN): 9780521466318
Издательство: Cambridge Academ
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Цена: 58070.00 T
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Описание: This book contains papers given at the International Singularity Conference held in 1991 at Lille. Research workers in singularity theory or related subjects will find that this book contains a wealth of valuable information.

Автор: Gert-Martin Greuel; Christoph Lossen; Eugenii I. S
Название: Introduction to Singularities and Deformations
ISBN: 3642066585 ISBN-13(EAN): 9783642066580
Издательство: Springer
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Цена: 79190.00 T
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Описание: Singularity theory is a young, rapidly-growing topic with connections to algebraic geometry, complex analysis, commutative algebra, representations theory, Lie groups theory and topology, and many applications in the natural and technical sciences.

Автор: Anatoly Libgober; Mihai Tibar
Название: Trends in Singularities
ISBN: 3034894619 ISBN-13(EAN): 9783034894616
Издательство: Springer
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Цена: 46570.00 T
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Описание: Classification of fam- ilies of plane curves with prescribed singularities were among the first problems in algebraic geometry. Classification of plane cubics was known to Newton and classification of quartics was achieved by Klein at the end of the 19th century.

Автор: Antonio Campillo Lopez; Luis Narvaez Macarro
Название: Algebraic Geometry and Singularities
ISBN: 3034898703 ISBN-13(EAN): 9783034898706
Издательство: Springer
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Цена: 93160.00 T
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Описание: The volume contains both general and research papers. Among the first ones are papers showing recent and original developments or methods in subjects such as resolution of singularities, D-module theory, singularities of maps and geometry of curves. The research papers deal on topics related to, or close to, those listed_above. The contributions are organized in three parts according to their contents. Part I presents a set of papers on resolution of singularities, a topic of renewed activity. It deals with important topics of current interest, such as canonical, algorithmic, combinatorial and graphical procedures (Villamayor, Oka, Marijmin), as well as special results on desingularization in characteristic p (Cossart, Moh), and connections between resolution and structure of the space of arcs through a singularity (Gonz81ez-Sprinberg-Lejeune-Jalabert). Part II contains a series of papers on the study of singularities and its connections with differential systems and deformation or perturbation theo- ries. Two expository papers (Maisonobe-Briam;on: 'vlebkhout) describe, in an algebro-geometric way, the interaction between singularities and D-module t.he- ory including recent progress on Bernstein polynomials and Newton polygon techniques. Geometry of foliations (Henaut, Garcfa-Reguera), polar varieties and stratifications (Hajto) are also topics treated here. Two other papers (Wall, Greuel-Pfister) deal with quasihomogeneous singularities in the contexts of per- turbations and moduli spaces. Globalization of deformations of singularities (de Jong) and determination of complex topology from the real one ( 10nd) com- plete this series of papers. Part III consists of papers on algebraic geometry of curves and surfaces.

Автор: Shreeram S. Abhyankar
Название: Resolution of Singularities of Embedded Algebraic Surfaces
ISBN: 3540637192 ISBN-13(EAN): 9783540637196
Издательство: Springer
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Цена: 130430.00 T
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Описание: Most points of a variety are simple points. Singularities are special points, or points of multiplicity greater than one. Points of multiplicity two are double points, points of multiplicity three are tripie points, and so on. A nodal point of a curve is a double point where the curve crosses itself, such as the alpha curve.