Real and Complex Singularities, Ana Claudia Nabarro, Juan J. Nuno-Ballesteros, Raul Oset Sinha, Maria Aparecida Soares Ruas

Автор: Andras N?methi; Agnes Szil?rd
Название: Deformations of Surface Singularities
ISBN: 3642391303 ISBN-13(EAN): 9783642391309
Издательство: Springer
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Описание: The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples.

Автор: Victor Goryunov, Kevin Houston, Roberta Wik-Atique
Название: Real and Complex Singularities
ISBN: 0821853597 ISBN-13(EAN): 9780821853597
Издательство: Mare Nostrum (Eurospan)
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Цена: 73920.00 T
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Описание: This volume is a collection of papers presented at the 11th International Workshop on Real and Complex Singularities, held July 26-30, 2010, in Sao Carlos, Brazil, in honor of David Mond's 60th birthday. This volume reflects the high level of the conference discussing the most recent results and applications of singularity theory. Articles in the first part cover pure singularity theory: invariants, classification theory, and Milnor fibres. Articles in the second part cover singularities in topology and differential geometry, as well as algebraic geometry and bifurcation theory: Artin-Greenberg function of a plane curve singularity, metric theory of singularities, symplectic singularities, cobordisms of fold maps, Goursat distributions, sections of analytic varieties, Vassiliev invariants, projections of hypersurfaces, and linearity of the Jacobian ideal.

Автор: Raimundo Nonato Araujo dos Santos, Victor Hugo Jorge Perez, Takashi Nishimura, Osamu Saeki
Название: School on Real and Complex Singularities in Sao Carlos, 2012
ISBN: 4864970300 ISBN-13(EAN): 9784864970303
Издательство: Mare Nostrum (Eurospan)
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Описание: Topics treated in this volume cover a wide range, including topology and geometry of real singularities, singularities of holomorphic map-germs, singularities of complex algebraic sets, algorithms of the computer algebra "SINGULAR", singularities of maps and characteristic classes, and limit cycles of systems of ordinary differential equations.

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: H.G. Garnir
Название: Singularities in Boundary Value Problems
ISBN: 9400984367 ISBN-13(EAN): 9789400984363
Издательство: Springer
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Описание: Proceedings of the NATO Advanced Study Institute, Maratea, Italy, September 22-October 3, 1980

Автор: Herwig Hauser; Joseph Lipman; Frans Oort; Adolfo Q
Название: Resolution of Singularities
ISBN: 303489550X ISBN-13(EAN): 9783034895507
Издательство: Springer
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Описание: Based on the courses given at the Working Week in Obergurgl, Austria, September 7-14, 1997

Автор: Anatoly Libgober; Mihai Tibar
Название: Trends in Singularities
ISBN: 3034894619 ISBN-13(EAN): 9783034894616
Издательство: Springer
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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: Iouri Egorov; Bert-Wolfgang Schulze
Название: Pseudo-Differential Operators, Singularities, Applications
ISBN: 3034898207 ISBN-13(EAN): 9783034898201
Издательство: Springer
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Цена: 79190.00 T
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Описание: Pseudo-differential operators belong to the most powerful tools in the analysis of partial differential equations. Basic achievements in the early sixties have initiated a completely new understanding of many old and important problems in analy- sis and mathematical physics. The standard calculus of pseudo-differential and Fourier integral operators may today be considered as classical. The development has been continuous since the early days of the first essential applications to ellip- ticity, index theory, parametrices and propagation of singularities for non-elliptic operators, boundary-value problems, and spectral theory. The basic ideas of the calculus go back to Giraud, Calderon, Zygmund, Mikhlin, Agranovich, Dynin, Vishik, Eskin, and Maslov. Subsequent progress was greatly stimulated by the classical works of Kohn, Nirenberg and Hormander. In recent years there developed a new vital interest in the ideas of micro- local analysis in connection with analogous fields of applications over spaces with singularities, e.g. conical points, edges, corners, and higher singularities. The index theory for manifolds with singularities became an enormous challenge for analysists to invent an adequate concept of ellipticity, based on corresponding symbolic structures. Note that index theory was another source of ideas for the later development of the theory of pseudo-differential operators. Let us mention, in particular, the fundamental contributions by Gelfand, Atiyah, Singer, and Bott.

Автор: Russel Caflisch; George C. Papanicolaou
Название: Singularities in Fluids, Plasmas and Optics
ISBN: 9401048940 ISBN-13(EAN): 9789401048941
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Описание: Proceedings of the NATO Advanced Research Workshop, Heraklion, Greece, July 6-10, 1992

Автор: Sergio Albeverio; Michael Demuth; Elmar Schrohe; B
Название: Parabolicity, Volterra Calculus, and Conical Singularities
ISBN: 3034894694 ISBN-13(EAN): 9783034894692
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Описание: Partial differential equations constitute an integral part of mathematics. One typical example is the analysis on singular configurations, where elliptic equations have been studied successfully within the framework of operator algebras with symbolic structures adapted to the geometry of the underlying space.

Автор: Vladimir I. Arnold; Gert-Martin Greuel; Joseph H.M
Название: Singularities
ISBN: 3034897677 ISBN-13(EAN): 9783034897679
Издательство: Springer
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Цена: 83850.00 T
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Описание: The diversity of subjects of the contributions reflects singularity theory`s relevance to topology, analysis and geometry, combining ideas and techniques from all of these fields, as well as demonstrating the breadth of Brieskorn`s own interests.

Автор: Bart Bories, Willem Veys
Название: Igusa`s $p$-Adic Local Zeta Function and the Monodromy Conjecture for Non-Degenerate Surface Singularities
ISBN: 147041841X ISBN-13(EAN): 9781470418410
Издательство: Mare Nostrum (Eurospan)
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Цена: 84090.00 T
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Описание: In 2011 Lemahieu and Van Proeyen proved the Monodromy Conjecture for the local topological zeta function of a non-degenerate surface singularity. The authors start from their work and obtain the same result for Igusa`s $p$-adic and the motivic zeta function.