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Geometrical Optics and Related Topics, Ferrucio Colombini; Nicolas Lerner


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Автор: Ferrucio Colombini; Nicolas Lerner
Название:  Geometrical Optics and Related Topics
ISBN: 9781461273813
Издательство: Springer
Классификация:



ISBN-10: 1461273811
Обложка/Формат: Paperback
Страницы: 366
Вес: 0.53 кг.
Дата издания: 16.10.2012
Серия: Progress in Nonlinear Differential Equations and Their Applications
Язык: English
Размер: 234 x 156 x 20
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: This book contains fourteen research papers which are expanded versions of conferences given at a meeting held in September 1996 in Cortona, Italy. The topics include blowup questions for quasilinear equations in two dimensions, time decay of waves in LP, uniqueness results for systems of conservation laws in one dimension, concentra- tion effects for critical nonlinear wave equations, diffraction of nonlin- ear waves, propagation of singularities in scattering theory, caustics for semi-linear oscillations. Other topics linked to microlocal analysis are Sobolev embedding theorems in Weyl-Hormander calculus, local solv- ability for pseudodifferential equations, hypoellipticity for highly degen- erate operators. The book also contains a result on uniqueness for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for characteristic initial-boundary value problems. On each topic listed above, one will find new results as well as a description of the state of the art. Various methods related to nonlinear geometrical optics are a transversal theme of several articles. Pseu- dodifferential techniques are used to tackle classical PDE problems like Cauchy uniqueness. We are pleased to thank the speakers for their contributions to the meeting: Serge Alinhac, Mike Beals, Alberto Bressan, Jean-Yves Chemin, Christophe Cheverry, Daniele Del Santo, Nils Dencker, Patrick Gerard, Lars Hormander, John Hunter, Richard Melrose, Guy Metivier, Yoshinori Morimoto, and Tatsuo Nishitani. The meeting was made possible in part by the financial support of a European commission pro- gram, Human capital and mobility CHRX-CT94-044.


New computation methods for geometrical optics /

Автор: Lin, P. D.
Название: New computation methods for geometrical optics /
ISBN: 9814451789 ISBN-13(EAN): 9789814451789
Издательство: Springer
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Цена: 16769.00 р.
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Описание: This book employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It will serve as an important mathematical tool for automatic optical design.

Geometrical Charged-Particle Optics

Автор: Harald Rose
Название: Geometrical Charged-Particle Optics
ISBN: 3642321186 ISBN-13(EAN): 9783642321184
Издательство: Springer
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Цена: 23508.00 р.
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Описание: This book serves as a guide for researchers and graduate students seeking a comprehensive treatment of the design of instruments and beam-guiding systems of charged particles and their propagation in electromagnetic fields.

New Computation Methods for Geometrical Optics

Автор: Psang Dain Lin
Название: New Computation Methods for Geometrical Optics
ISBN: 9811013411 ISBN-13(EAN): 9789811013416
Издательство: Springer
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Цена: 14365.00 р.
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Описание: This book employs homogeneous coordinate notation to compute the first- and second-order derivative matrices of various optical quantities. It will serve as an important mathematical tool for automatic optical design.

Geometrical methods of mathematical physics /

Автор: Schutz, Bernard F.
Название: Geometrical methods of mathematical physics /
ISBN: 0521298873 ISBN-13(EAN): 9780521298872
Издательство: Cambridge Academ
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Цена: 6334.00 р.
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Описание: The methods of modern differential geometry have become important in theoretical physics and have applications in relativity, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their applications to theoretical physics.

Geometrical Properties of Differential Equations: Applications of the Lie Group Analysis in Financial Mathematics

Автор: Bordag Ljudmila A.
Название: Geometrical Properties of Differential Equations: Applications of the Lie Group Analysis in Financial Mathematics
ISBN: 9814667242 ISBN-13(EAN): 9789814667241
Издательство: World Scientific Publishing
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Цена: 10296.00 р.
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Описание:

This textbook is a short comprehensive and intuitive introduction to Lie group analysis of ordinary and partial differential equations. This practical-oriented material contains a large number of examples and problems accompanied by detailed solutions and figures. In comparison with the known beginner guides to Lie group analysis, the book is oriented toward students who are interested in financial mathematics, mathematical finance and economics.

We provide the results of the Lie group analysis of actual models in Financial Mathematics using recent publications. These models are usually formulated as nonlinear partial differential equations and are rather difficult to make use of. With the help of Lie group analysis it is possible to describe some important properties of these models and to obtain interesting reductions in a clear and understandable algorithmic way.

The book can serve as a short introduction for a further study of modern geometrical analysis applied to models in financial mathematics. It can also be used as textbook in a master's program, in an intensive compact course, or for self study.

The textbook with a large number of examples will be useful not only for students who are interested in Financial Mathematics but also for people who are working in other areas of research that are not directly connected with Physics (for instance in such areas of Applied Mathematics like mathematical economy, bio systems, coding theory, etc.).

Hierarchical and Geometrical Methods in Scientific Visualization

Автор: Gerald Farin; Bernd Hamann; Hans Hagen
Название: Hierarchical and Geometrical Methods in Scientific Visualization
ISBN: 364262801X ISBN-13(EAN): 9783642628016
Издательство: Springer
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Цена: 20896.00 р.
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Описание: The nature of the physical Universe has been increasingly better understood in recent years, and cosmological concepts have undergone a rapid evolution (see, e.g., [11], [2],or [5]).

Geometrical Foundations of Continuum Mechanics

Автор: Paul Steinmann
Название: Geometrical Foundations of Continuum Mechanics
ISBN: 3662464594 ISBN-13(EAN): 9783662464595
Издательство: Springer
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Цена: 20896.00 р.
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Описание: Geometrical Foundations of Continuum Mechanics


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