Harmonic Vector Fields

Harmonic Vector Fields PDF Author: Sorin Dragomir
Publisher: Elsevier
ISBN: 0124158269
Category : Computers
Languages : en
Pages : 529

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Book Description
An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector ?elds with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail. A useful tool for any scientist conducting research in the field of harmonic analysis Provides applications and modern techniques to problem solving A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds Physical Applications of Geometric Methods

Harmonic Vector Fields

Harmonic Vector Fields PDF Author: Sorin Dragomir
Publisher: Elsevier
ISBN: 0124158269
Category : Computers
Languages : en
Pages : 529

Get Book Here

Book Description
An excellent reference for anyone needing to examine properties of harmonic vector fields to help them solve research problems. The book provides the main results of harmonic vector ?elds with an emphasis on Riemannian manifolds using past and existing problems to assist you in analyzing and furnishing your own conclusion for further research. It emphasizes a combination of theoretical development with practical applications for a solid treatment of the subject useful to those new to research using differential geometric methods in extensive detail. A useful tool for any scientist conducting research in the field of harmonic analysis Provides applications and modern techniques to problem solving A clear and concise exposition of differential geometry of harmonic vector fields on Reimannian manifolds Physical Applications of Geometric Methods

Integral Methods in Science and Engineering

Integral Methods in Science and Engineering PDF Author: Barbara S Bertram
Publisher: CRC Press
ISBN: 0429525109
Category : Mathematics
Languages : en
Pages : 329

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Book Description
Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.

Selected Topics in Harmonic Maps

Selected Topics in Harmonic Maps PDF Author: James Eells
Publisher: American Mathematical Soc.
ISBN: 9780821888957
Category : Mathematics
Languages : en
Pages : 108

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Book Description


Two Reports on Harmonic Maps

Two Reports on Harmonic Maps PDF Author: James Eells
Publisher: World Scientific
ISBN: 9789810214661
Category : Mathematics
Languages : en
Pages : 38

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Book Description
Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry. They include holomorphic maps, minimal surfaces, å-models in physics. Recently, they have become powerful tools in the study of global properties of Riemannian and K„hlerian manifolds.A standard reference for this subject is a pair of Reports, published in 1978 and 1988 by James Eells and Luc Lemaire.This book presents these two reports in a single volume with a brief supplement reporting on some recent developments in the theory. It is both an introduction to the subject and a unique source of references, providing an organized exposition of results spread throughout more than 800 papers.

Harmonic Function Theory

Harmonic Function Theory PDF Author: Sheldon Axler
Publisher: Springer Science & Business Media
ISBN: 1475781377
Category : Mathematics
Languages : en
Pages : 266

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Book Description
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.

Visualization and Mathematics III

Visualization and Mathematics III PDF Author: Hans-Christian Hege
Publisher: Springer Science & Business Media
ISBN: 3662051052
Category : Psychology
Languages : en
Pages : 455

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Book Description
A collection of state-of-the-art presentations on visualization problems in mathematics, fundamental mathematical research in computer graphics, and software frameworks for the application of visualization to real-world problems. Contributions have been written by leading experts and peer-refereed by an international editorial team. The book grew out of the third international workshop ‘Visualization and Mathematics’, May 22-25, 2002 in Berlin. The variety of topics covered makes the book ideal for researcher, lecturers, and practitioners.

Vector Fields with Applications to Thermodynamics and Irreversibility

Vector Fields with Applications to Thermodynamics and Irreversibility PDF Author: Luis Manuel Braga da Costa Campos
Publisher: CRC Press
ISBN: 9781003186595
Category : Mathematics
Languages : en
Pages : 0

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Book Description
"This book is part of the series "Mathematics and Physics Applied to Science and Technology." It combines rigorous mathematics with general physical principles to model practical engineering systems with a detailed derivation and interpretation of results"--

Complex, Contact and Symmetric Manifolds

Complex, Contact and Symmetric Manifolds PDF Author: Oldrich Kowalski
Publisher: Springer Science & Business Media
ISBN: 0817644245
Category : Mathematics
Languages : en
Pages : 277

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Book Description
* Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology * Dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring contributions to these fields * Papers include all necessary introductory and contextual material to appeal to non-specialists, as well as researchers and differential geometers

Fourier Analysis on Local Fields. (MN-15)

Fourier Analysis on Local Fields. (MN-15) PDF Author: M. H. Taibleson
Publisher: Princeton University Press
ISBN: 1400871336
Category : Mathematics
Languages : en
Pages : 308

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Book Description
This book presents a development of the basic facts about harmonic analysis on local fields and the n-dimensional vector spaces over these fields. It focuses almost exclusively on the analogy between the local field and Euclidean cases, with respect to the form of statements, the manner of proof, and the variety of applications. The force of the analogy between the local field and Euclidean cases rests in the relationship of the field structures that underlie the respective cases. A complete classification of locally compact, non-discrete fields gives us two examples of connected fields (real and complex numbers); the rest are local fields (p-adic numbers, p-series fields, and their algebraic extensions). The local fields are studied in an effort to extend knowledge of the reals and complexes as locally compact fields. The author's central aim has been to present the basic facts of Fourier analysis on local fields in an accessible form and in the same spirit as in Zygmund's Trigonometric Series (Cambridge, 1968) and in Introduction to Fourier Analysis on Euclidean Spaces by Stein and Weiss (1971). Originally published in 1975. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Potential Theory - ICPT 94

Potential Theory - ICPT 94 PDF Author: Josef Kral
Publisher: Walter de Gruyter
ISBN: 3110818574
Category : Mathematics
Languages : en
Pages : 513

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Book Description
The series is aimed specifically at publishing peer reviewed reviews and contributions presented at workshops and conferences. Each volume is associated with a particular conference, symposium or workshop. These events cover various topics within pure and applied mathematics and provide up-to-date coverage of new developments, methods and applications.