Mathematical Analysis Of Maxwell S Equations

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Maxwell S Equations In Periodic Structures

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Author : Gang Bao
language : en
Publisher: Springer Nature
Release Date : 2021-11-22

Maxwell S Equations In Periodic Structures written by Gang Bao and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-11-22 with Mathematics categories.

This book addresses recent developments in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell’s equations in periodic structures. The fundamental importance of the fields is clear, since they are related to technology with significant applications in optics and electromagnetics. The book provides both introductory materials and in-depth discussion to the areas in diffractive optics that offer rich and challenging mathematical problems. It is also intended to convey up-to-date results to students and researchers in applied and computational mathematics, and engineering disciplines as well.

Eddy Current Approximation Of Maxwell Equations

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Author : Ana Alonso Rodriguez
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-11-22

Eddy Current Approximation Of Maxwell Equations written by Ana Alonso Rodriguez and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-11-22 with Mathematics categories.

This book deals with the mathematical analysis and the numerical approximation of eddy current problems in the time-harmonic case. It takes into account all the most used formulations, placing the problem in a rigorous functional framework.

Time Domain Finite Element Methods For Maxwell S Equations In Metamaterials

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Author : Jichun Li
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-15

Time Domain Finite Element Methods For Maxwell S Equations In Metamaterials written by Jichun Li and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-15 with Computers categories.

The purpose of this book is to provide an up-to-date introduction to the time-domain finite element methods for Maxwell’s equations involving metamaterials. Since the first successful construction of a metamaterial with both negative permittivity and permeability in 2000, the study of metamaterials has attracted significant attention from researchers across many disciplines. Thanks to enormous efforts on the part of engineers and physicists, metamaterials present great potential applications in antenna and radar design, sub-wavelength imaging, and invisibility cloak design. Hence the efficient simulation of electromagnetic phenomena in metamaterials has become a very important issue and is the subject of this book, in which various metamaterial modeling equations are introduced and justified mathematically. The development and practical implementation of edge finite element methods for metamaterial Maxwell’s equations are the main focus of the book. The book finishes with some interesting simulations such as backward wave propagation and time-domain cloaking with metamaterials.

Mathematical Analysis Of Maxwell S Equations

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Author : Aurelia Minut
language : en
Publisher:
Release Date : 2001

Mathematical Analysis Of Maxwell S Equations written by Aurelia Minut and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Electromagnetic theory categories.

The Mathematical Analysis Of Electrical And Optical Wave Motion On The Basis Of Maxwell S Equations

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Author : Harry Bateman
language : en
Publisher: CUP Archive
Release Date : 2018-10-13

The Mathematical Analysis Of Electrical And Optical Wave Motion On The Basis Of Maxwell S Equations written by Harry Bateman and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-10-13 with History categories.

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Student S Guide To Maxwell S Equations

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Author : Daniel Fleisch
language : en
Publisher: Cambridge University Press
Release Date : 2008-01-10

A Student S Guide To Maxwell S Equations written by Daniel Fleisch and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-10 with Science categories.

Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere–Maxwell law are four of the most influential equations in science. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light. This book is a wonderful resource for undergraduate and graduate courses in electromagnetism and electromagnetics. A website hosted by the author at www.cambridge.org/9780521701471 contains interactive solutions to every problem in the text as well as audio podcasts to walk students through each chapter.

Electricity And Magnetism For Mathematicians

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Author : Thomas A. Garrity
language : en
Publisher: Cambridge University Press
Release Date : 2015-01-19

Electricity And Magnetism For Mathematicians written by Thomas A. Garrity and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-01-19 with Mathematics categories.

Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.

Symmetries Of Maxwell S Equations

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Author : W.I. Fushchich
language : en
Publisher: Springer Science & Business Media
Release Date : 1987-07-31

Symmetries Of Maxwell S Equations written by W.I. Fushchich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-07-31 with Science categories.

Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day, that they can't see the problem. perhaps you will find the fina\ question. G. K. Chesterton. The Scandal of Father 'The Hermit Oad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gu\ik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering; and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

The Many Faces Of Maxwell Dirac And Einstein Equations

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Author : Waldyr A. Rodrigues
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-07-03

The Many Faces Of Maxwell Dirac And Einstein Equations written by Waldyr A. Rodrigues and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-07-03 with Mathematics categories.

This book is a comprehensive reference on differential geometry. It shows that Maxwell, Dirac and Einstein fields, which were originally considered objects of a very different mathematical nature, have representatives as objects of the same mathematical nature. The book also analyzes some foundational issues of relativistic field theories. All calculation procedures are illustrated by many exercises that are solved in detail.

Applied Mathematical Analysis Theory Methods And Applications

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Author : Hemen Dutta
language : en
Publisher: Springer
Release Date : 2019-02-21

Applied Mathematical Analysis Theory Methods And Applications written by Hemen Dutta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-02-21 with Computers categories.

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.