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Maxwells Equations
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Book Synopsis A Student's Guide to Maxwell's Equations by : Daniel Fleisch
Download or read book A Student's Guide to Maxwell's Equations written by Daniel Fleisch and published by Cambridge University Press. This book was released on 2008-01-10 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Maxwell's Equations and the Principles of Electromagnetism by : Richard Fitzpatrick
Download or read book Maxwell's Equations and the Principles of Electromagnetism written by Richard Fitzpatrick and published by Jones & Bartlett Publishers. This book was released on 2008 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: Designed for upper division electro- magnetism courses or as a reference for electrical engineers & scientists, this is an introduction to Maxwell's equations & electromagnetic waves. Further discusses electrostatics, magnetostatics, induction, etc., in the light of those equations. Discussion of vector field theory included.
Book Synopsis Maxwell’s Equations in Periodic Structures by : Gang Bao
Download or read book Maxwell’s Equations in Periodic Structures written by Gang Bao and published by Springer Nature. This book was released on 2021-11-22 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Maxwell's Equations by : Paul G. Huray
Download or read book Maxwell's Equations written by Paul G. Huray and published by John Wiley & Sons. This book was released on 2011-11-04 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Symmetries of Maxwell’s Equations by : W.I. Fushchich
Download or read book Symmetries of Maxwell’s Equations written by W.I. Fushchich and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis No-Nonsense Electrodynamics by : Jakob Schwichtenberg
Download or read book No-Nonsense Electrodynamics written by Jakob Schwichtenberg and published by No-Nonsense Books. This book was released on 2018-12-06 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning Electrodynamics doesn’t have to be boring What if there was a way to learn Electrodynamics without all the usual fluff? What if there were a book that allowed you to see the whole picture and not just tiny parts of it? Thoughts like this are the reason that No-Nonsense Electrodynamics now exists. What will you learn from this book? Get to know all fundamental electrodynamical concepts —Grasp why we can describe electromagnetism using the electric and magnetic field, the electromagnetic field tensor and the electromagnetic potential and how these concepts are connected.Learn to describe Electrodynamics mathematically — Understand the meaning and origin of the most important equations: Maxwell’s equations & the Lorentz force law.Master the most important electrodynamical systems — read step-by-step calculations and understand the general algorithm we use to describe them.Get an understanding you can be proud of — Learn why Special Relativity owes its origins to Electrodynamics and how we can understand it as a gauge theory. No-Nonsense Electrodynamics is the most student-friendly book on Electrodynamics ever written. Here’s why. First of all, it's is nothing like a formal university lecture. Instead, it’s like a casual conservation with a more experienced student. This also means that nothing is assumed to be “obvious” or “easy to see”.Each chapter, each section, and each page focusses solely on the goal to help you understand. Nothing is introduced without a thorough motivation and it is always clear where each formula comes from.The book contains no fluff since unnecessary content quickly leads to confusion. Instead, it ruthlessly focusses on the fundamentals and makes sure you’ll understand them in detail. The primary focus on the readers’ needs is also visible in dozens of small features that you won’t find in any other textbook In total, the book contains more than 100 illustrations that help you understand the most important concepts visually. In each chapter, you’ll find fully annotated equations and calculations are done carefully step-by-step. This makes it much easier to understand what’s going on in.Whenever a concept is used which was already introduced previously, there is a short sidenote that reminds you where it was first introduced and often recites the main points. In addition, there are summaries at the beginning of each chapter that make sure you won’t get lost.
Book Synopsis The Mathematical Theory of Time-Harmonic Maxwell's Equations by : Andreas Kirsch
Download or read book The Mathematical Theory of Time-Harmonic Maxwell's Equations written by Andreas Kirsch and published by Springer. This book was released on 2014-11-20 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Electromagnetism by : Tamer Becherrawy
Download or read book Electromagnetism written by Tamer Becherrawy and published by John Wiley & Sons. This book was released on 2013-05-21 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with electromagnetic theory and its applications at the level of a senior-level undergraduate course for science and engineering. The basic concepts and mathematical analysis are clearly developed and the important applications are analyzed. Each chapter contains numerous problems ranging in difficulty from simple applications to challenging. The answers for the problems are given at the end of the book. Some chapters which open doors to more advanced topics, such as wave theory, special relativity, emission of radiation by charges and antennas, are included. The material of this book allows flexibility in the choice of the topics covered. Knowledge of basic calculus (vectors, differential equations and integration) and general physics is assumed. The required mathematical techniques are gradually introduced. After a detailed revision of time-independent phenomena in electrostatics and magnetism in vacuum, the electric and magnetic properties of matter are discussed. Induction, Maxwell equations and electromagnetic waves, their reflection, refraction, interference and diffraction are also studied in some detail. Four additional topics are introduced: guided waves, relativistic electrodynamics, particles in an electromagnetic field and emission of radiation. A useful appendix on mathematics, units and physical constants is included. Contents 1. Prologue. 2. Electrostatics in Vacuum. 3. Conductors and Currents. 4. Dielectrics. 5. Special Techniques and Approximation Methods. 6. Magnetic Field in Vacuum. 7. Magnetism in Matter. 8. Induction. 9. Maxwell’s Equations. 10. Electromagnetic Waves. 11. Reflection, Interference, Diffraction and Diffusion. 12. Guided Waves. 13. Special Relativity and Electrodynamics. 14. Motion of Charged Particles in an Electromagnetic Field. 15. Emission of Radiation.
Book Synopsis Finite Element Methods for Maxwell's Equations by : Peter Monk
Download or read book Finite Element Methods for Maxwell's Equations written by Peter Monk and published by Clarendon Press. This book was released on 2003-04-17 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the middle of the last century, computing power has increased sufficiently that the direct numerical approximation of Maxwell's equations is now an increasingly important tool in science and engineering. Parallel to the increasing use of numerical methods in computational electromagnetism there has also been considerable progress in the mathematical understanding of the properties of Maxwell's equations relevant to numerical analysis. The aim of this book is to provide an up to date and sound theoretical foundation for finite element methods in computational electromagnetism. The emphasis is on finite element methods for scattering problems that involve the solution of Maxwell's equations on infinite domains. Suitable variational formulations are developed and justified mathematically. An error analysis of edge finite element methods that are particularly well suited to Maxwell's equations is the main focus of the book. The methods are justified for Lipschitz polyhedral domains that can cause strong singularities in the solution. The book finishes with a short introduction to inverse problems in electromagnetism.
Book Synopsis Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials by : Jichun Li
Download or read book Time-Domain Finite Element Methods for Maxwell's Equations in Metamaterials written by Jichun Li and published by Springer Science & Business Media. This book was released on 2012-12-15 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis University Physics by : Samuel J. Ling
Download or read book University Physics written by Samuel J. Ling and published by . This book was released on 2017-12-19 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics is designed for the two- or three-semester calculus-based physics course. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Coverage and Scope Our University Physics textbook adheres to the scope and sequence of most two- and three-semester physics courses nationwide. We have worked to make physics interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of this textbook has been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications. The goal of each section is to enable students not just to recognize concepts, but to work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from science educators dedicated to the project. VOLUME II Unit 1: Thermodynamics Chapter 1: Temperature and Heat Chapter 2: The Kinetic Theory of Gases Chapter 3: The First Law of Thermodynamics Chapter 4: The Second Law of Thermodynamics Unit 2: Electricity and Magnetism Chapter 5: Electric Charges and Fields Chapter 6: Gauss's Law Chapter 7: Electric Potential Chapter 8: Capacitance Chapter 9: Current and Resistance Chapter 10: Direct-Current Circuits Chapter 11: Magnetic Forces and Fields Chapter 12: Sources of Magnetic Fields Chapter 13: Electromagnetic Induction Chapter 14: Inductance Chapter 15: Alternating-Current Circuits Chapter 16: Electromagnetic Waves
Book Synopsis Eddy Current Approximation of Maxwell Equations by : Ana Alonso Rodriguez
Download or read book Eddy Current Approximation of Maxwell Equations written by Ana Alonso Rodriguez and published by Springer Science & Business Media. This book was released on 2010-11-22 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Introduction to Electromagnetic Waves with Maxwell's Equations by : Ozgur Ergul
Download or read book Introduction to Electromagnetic Waves with Maxwell's Equations written by Ozgur Ergul and published by John Wiley & Sons. This book was released on 2021-09-14 with total page 596 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover an innovative and fresh approach to teaching classical electromagnetics at a foundational level Introduction to Electromagnetic Waves with Maxwell’s Equations delivers an accessible and practical approach to teaching the wellknown topics all electromagnetics instructors must include in their syllabus. Based on the author’s decades of experience teaching the subject, the book is carefully tuned to be relevant to an audience of engineering students who have already been exposed to the basic curricula of linear algebra and multivariate calculus. Forming the backbone of the book, Maxwell’s equations are developed step-by-step in consecutive chapters, while related electromagnetic phenomena are discussed simultaneously. The author presents accompanying mathematical tools alongside the material provided in the book to assist students with retention and comprehension. The book contains over 100 solved problems and examples with stepwise solutions offered alongside them. An accompanying website provides readers with additional problems and solutions. Readers will also benefit from the inclusion of: A thorough introduction to preliminary concepts in the field, including scalar and vector fields, cartesian coordinate systems, basic vector operations, orthogonal coordinate systems, and electrostatics, magnetostatics, and electromagnetics An exploration of Gauss’ Law, including integral forms, differential forms, and boundary conditions A discussion of Ampere’s Law, including integral and differential forms and Stoke’s Theorem An examination of Faraday’s Law, including integral and differential forms and the Lorentz Force Law Perfect for third-and fourth-year undergraduate students in electrical engineering, mechanical engineering, applied maths, physics, and computer science, Introduction to Electromagnetic Waves with Maxwell’s Equations will also earn a place in the libraries of graduate and postgraduate students in any STEM program with applications in electromagnetics.
Book Synopsis Finite Element Methods for Maxwell's Equations by : Peter Monk
Download or read book Finite Element Methods for Maxwell's Equations written by Peter Monk and published by Oxford University Press. This book was released on 2003-04-17 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Finite Element Methods For Maxwell's Equations is the first book to present the use of finite elements to analyse Maxwell's equations. This book is part of the Numerical Analysis and Scientific Computation Series.
Book Synopsis Electricity and Magnetism for Mathematicians by : Thomas A. Garrity
Download or read book Electricity and Magnetism for Mathematicians written by Thomas A. Garrity and published by Cambridge University Press. This book was released on 2015-01-19 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: Maxwell's equations have led to many important mathematical discoveries. This text introduces mathematics students to some of their wonders.
Book Synopsis Maxwell's Equations of Electrodynamics by : David Warren Ball
Download or read book Maxwell's Equations of Electrodynamics written by David Warren Ball and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides a concise yet complete discussion of Maxwell's four equations of electrodynamics - the fundamental theory of electricity, magnetism, and light. Written for a general audience, it guides readers step-by-step through the vector calculus and development of each equation. Pictures and diagrams illustrate what the equations mean in basic terms.
Book Synopsis Maxwell's Equations and Their Consequences by : B. H. Chirgwin
Download or read book Maxwell's Equations and Their Consequences written by B. H. Chirgwin and published by Elsevier. This book was released on 2013-10-22 with total page 171 pages. Available in PDF, EPUB and Kindle. Book excerpt: Elementary Electromagnetic Theory Volume 3: Maxwell’s Equations and their Consequences is the third of three volumes that intend to cover electromagnetism and its potential theory. The third volume considers the implications of Maxwell's equations, such as electromagnetic radiation in simple cases, and its relation between Maxwell's equation and the Lorenz transformation. Included in this volume are chapters 11-14, which contain an in-depth discussion of the following topics: • Electromagnetic Waves • The Lorentz Invariance of Maxwell's Equation • Radiation • Motion of Charged Particles Intended to serve as an introduction to electromagnetism and potential theory, the book is for second, third, and fourth year undergraduates of physics and engineering, as they are included in their course of study. Do note that the authors assume that the readers are conversant with the basic ideas of vector analysis, including vector integral theorems.
