# an introduction to maxwell s equations

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## A Student S Guide To Maxwell S Equations

**Author :**Daniel Fleisch

**ISBN :**1139468472

**Genre :**Science

**File Size :**80. 21 MB

**Format :**PDF, Kindle

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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.

## Maxwell S Equations

**Author :**Paul G. Huray

**ISBN :**9780470549902

**Genre :**Science

**File Size :**52. 79 MB

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An authoritative view of Maxwell's Equations that takes theory to practice Maxwell's Equations is a practical guide to one of the most remarkable sets of equations ever devised. Professor Paul Huray presents techniques that show the reader how to obtain analytic solutions for Maxwell's equations for ideal materials and boundary conditions. These solutions are then used as a benchmark for solving real-world problems. Coverage includes: An historical overview of electromagnetic concepts before Maxwell and how we define fundamental units and universal constants today A review of vector analysis and vector operations of scalar, vector, and tensor products Electrostatic fields and the interaction of those fields with dielectric materials and good conductors A method for solving electrostatic problems through the use of Poisson's and Laplace's equations and Green's function Electrical resistance and power dissipation; superconductivity from an experimental perspective; and the equation of continuity An introduction to magnetism from the experimental inverse square of the Biot-Savart law so that Maxwell's magnetic flux equations can be deduced Maxwell's Equations serves as an ideal textbook for undergraduate students in junior/senior electromagnetics courses and graduate students, as well as a resource for electrical engineers.

## Maxwell S Equations And The Principles Of Electromagnetism

**Author :**Richard Fitzpatrick

**ISBN :**9781934015209

**Genre :**Science

**File Size :**29. 55 MB

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Designed for upper division electromagnetism courses or as a reference for electrical engineers and scientists, this book introduces Maxwell’s equations and electromagnetic waves as soon as possible (i.e., in the first third of the book), and then goes on to discuss electrostatics, magnetostatics, induction, etc., in the light of those equations. The book also provides a thorough discussion of vector field theory which emphasizes the rotational invariance of the dot and cross products, together with div, grad, and curl, and thus gives a clear physical motivation for the use of those constructs to describe electric and magnetic fields. Unlike many competing books, Maxwell’s Equations & the Principles of Electromagnetism covers topics such as advanced potentials, retarded fields, forces on dielectric liquids, antenna theory, and Faraday rotations.

## Introduction To Maxwells Equations

**Author :**John Bolton

**ISBN :**0749269855

**Genre :**Electromagnetism

**File Size :**20. 19 MB

**Format :**PDF, ePub, Mobi

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This book will bring together the introductory ideas about electromagnetism from S207 and the mathematical techniques met in MST207, and show how the synthesis of the two leads to a more powerful and complete understanding of both. It will show how the language of mathematics, and vector calculus in particular, provides a concise framework for description of basic electromagnetic phenomena and the complex spatial relationships that are implicit in them. It will also use the physical phenomena to give meaning to mathematical ideas and techniques that may have been previously encountered in a more abstract context. The endpoint of the book will be Maxwell's equations for a vacuum, expressed as vector equations.The book will include many opportunities for revision and consolidation of the important basic concepts and techniques, and should provide a sound foundation on which to build your knowledge of this subject.It is recommended that you purchase DVD1 (order code SMT359/DVDR01) with this book.Network Licences:Multi-user licences are not available for our DVD-ROMs. However, multiple copies of the same DVD-ROM may be bought at a discounted price. Please contact OUW Ltd for details.

## Introduction To Optical Waveguide Analysis

**Author :**Kenji Kawano

**ISBN :**0471465208

**Genre :**Science

**File Size :**40. 48 MB

**Format :**PDF, ePub

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A complete survey of modern design and analysis techniques for optical waveguides This volume thoroughly details modern and widely accepted methods for designing the optical waveguides used in telecommunications systems. It offers a straightforward presentation of the sophisticated techniques used in waveguide analysis and enables a quick grasp of modern numerical methods with easy mathematics. The book is intended to guide the reader to a comprehensive understanding of optical waveguide analysis through self-study. This comprehensive presentation includes: * An extensive and exhaustive list of mathematical manipulations * Detailed explanations of common design methods: finite element method (FEM), finite difference method (FDM), beam propagation method (BPM), and finite difference time-domain method (FD-TDM) * Explanations for numerical solutions of optical waveguide problems with sophisticated techniques used in modern computer-aided design (CAD) software * Solutions to Maxwell's equations and the Schrodinger equation The authors provide excellent self-study material for practitioners, researchers, and students, while also presenting detailed mathematical manipulations that can be easily understood by readers who are unfamiliar with them. Introduction to Optical Waveguide Analysis presents modern design methods in a comprehensive and easy-to-understand format.

## Electricity And Magnetism For Mathematicians

**Author :**Thomas A. Garrity

**ISBN :**9781107078208

**Genre :**Mathematics

**File Size :**78. 86 MB

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

## Time Domain Finite Element Methods For Maxwell S Equations In Metamaterials

**Author :**Jichun Li

**ISBN :**9783642337895

**Genre :**Computers

**File Size :**80. 83 MB

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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.

## The Mathematical Theory Of Time Harmonic Maxwell S Equations

**Author :**Andreas Kirsch

**ISBN :**9783319110868

**Genre :**Mathematics

**File Size :**61. 45 MB

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This book gives a concise introduction to the basic techniques needed for the theoretical analysis of the Maxwell Equations, and filters in an elegant way the essential parts, e.g., concerning the various function spaces needed to rigorously investigate the boundary integral equations and variational equations. The book arose from lectures taught by the authors over many years and can be helpful in designing graduate courses for mathematically orientated students on electromagnetic wave propagation problems. The students should have some knowledge on vector analysis (curves, surfaces, divergence theorem) and functional analysis (normed spaces, Hilbert spaces, linear and bounded operators, dual space). Written in an accessible manner, topics are first approached with simpler scale Helmholtz Equations before turning to Maxwell Equations. There are examples and exercises throughout the book. It will be useful for graduate students and researchers in applied mathematics and engineers working in the theoretical approach to electromagnetic wave propagation.

## Differential Forms On Electromagnetic Networks

**Author :**N. V. Balasubramanian

**ISBN :**9781483103242

**Genre :**Technology & Engineering

**File Size :**29. 84 MB

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Differential Forms on Electromagnetic Networks deals with the use of combinatorial techniques in electrical circuit, machine analysis, and the relationship between circuit quantities and electromagnetic fields. The monograph is also an introduction to the organization of field equations by the methods of differential forms. The book covers topics such as algebraic structural relations in an electric circuit; mesh and node-pair analysis; exterior differential structures; generalized Stoke's theorem and tensor analysis; and Maxwell's electromagnetic equation. Also covered in the book are the applications for the field network model; oscillatory behavior of electric machines; and the rotation tensor in machine differential structures. The text is recommended for engineering students who would like to be familiarized with electromagnetic networks and its related topics.

## A Student S Guide To Vectors And Tensors

**Author :**Daniel A. Fleisch

**ISBN :**9781139503945

**Genre :**Science

**File Size :**58. 90 MB

**Format :**PDF, Kindle

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Vectors and tensors are among the most powerful problem-solving tools available, with applications ranging from mechanics and electromagnetics to general relativity. Understanding the nature and application of vectors and tensors is critically important to students of physics and engineering. Adopting the same approach used in his highly popular A Student's Guide to Maxwell's Equations, Fleisch explains vectors and tensors in plain language. Written for undergraduate and beginning graduate students, the book provides a thorough grounding in vectors and vector calculus before transitioning through contra and covariant components to tensors and their applications. Matrices and their algebra are reviewed on the book's supporting website, which also features interactive solutions to every problem in the text where students can work through a series of hints or choose to see the entire solution at once. Audio podcasts give students the opportunity to hear important concepts in the book explained by the author.