Geometrical Methods in the Theory of Ordinary Differential Equations, J. Sz?cs; Mark Levi; V.I. Arnold
Автор: N.A. Bobylov; S.V. Emel`yanov; S. Korovin Название: Geometrical Methods in Variational Problems ISBN: 0792357809 ISBN-13(EAN): 9780792357803 Издательство: Springer Рейтинг: Цена: 18167.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph presents methods for the investigation of nonlinear variational problems, based on geometric and topological ideas. Attention is also given to applications in optimization, mathematical physics, control, and numerical methods.
Автор: R. Martini Название: Geometrical Approaches to Differential Equations ISBN: 3540100180 ISBN-13(EAN): 9783540100188 Издательство: Springer Рейтинг: Цена: 4884.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Автор: Gerald Farin; Bernd Hamann; Hans Hagen Название: Hierarchical and Geometrical Methods in Scientific Visualization ISBN: 364262801X ISBN-13(EAN): 9783642628016 Издательство: Springer Рейтинг: Цена: 20896.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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]).
Автор: N.A. Bobylov; S.V. Emel`yanov; S. Korovin Название: Geometrical Methods in Variational Problems ISBN: 9401059551 ISBN-13(EAN): 9789401059558 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Since the building of all the Universe is perfect and is cre- ated by the wisdom Creator, nothing arises in the Universe in which one cannot see the sense of some maXImum or mInImUm Euler God moves the Universe along geometrical lines Plato Mathematical models of most closed physical systems are based on vari- ational principles, i.e., it is postulated that equations describing the evolu- tion of a system are the Euler Lagrange equations of a certain functional. In this connection, variational methods are one of the basic tools for studying many problems of natural sciences. The first problems related to the search for extrema appeared as far back as in ancient mathematics. They go back to Archimedes, Appolonius, and Euclid. In many respects, the problems of seeking maxima and minima have stimulated the creation of differential calculus; the variational prin- ciples of optics and mechanics, which were discovered in the seventeenth and eighteenth centuries, gave impetus to an intensive development of the calculus of variations. In one way or another, variational problems were of interest to such giants of natural sciences as Fermat, Newton, Descartes, Euler, Huygens, 1. Bernoulli, J. Bernoulli, Legendre, Jacobi, Kepler, La- grange, and Weierstrass.
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.).
Автор: Schutz, Bernard F. Название: Geometrical methods of mathematical physics / ISBN: 0521298873 ISBN-13(EAN): 9780521298872 Издательство: Cambridge Academ Рейтинг: Цена: 6334.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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.
Автор: M. A. Krasnoselskii; C. Fenske; P. P. Zabreiko Название: Geometrical Methods of Nonlinear Analysis ISBN: 364269411X ISBN-13(EAN): 9783642694110 Издательство: Springer Рейтинг: Цена: 12577.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: On the other hand, many problems of non- linear analysis are still far from a solution (problems arising from the internal development of mathematics and, in particular, problems arising in the process of interpreting new problems in the natural sciences).
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