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Fourier Analysis and Partial Differential Equations, Rafael Jos? Iorio, Jr



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Цена: 11761р.
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Склад Англия: 642 шт.  Склад Америка: 52 шт.  
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Автор: Rafael Jos? Iorio, Jr
Название:  Fourier Analysis and Partial Differential Equations
Издательство: Cambridge Academ
Классификация:
Дифферунциально и интегральное исчисление и математический анализ
Вероятность и статистика

ISBN: 052162116X
ISBN-13(EAN): 9780521621168
ISBN: 0-521-62116-X
ISBN-13(EAN): 978-0-521-62116-8
Обложка/Формат: Hardback
Страницы: 424
Вес: 0.832 кг.
Дата издания: 15.03.2001
Серия: Cambridge Studies in Advanced Mathematics
Язык: ENG
Иллюстрации: 9 line figures 283 exercises
Размер: 228 x 152 x 24
Читательская аудитория: Professional & vocational
Ссылка на Издательство: Link
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Поставляется из: Англии
Описание: This modern introduction to Fourier analysis and partial differential equations is intended to be used with courses for beginning graduate students. With minimal prerequisites the authors take the reader from fundamentals to research topics in the area of nonlinear evolution equations. The first part of the book consists of some very classical material, followed by a discussion of the theory of periodic distributions and the periodic Sobolev spaces. The authors then turn to the study of linear and nonlinear equations in the setting provided by periodic distributions. They assume only some familiarity with Banach and Hilbert spaces and the elementary properties of bounded linear operators. After presenting a fairly complete discussion of local and global well-posedness for the nonlinear Schrodinger and the Korteweg-de Vries equations, they turn their attention, in the two final chapters, to the non-periodic setting, concentrating on problems that do not occur in the periodic case.
Дополнительное описание: Subject: Mathematics / Abstract Analysis and Probability Theory
Readership: pure mathematics, analysis, Fourier analysis, partial differential equations, applied mathematics
Level: academic researchers, graduate students
Format: 228 x 152 mm 424pp 9 line diagrams 283 exercises
Chapter Titles: Part I. Fourier Series and Periodic Distributions: 1. Preliminaries; 2. Fourier series: basic theory; 3. Periodic distributions and Sobolev spaces; Part II. Applications to Partial Differential Equations: 4. Linear equations; 5. Nonlinear evolution equations; 6. The Korteweg-de Vries; Part III: 7. Distributions, Fourier transforms and linear equations; 8. KdV, BO and friends; Appendix A. Tools from the theory of ODEs; Appendix B. Commutator estimates; Bibliography; Index.





Fourier Analysis and Nonlinear Partial Differential Equations

Автор: Bahouri
Название: Fourier Analysis and Nonlinear Partial Differential Equations
ISBN: 3642168299 ISBN-13(EAN): 9783642168291
Издательство: Springer
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Цена: 11219 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: In recent years, the Fourier analysis methods have expereinced a growing interest in the study of partial differential equations. In particular, those techniques based on the Littlewood-Paley decomposition have proved to be very efficient for the study of evolution equations. The present book aims at presenting self-contained, state- of- the- art models of those techniques with applications to different classes of partial differential equations: transport, heat, wave and Schr?dinger equations.  It also offers more sophisticated models originating from fluid mechanics (in particular the incompressible and compressible Navier-Stokes equations) or general relativity. It is either directed to anyone with a good undergraduate level of knowledge in analysis or useful for experts who are eager to know the benefit that one might gain from Fourier analysis when dealing with nonlinear partial differential equations.

Linear Partial Differential Equations and Fourier Theory

Автор: Pivato
Название: Linear Partial Differential Equations and Fourier Theory
ISBN: 0521136598 ISBN-13(EAN): 9780521136594
Издательство: Cambridge Academ
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Цена: 4891 р.
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Описание: Do you want a rigorous book that remembers where PDEs come from and what they look like? This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction – the most powerful tool for solving problems – rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

Fourier Series and Numerical Methods for Partial Differential Equations

Автор: Bernatz
Название: Fourier Series and Numerical Methods for Partial Differential Equations
ISBN: 0470617969 ISBN-13(EAN): 9780470617960
Издательство: Wiley
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Цена: 9562 р.
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Описание: Unable to find a suitable coursebook for an introductory PDE course, the author wrote one that combines the needed foundation and theory with tangible applications in physics and other disciplines. Since many practical applications are non-linear, numerical solution techniques are required.

The Analysis of Linear Partial Differential Operators I / Distribution Theory and Fourier Analysis

Автор: HГ¶rmander Lars
Название: The Analysis of Linear Partial Differential Operators I / Distribution Theory and Fourier Analysis
ISBN: 3540006621 ISBN-13(EAN): 9783540006626
Издательство: Springer
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Цена: 4674 р.
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Описание: Vol. 1 of Lars HГ¶rmander's influential 4-volume treatise is a detailed exposition of the theory of distributions.From the reviews: "In order to illustrate the richness of the book: in my review of the 1983 edition [...] I gave a list of 20 subjects which were new compared to HГ¶rmander's book of 1963. Most of these subjects concern important, basic and highly nontrivial theorems in analysis. HГ¶rmander's treatment of these is extremely clear and efficient and often highly original. [...] Most of the exercises are witty, with an interesting point. The phrasing of both the exercises and the answers and hints is very careful [...]  In all, the book can be highly recommended, both as a textbook for advanced students, and as background and reference for introductory courses on distributions and Fourier analysis."J.J. Duistermaat in Mededelingen van het Wiskundig Genootschap  

Zeytounian, Navier-Stokes-Fourier Equations

Название: Zeytounian, Navier-Stokes-Fourier Equations
ISBN: 3642207456 ISBN-13(EAN): 9783642207457
Издательство: Springer
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Цена: 14854 р.
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Описание: This research monograph deals with a modeling theory of the system of Navier-Stokes-Fourier equations for a Newtonian fluid governing a compressible viscous and heat conducting flows. The main objective is threefold. First , to 'deconstruct' this Navier-Stokes-Fourier system in order to unify the puzzle of the various partial simplified approximate models used in Newtonian Classical Fluid Dynamics and this, first facet, have obviously a challenging approach and a very important pedagogic impact on the university education. The second facet of the main objective is to outline a rational consistent asymptotic/mathematical theory of the of  fluid flows modeling on the basis of a typical Navier-Stokes-Fourier  initial and boundary value problem. The third facet is devoted to an illustration of our rational asymptotic/mathematical modeling theory for various technological and geophysical stiff  problems from: aerodynamics, thermal and thermocapillary convections and also meteofluid dynamics.

An Introduction to Laplace transforms and Fourier series

Автор: Dyke, P. P. G.
Название: An Introduction to Laplace transforms and Fourier series
ISBN: 1852330155 ISBN-13(EAN): 9781852330156
Издательство: Springer
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Цена: 3268 р.
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Описание: The Laplace transform is a useful tool for solving practical mathematical problems. It has a wealth of applications (for example, engineers use it to solve engineering problems). This book takes introduces the basics of Laplace Transforms.

The Fourier Integral and Certain of its Applications

Автор: Wiener, Norbert
Название: The Fourier Integral and Certain of its Applications
ISBN: 0521358841 ISBN-13(EAN): 9780521358842
Издательство: Cambridge Academ
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Цена: 3121 р.
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Описание: The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour.

Geometric Partial Differential Equations and Image Analysis

Автор: Guillermo Sapiro
Название: Geometric Partial Differential Equations and Image Analysis
ISBN: 0521685079 ISBN-13(EAN): 9780521685078
Издательство: Cambridge Academ
Цена: 4162 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book provides an introduction to the use of geometric partial differential equations in image processing and computer vision. This research area brings a number of new concepts into the field, providing a very fundamental and formal approach to image processing. State-of-the-art practical results in a large number of real problems are achieved with the techniques described in this book. Applications covered include image segmentation, shape analysis, image enhancement, and tracking. This book will be a useful resource for researchers and practitioners. It is intended to provide information for people investigating new solutions to image processing problems as well as for people searching for existent advanced solutions.

A First Course in Fourier Analysis

Автор: David W. Kammler
Название: A First Course in Fourier Analysis
ISBN: 0521709792 ISBN-13(EAN): 9780521709798
Издательство: Cambridge Academ
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Цена: 6140 р.
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Описание: This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

Fourier Analysis on Number Fields

Автор: Ramakrishnan
Название: Fourier Analysis on Number Fields
ISBN: 0387984364 ISBN-13(EAN): 9780387984360
Издательство: Springer
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Цена: 7947 р.
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Описание: Offers a modern approach to number theory through a blending of complementary algebraic and analytic perspectives, emphasizing harmonic analysis on topological groups. This book covers John Tate`s visionary thesis, giving virtually the necessary analytic details and topological preliminaries - technical prerequisites.

Fourier Analysis and Applications

Автор: Gasquet
Название: Fourier Analysis and Applications
ISBN: 0387984852 ISBN-13(EAN): 9780387984858
Издательство: Springer
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Цена: 7288 р.
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Описание: Focussing on Fourier Analysis, filters and signal analysis from an applications point of view, this is an applied mathematics text. It is useful for scientists and engineers who have the need to model problems. This book contains many exercises and selected worked out solutions.

Fourier and Wavelet Analysis

Автор: Bachmann
Название: Fourier and Wavelet Analysis
ISBN: 0387988998 ISBN-13(EAN): 9780387988993
Издательство: Springer
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Цена: 6634 р.
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Описание: Includes the history for perspective, proofs, hints, and exercises on Fourier series, transforms, and more. This textbook is useful for a first or second year graduate course on Fourier analysis.


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