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Harmonic Vector Fields

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Harmonic Vector Fields

Harmonic Vector Fields Book
Author : Sorin Dragomir,Domenico Perrone
Publisher : Elsevier
Release : 2012
ISBN : 0124158269
Language : En, Es, Fr & De

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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 fields 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 on Pseudo Riemannian Manifolds

Harmonic Vector Fields on Pseudo Riemannian Manifolds Book
Author : Robert Michael Friswell
Publisher : Unknown
Release : 2014
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Harmonic Vector Fields on Pseudo Riemannian Manifolds book written by Robert Michael Friswell, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

On Annihilators of Harmonic Vector Fields

On Annihilators of Harmonic Vector Fields Book
Author : Björn Gustafsson,Dmitry Khavinson
Publisher : Unknown
Release : 1993
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download On Annihilators of Harmonic Vector Fields book written by Björn Gustafsson,Dmitry Khavinson, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Harmonic Vector Fields

Harmonic Vector Fields Book
Author : Nathan A. Clayton
Publisher : CreateSpace
Release : 2015-08-17
ISBN : 9781516929467
Language : En, Es, Fr & De

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Book Description :

This updated and expanded second edition of the Harmonic Vector Fields: Variational Principles and Differential Geometry provides a user-friendly introduction to the subject, Taking a clear structural framework, it guides the reader through the subject's core elements. A flowing writing style combines with the use of illustrations and diagrams throughout the text to ensure the reader understands even the most complex of concepts. This succinct and enlightening overview is a required reading for all those interested in the subject . We hope you find this book useful in shaping your future career & Business. Feel free to send us your inquiries related to our publications to info@pwpublishers.pw

New Developments in Differential Geometry Budapest 1996

New Developments in Differential Geometry  Budapest 1996 Book
Author : Conference on Differential Geometry
Publisher : Springer Science & Business Media
Release : 1999
ISBN : 9780792353072
Language : En, Es, Fr & De

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Book Description :

Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996

An Approximation Theorem for Integrable Harmonic Vector Fields

An Approximation Theorem for Integrable Harmonic Vector Fields Book
Author : Björn Gustafsson,Makoto Sakai
Publisher : Unknown
Release : 1991
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download An Approximation Theorem for Integrable Harmonic Vector Fields book written by Björn Gustafsson,Makoto Sakai, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Electromagnetism of Continuous Media

Electromagnetism of Continuous Media Book
Author : Mauro Fabrizio,Professor of Rational Mechanics Mauro Fabrizio,Angelo Morro,Professor of Mathematical Physics Angelo Morro
Publisher : Oxford University Press
Release : 2003-06-05
ISBN : 9780198527008
Language : En, Es, Fr & De

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Book Description :

For graduate students and researchers, this self contained text provides a carefully structured, coherent, and comprehensive treatment of the mathematical modelling in electromagnetism of continuous media. The authors provide a systematic review of known subjects along with many original results. Part I reviews basic notions and approaches in electromagnetism (Maxwell's equations, Green's functions, harmonic fields, dispersive effects) and emphasizes the physical motivation for the modelling of non-conventional materials. The frequency-dependent properties (such as conductivity, polarizability, and magnetizability), which enter wave diffraction and dispersion, are shown, and these lead to a discussion of models of materials with fading memory in the time domain. Part II develops the thermodynamics of electromagnetic and thermoelectromagnetic materials with memory and provides a systematic account of thermodynamic restrictions. Existence, uniqueness and stability problems are investigated. Also, variational formulations and wave propagation solution are established. Part III is devoted to more involved models which are motivated by the interest in materials and structures with non-conventional properties. The mathematical modelling deals with non-linearity, non-locality and hysteresis. In non-linear materials attention is focussed on the generation of harmonics and in discontinuity waves. Non-locality is examined in a general way and hence is applied to superconductivity. Hysteresis is developed for magnetism. A review of known schemes is given along with new results about the modelling of hysteresis loops. The wide application of technologies in new mechanical, electronic and biomedical systems calls for materials and structures with non-conventional properties (e.g materials with 'memory'). Of equal importance is the understanding of the physical behaviour of these materials and consequently developing mathematical modelling techniques for prediction. Includes appendices that include some properties of Bessel functions, Fourier transforms and Sobolev spaces, compact operators and eigenfunctions, differential operators in curvilinear coordinates, and finite formulation of electromagnetism.

Complex Analysis and Dynamical Systems

Complex Analysis and Dynamical Systems Book
Author : Mark Lʹvovich Agranovskiĭ
Publisher : American Mathematical Soc.
Release : 2004
ISBN : 0821836862
Language : En, Es, Fr & De

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Book Description :

This book contains contributions from the participants of an international conference on complex analysis and dynamical systems. The papers collected here are devoted to various topics in complex analysis and dynamical systems, ranging from properties of holomorphic mappings to attractors in hyperbolic spaces. Overall, these selections provide an overview of activity in analysis at the outset of the twenty-first century. The book is suitable for graduate students and researchers in complex analysis and related problems of dynamics. With this volume, the Israel Mathematical Conference Proceedings are now published as a subseries of the ""AMS Contemporary Mathematics"" series.

Integral Methods in Science and Engineering

Integral Methods in Science and Engineering Book
Author : Barbara S Bertram,Christian Constanda,Allan A. Struthers
Publisher : CRC Press
Release : 2019-05-20
ISBN : 9781420036039
Language : En, Es, Fr & De

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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.

Differential Geometric Structures

Differential Geometric Structures Book
Author : Walter A. Poor
Publisher : Courier Corporation
Release : 2015-04-27
ISBN : 0486151913
Language : En, Es, Fr & De

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Book Description :

This introductory text defines geometric structure by specifying parallel transport in an appropriate fiber bundle and focusing on simplest cases of linear parallel transport in a vector bundle. 1981 edition.

Harmonic Maps and Differential Geometry

Harmonic Maps and Differential Geometry Book
Author : John C. Wood
Publisher : American Mathematical Soc.
Release : 2011
ISBN : 0821849875
Language : En, Es, Fr & De

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Book Description :

This volume contains the proceedings of a conference held in Cagliari, Italy, from September 7-10, 2009, to celebrate John C. Wood's 60th birthday. These papers reflect the many facets of the theory of harmonic maps and its links and connections with other topics in Differential and Riemannian Geometry. Two long reports, one on constant mean curvature surfaces by F. Pedit and the other on the construction of harmonic maps by J. C. Wood, open the proceedings. These are followed by a mix of surveys on Prof. Wood's area of expertise: Lagrangian surfaces, biharmonic maps, locally conformally Kahler manifolds and the DDVV conjecture, as well as several research papers on harmonic maps. Other research papers in the volume are devoted to Willmore surfaces, Goldstein-Pedrich flows, contact pairs, prescribed Ricci curvature, conformal fibrations, the Fadeev-Hopf model, the Compact Support Principle and the curvature of surfaces.

Integral Equation Methods in Scattering Theory

Integral Equation Methods in Scattering Theory Book
Author : David Colton,Rainer Kress
Publisher : SIAM
Release : 2013-11-15
ISBN : 1611973163
Language : En, Es, Fr & De

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Book Description :

This classic book provides a rigorous treatment of the Riesz?Fredholm theory of compact operators in dual systems, followed by a derivation of the jump relations and mapping properties of scalar and vector potentials in spaces of continuous and HÓlder continuous functions. These results are then used to study scattering problems for the Helmholtz and Maxwell equations. Readers will benefit from a full discussion of the mapping properties of scalar and vector potentials in spaces of continuous and HÓlder continuous functions, an in-depth treatment of the use of boundary integral equations to solve scattering problems for acoustic and electromagnetic waves, and an introduction to inverse scattering theory with an emphasis on the ill-posedness and nonlinearity of the inverse scattering problem.

Movement of Acoustic Energy in the Ocean

Movement of Acoustic Energy in the Ocean Book
Author : Vladimir A. Shchurov
Publisher : Springer Nature
Release : 2022-06-26
ISBN : 9811913005
Language : En, Es, Fr & De

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Book Description :

This book highlights the advantages of the vector-phase method in underwater acoustic measurements and presents results of theoretical and experimental studies of the deep open ocean and shallow sea based on vector-phase representations. Based on the physical phenomena discovered and compensation of counter streams of energy and vortices of the acoustic intensity vector, processes of transmitting acoustic energy of a tonal signal in the real ocean are described. The book also discusses the development of advanced detection tools based on vector-phase sonar. This book provides useful content for professionals and researchers working in various fields of applied underwater acoustics.

Gauging What s Real

Gauging What s Real Book
Author : Richard Healey
Publisher : OUP Oxford
Release : 2007-09-27
ISBN : 0191537071
Language : En, Es, Fr & De

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Book Description :

Gauge theories have provided our most successful representations of the fundamental forces of nature. How, though, do such representations work? Interpretations of gauge theory aim to answer this question. Through understanding how a gauge theory's representations work, we are able to say what kind of world our gauge theories reveal to us. A gauge theory's representations are mathematical structures. These may be transformed among themselves while certain features remain the same. Do the representations related by such a gauge transformation merely offer alternative ways of representing the very same situation? If so, then gauge symmetry is a purely formal property since it reflects no corresponding symmetry in nature. Gauging What's Real describes the representations provided by gauge theories in both classical and quantum physics. Richard Healey defends the thesis that gauge transformations are purely formal symmetries of almost all the classes of representations provided by each of our theories of fundamental forces. He argues that evidence for classical gauge theories of forces (other than gravity) gives us reason to believe that loops rather than points are the locations of fundamental properties. In addition to exploring the prospects of extending this conclusion to the quantum gauge theories of the Standard Model of elementary particle physics, Healey assesses the difficulties faced by attempts to base such ontological conclusions on the success of these theories.

Selected Papers From Volumes 33 and 34 of Vychislitel naya Seysmologiya

Selected Papers From Volumes 33 and 34 of Vychislitel naya Seysmologiya Book
Author : Alik Ismail-Zade
Publisher : John Wiley & Sons
Release : 2013-05-08
ISBN : 1118671724
Language : En, Es, Fr & De

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Book Description :

Published by the American Geophysical Union as part of the Computational Seismology and Geodynamics Series, Volume 8. The American Geophysical Union (AGU) and the Editorial Board of Computational Seismology and Geodynamics (CSG) are happy to present the eighth volume of CSG. This volume contains 19 selected, translated, and reviewed articles of volumes 33 and 34 of Vychislitel'naya Seismologiya (VS), which deal with seismicity and seismic hazard, forward and inverse problems in seismology, geodynamics, geomagnetism, and self-organized criticality. The Russian annual journal Vychislitel'naya Seysmologiya was established in 1966 by Volodya Keilis-Borok, one of most eminent geophysicists of our time, as a media for publication of the best results in the theoretical, computational and mathematical seismology. For a short period of time the journal had become a prominent and known among mathematical geophysicists around the world. In 1970s the journal began to publish also articles related to non-linear dynamics and earthquake prediction and later to computational geodynamics. Many distinguished seismologists, geophysicists, and mathematicians, like G. Barenblatt, A. Dziewonski, I. Gelfand, H. Huppert, H. Kanamori, L. Kantorovich, L. Knopoff, F. Press, D. Turcotte, and others, published their research articles in VS. Twenty-one volumes of the journal were translated and published by Allerton Press, USA. Since 1994 AGU agreed to publish selected and peer-reviewed articles in volumes entitled CSG. Volume 1 (159 pp.) 1994 selected articles from Volumes 22 & 23 Volume 2 (188 pp.) 1994 selected articles from Volumes 24 & 25 Volume 3 (236 pp.) 1996 selected articles from Volumes 26 & 27 Volume 4 (200 pp.) 1999 selected articles from Volumes 28 & 29 Volume 5 (132 pp.) 2003 selected articles from Volume 30 Volume 6 (102 pp.) 2004 selected articles from Volume 31 Volume 7 (250 pp.) 2005 selected articles from Volume 32 Volume 8 (186 pp.) 2008 selected articles from Volumes 33 & 34

Data Visualization 2000

Data Visualization 2000 Book
Author : W. de Leeuw,R. van Liere
Publisher : Springer Science & Business Media
Release : 2012-12-06
ISBN : 3709167833
Language : En, Es, Fr & De

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Book Description :

It is becoming increasingly clear that the use of human visual perception for data understanding is essential in many fields of science. This book contains the papers presented at VisSym’00, the Second Joint Visualization Symposium organized by the Eurographics and the IEEE Computer Society Technical Committee on Visualization and Graphics (TCVG). It reports on 27 new algorithms, techniques and applications in the area of data visualization. The topics are scientific data visualization and information visualization. It gives practitioners and visualization researchers an overview of the state of the art and of future directions of data visualization.

Selected Topics in Harmonic Maps

Selected Topics in Harmonic Maps Book
Author : James Eells,Luc Lemaire
Publisher : American Mathematical Soc.
Release : 1983-01-01
ISBN : 9780821888957
Language : En, Es, Fr & De

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Book Description :

Download Selected Topics in Harmonic Maps book written by James Eells,Luc Lemaire, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Vector Fields of Bryant Type for Foliations and Harmonic Morphisms

Vector Fields of Bryant Type for Foliations and Harmonic Morphisms Book
Author : Mo Xiaohuan
Publisher : Unknown
Release : 2001
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Vector Fields of Bryant Type for Foliations and Harmonic Morphisms book written by Mo Xiaohuan, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Killing Vector Fields and Harmonic Forms

Killing Vector Fields and Harmonic Forms Book
Author : Edward Thomas Wright
Publisher : Unknown
Release : 1973
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Killing Vector Fields and Harmonic Forms book written by Edward Thomas Wright, available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.

Bulletin of the Belgian Mathematical Society Simon Stevin

Bulletin of the Belgian Mathematical Society  Simon Stevin Book
Author : Anonim
Publisher : Unknown
Release : 2005
ISBN : 0987650XXX
Language : En, Es, Fr & De

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Book Description :

Download Bulletin of the Belgian Mathematical Society Simon Stevin book written by , available in PDF, EPUB, and Kindle, or read full book online anywhere and anytime. Compatible with any devices.