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Mathematical Models with Singularities, Pedro J. Torres


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Автор: Pedro J. Torres
Название:  Mathematical Models with Singularities
ISBN: 9789462391055
Издательство: Springer
Классификация:



ISBN-10: 946239105X
Обложка/Формат: Paperback
Страницы: 124
Вес: 0.20 кг.
Дата издания: 04.02.2015
Серия: Atlantis Briefs in Differential Equations
Язык: English
Размер: 234 x 156 x 8
Основная тема: Mathematics
Подзаголовок: A Zoo of Singular Creatures
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: The book aims to provide an unifying view of a variety (a `zoo`) of mathematical models with some kind of singular nonlinearity, in the sense that it becomes infinite when the state variable approaches a certain point. Each chapter starts with a discussion of the basic model and its physical significance.


Mathematical methods and models for economists

Автор: Fuente, Angel de la.
Название: Mathematical methods and models for economists
ISBN: 0521585295 ISBN-13(EAN): 9780521585293
Издательство: Cambridge Academ
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Цена: 8554.00 р.
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Описание: This book is intended as a textbook for a first-year PhD course in mathematics for economists and as a reference for graduate students in economics. It provides a self-contained, rigorous treatment of most of the concepts and techniques required to follow the standard first-year theory sequence in micro and macroeconomics.

Pseudo-Differential Operators, Singularities, Applications

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: 11878.00 р.
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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.

Singularities and Oscillations

Автор: Jeffrey Rauch; Michael Taylor
Название: Singularities and Oscillations
ISBN: 0387982000 ISBN-13(EAN): 9780387982007
Издательство: Springer
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Цена: 20962.00 р.
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Описание: This volume contains a multiplicity of approaches brought to bear on problems varying from the formation of caustics and the propagation of waves at a boundary, to the examination of viscous boundary layers.

Ramified Integrals, Singularities and Lacunas

Автор: V.A. Vassiliev
Название: Ramified Integrals, Singularities and Lacunas
ISBN: 0792331931 ISBN-13(EAN): 9780792331933
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Contains an introduction to the Picard-Lefschetz theory, which controls the ramification and qualitative behaviour of important functions of PDEs and integral geometry, and its foundations in singularity theory. This book treats solutions to problems of these theories.

Resolution of Singularities

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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Цена: 6986.00 р.
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Описание: Based on the courses given at the Working Week in Obergurgl, Austria, September 7-14, 1997

Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities

Автор: Zi Cai Li
Название: Combined Methods for Elliptic Equations with Singularities, Interfaces and Infinities
ISBN: 1461333407 ISBN-13(EAN): 9781461333401
Издательство: Springer
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Цена: 15372.00 р.
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Описание: The combined methods have many advantages over single methods: high accuracy of solutions, less CPU time, less computer storage, easy coupling with singularities as well as the complicated boundary conditions. Since coupling techniques are essential to combinations, various matching strategies among different methods are carefully discussed.

Singularities of Caustics and Wave Fronts

Автор: Vladimir Arnold
Название: Singularities of Caustics and Wave Fronts
ISBN: 0792310381 ISBN-13(EAN): 9780792310389
Издательство: Springer
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Цена: 13275.00 р.
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Описание: One service mathematics has rendered the 'Et moi, ... ) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non- The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non- linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com- puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.

Singularities in Linear Wave Propagation

Автор: Lars Garding
Название: Singularities in Linear Wave Propagation
ISBN: 354018001X ISBN-13(EAN): 9783540180012
Издательство: Springer
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Цена: 3487.00 р.
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Описание: Includes lecture notes stemming from a course given at the Nankai Institute for Mathematics, Tianjin, in 1986 that center on the construction of parametrices for fundamental solutions of hyperbolic differential and pseudodifferential operators.


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