Complex Analysis and Dynamical Systems VI: Part 1: PDE, Differential Geometry, Radon Transform, Mark L. Agranovsky, Matania Ben-Artzi, Greg Galloway, Lavi Karp, Dmitry Khavinson

Автор: Rubin
Название: Introduction to Radon Transforms
ISBN: 0521854598 ISBN-13(EAN): 9780521854597
Издательство: Cambridge Academ
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Цена: 174240.00 T
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Описание: This comprehensive introduction for students and researchers explores Radon transforms and related operators when the basic manifolds are the real Euclidean space, the unit sphere, and the real hyperbolic space. Applications include analysis, integral and convex geometry, and medical imaging. Open problems and recent results are also presented.

Автор: Carlos A. Berenstein; Enrico Casadio Tarabusi; Mas
Название: Integral Geometry, Radon Transforms and Complex Analysis
ISBN: 3540642072 ISBN-13(EAN): 9783540642077
Издательство: Springer
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Цена: 32560.00 T
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Описание: This is a collection of essays taken from a conference: three of them deal with various aspects of integral geometry, with a common emphasis on several kinds of Radon transforms, their properties and applications, the other two share stress on CR manifolds and related problems.

Автор: Jan Vries
Название: Topological Dynamical Systems: An Introduction to the Dynamics of Continuous Mappings
ISBN: 3110340739 ISBN-13(EAN): 9783110340730
Издательство: Walter de Gruyter
Цена: 148700.00 T
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Описание: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Автор: Morris W. Hirsch
Название: Differential Equations, Dynamical Systems, and an Introduction to Chaos
ISBN: 0123820103 ISBN-13(EAN): 9780123820105
Издательство: Elsevier Science
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Цена: 88690.00 T
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Описание: Suitable for students in the fields of mathematics, science, and engineering, this title provides a theoretical approach to dynamical systems and chaos. It helps them to analyze the types of differential equations that arise in their area of study.

Автор: Wen Lan
Название: Differentiable Dynamical Systems
ISBN: 1470427990 ISBN-13(EAN): 9781470427993
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
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Описание: This is a graduate text in differentiable dynamical systems. It focuses on structural stability and hyperbolicity, a topic that is central to the field. Starting with the basic concepts of dynamical systems, analyzing the historic systems of the Smale horseshoe, Anosov toral automorphisms, and the solenoid attractor, the book develops the hyperbolic theory first for hyperbolic fixed points and then for general hyperbolic sets. The problems of stable manifolds, structural stability, and shadowing property are investigated, which lead to a highlight of the book, the Ω-stability theorem of Smale.While the content is rather standard, a key objective of the book is to present a thorough treatment for some tough material that has remained an obstacle to teaching and learning the subject matter. The treatment is straightforward and hence could be particularly suitable for self-study.

Автор: Guido Schneider, Hannes Uecker
Название: Nonlinear PDEs: A Dynamical Systems Approach
ISBN: 1470436132 ISBN-13(EAN): 9781470436131
Издательство: Mare Nostrum (Eurospan)
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Цена: 112860.00 T
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Описание: This is an introductory textbook about nonlinear dynamics of PDEs, with a focus on problems over unbounded domains and modulation equations. The presentation is example-oriented, and new mathematical tools are developed step by step, giving insight into some important classes of nonlinear PDEs and nonlinear dynamics phenomena which may occur in PDEs.The book consists of four parts. Parts I and II are introductions to finite- and infinite-dimensional dynamics defined by ODEs and by PDEs over bounded domains, respectively, including the basics of bifurcation and attractor theory. Part III introduces PDEs on the real line, including the Korteweg-de Vries equation, the Nonlinear Schrodinger equation and the Ginzburg-Landau equation. These examples often occur as simplest possible models, namely as amplitude or modulation equations, for some real world phenomena such as nonlinear waves and pattern formation. Part IV explores in more detail the connections between such complicated physical systems and the reduced models. For many models, a mathematically rigorous justification by approximation results is given.The parts of the book are kept as self-contained as possible. The book is suitable for self-study, and there are various possibilities to build one- or two-semester courses from the book.

Автор: Sigurdur Helgason
Название: Integral Geometry and Radon Transforms
ISBN: 1489994203 ISBN-13(EAN): 9781489994202
Издательство: Springer
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Цена: 60550.00 T
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Описание: Integral geometry is a fascinating area where numerous branches of mathematics meet together. This book is concentrated around the duality and double fibration, which is realized through the masterful treatment of a variety of examples.

Автор: Brin
Название: Introduction to Dynamical Systems
ISBN: 1107538947 ISBN-13(EAN): 9781107538948
Издательство: Cambridge Academ
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Цена: 51750.00 T
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Описание: This introduction to the subject of dynamical systems is ideal for a one-year graduate course. From chapter one, the authors use examples to motivate, clarify and develop the theory. The book rounds off with beautiful and remarkable applications to such areas as number theory, data storage, and Internet search engines.

Автор: Ulrich Krause
Название: Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications
ISBN: 3110369753 ISBN-13(EAN): 9783110369755
Издательство: Walter de Gruyter
Цена: 161100.00 T
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Описание: This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences. "The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)

Автор: Mark L. Agranovsky, Matania Ben-Artzi, Greg Galloway, Lavi Karp, Dmitry Khavinson
Название: Complex Analysis and Dynamical Systems VI: Part 2: Complex Analysis, Quasiconformal Mappings, Complex Dynamics
ISBN: 1470417030 ISBN-13(EAN): 9781470417031
Издательство: Mare Nostrum (Eurospan)
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Цена: 108110.00 T
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Описание: The papers in this collection range over a wide variety of topics in complex analysis, quasiconformal mappings, and complex dynamics. Taken together, the articles provide the reader with a panorama of activity in these areas, drawn by a number of leading figures in the field. They testify to the continued vitality of the interplay between classical and modern analysis.

Автор: Sekigawa Kouei Et Al
Название: Trends In Differential Geometry, Complex Analysis And Mathematical Physics - Proceedings Of 9Th International Workshop On Complex Structures, Integrability And Vector Fields
ISBN: 9814277711 ISBN-13(EAN): 9789814277716
Издательство: World Scientific Publishing
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Цена: 116160.00 T
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Описание: Offers information for researchers in complex analysis, differential geometry and mathematical physics. This book contains various developments and trends in the studies on constructions of holomorphic Cliffordian functions; and, the swelling constructions of minimal surfaces with higher genus in flat tori.