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Dirichlet`s Principle, Conformal Mapping, and Minimal Surfaces, R. Courant


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Автор: R. Courant
Название:  Dirichlet`s Principle, Conformal Mapping, and Minimal Surfaces
ISBN: 9781461299196
Издательство: Springer
Классификация: ISBN-10: 1461299195
Обложка/Формат: Paperback
Страницы: 332
Вес: 0.47 кг.
Дата издания: 06.11.2011
Язык: English
Размер: 229 x 152 x 19
Основная тема: Mathematics
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: It has always been a temptation for mathematicians to present the crystallized product of their thoughts as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods of more general significance. The present book deals with subjects of this category. It is written in a style which, as the author hopes, expresses adequately the balance and tension between the individuality of mathematical objects and the generality of mathematical methods. The author has been interested in Dirichlets Principle and its various applications since his days as a student under David Hilbert. Plans for writing a book on these topics were revived when Jesse Douglas work suggested to him a close connection between Dirichlets Principle and basic problems concerning minimal sur- faces. But war work and other duties intervened; even now, after much delay, the book appears in a much less polished and complete form than the author would have liked.


A Primer on the Dirichlet Space

Автор: El-Fallah
Название: A Primer on the Dirichlet Space
ISBN: 1107047528 ISBN-13(EAN): 9781107047525
Издательство: Cambridge Academ
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Цена: 10613.00 р.
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Описание: This systematic account of the Dirichlet space provides an introduction that will be valuable to researchers in function theory, assembling results previously only found in scattered research articles. Containing more than 100 exercises, the book is also suitable for self-study by graduate students in mathematics.

Siegel`s Modular Forms and Dirichlet Series

Автор: Hans Maa?
Название: Siegel`s Modular Forms and Dirichlet Series
ISBN: 3540055630 ISBN-13(EAN): 9783540055631
Издательство: Springer
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Цена: 5583.00 р.
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Описание: "Siegel`s Modular Forms and Dirichlet Series".

Dirichlet Integrals on Harmonic Spaces

Автор: F.-Y. Maeda
Название: Dirichlet Integrals on Harmonic Spaces
ISBN: 3540099956 ISBN-13(EAN): 9783540099956
Издательство: Springer
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Цена: 3487.00 р.
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The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations

Автор: Jan Chabrowski
Название: The Dirichlet Problem with L2-Boundary Data for Elliptic Linear Equations
ISBN: 3540544860 ISBN-13(EAN): 9783540544869
Издательство: Springer
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Цена: 3492.00 р.
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Описание: This monograph explores recent advances in the study of the Dirichlet problem with L2-boundary data, featuring the use of weighted Sobolev spaces. Some basic knowledge of Sobolev spaces and measure theory is required.

Dirichlet Forms

Автор: Gianfausto Dell`Antonio; E. Fabes; M. Fukushima; U
Название: Dirichlet Forms
ISBN: 3540574212 ISBN-13(EAN): 9783540574217
Издательство: Springer
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Цена: 4884.00 р.
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Описание: An exploration of the theory of Dirichlet forms, which covers recent research developments both in theoretical foundations and in such applications as stochastic processes, regularity problems, the hypercontractivity of semigroups and logarithmic Sobolev inequalities.

Elementary Dirichlet Series and Modular Forms

Автор: Goro Shimura
Название: Elementary Dirichlet Series and Modular Forms
ISBN: 1441924787 ISBN-13(EAN): 9781441924780
Издательство: Springer
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Цена: 6986.00 р.
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Описание: A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives. Also, the author may be encouraged to include new results, provided that they help the reader gain newinsightsandarepresentedalongwithknownoldresultsinaclearexposition. Itis with this philosophy that Iwrite this volume. The two subjects, Dirichlet series and modular forms, are traditional, but I treat them in both orthodox and unorthodox ways. However, I try to make the book accessible to those who are not familiar with such topics, by including plenty of expository material. More speci?c descriptions of the contents will be given in the Introduction. To some extent, this book has a supplementary nature to my previous book Introduction to the Arithmetic Theory of Automorphic Functions, published by Princeton University Press in 1971, though I do not write the present book with that intent. While the 1971 book grew out of my lectures in various places, the essential points of this new book have never been presented publicly or privately. I hope that it will draw an audience as large as that of the previous book.

Dirichlet-Dirichlet Domain Decomposition Methods For Elliptic Problems: H And Hp Finite Element Discretizations

Автор: Korneev Vadim Glebiovich Et Al
Название: Dirichlet-Dirichlet Domain Decomposition Methods For Elliptic Problems: H And Hp Finite Element Discretizations
ISBN: 9814578452 ISBN-13(EAN): 9789814578455
Издательство: World Scientific Publishing
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Цена: 24552.00 р.
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Описание:

Domain decomposition (DD) methods provide powerful tools for constructing parallel numerical solution algorithms for large scale systems of algebraic equations arising from the discretization of partial differential equations. These methods are well-established and belong to a fast developing area. In this volume, the reader will find a brief historical overview, the basic results of the general theory of domain and space decomposition methods as well as the description and analysis of practical DD algorithms for parallel computing. It is typical to find in this volume that most of the presented DD solvers belong to the family of fast algorithms, where each component is efficient with respect to the arithmetical work. Readers will discover new analysis results for both the well-known basic DD solvers and some DD methods recently devised by the authors, e.g., for elliptic problems with varying chaotically piecewise constant orthotropism without restrictions on the finite aspect ratios.

The hp finite element discretizations, in particular, by spectral elements of elliptic equations are given significant attention in current research and applications. This volume is the first to feature all components of Dirichlet-Dirichlet-type DD solvers for hp discretizations devised as numerical procedures which result in DD solvers that are almost optimal with respect to the computational work. The most important DD solvers are presented in the matrix/vector form algorithms that are convenient for practical use.


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