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Topological Foundations Of Electromagnetism Second Edition
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Book Synopsis Topological Foundations Of Electromagnetism by : Terence William Barrett
Download or read book Topological Foundations Of Electromagnetism written by Terence William Barrett and published by World Scientific. This book was released on 2008-03-13 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological Foundations of Electromagnetism seeks a fundamental understanding of the dynamics of electromagnetism; and marshals the evidence that in certain precisely defined topological conditions, electromagnetic theory (Maxwell's theory) must be extended or generalized in order to provide an explanation and understanding of, until now, unusual electromagnetic phenomena. Key to this generalization is an understanding of the circumstances under which the so-called A potential fields have physical effects. Basic to the approach taken is that the topological composition of electromagnetic fields is the fundamental conditioner of the dynamics of these fields. The treatment of electromagnetism from, first, a topological perspective, continuing through group theory and gauge theory, to a differential calculus description is a major thread of the book. Suggestions for potential new technologies based on this new understanding and approach to conditional electromagnetism are also given.
Book Synopsis Topological Foundations Of Electromagnetism (Second Edition) by : Terence William Barrett
Download or read book Topological Foundations Of Electromagnetism (Second Edition) written by Terence William Barrett and published by World Scientific. This book was released on 2022-05-30 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aims of the book are: (1) to extend Maxwell theory to non-Abelian group forms; (2) to demonstrate that the foundations of electromagnetism are topological; (3) to show the multi-disciplinary nature of communications; (4) to demonstrate the effectiveness of modulated signals in penetrating media; (5) to demonstrate that geometric (Clifford) algebra is the appropriate algebra describing modulated signals.The book is important in indicating that the classical theory of electromagnetism, or Maxwell theory, can be developed to address situations and signals of differing symmetry form, and that different topological spaces require that development.
Book Synopsis Mathematical Foundations for Electromagnetic Theory by : Donald G. Dudley
Download or read book Mathematical Foundations for Electromagnetic Theory written by Donald G. Dudley and published by Oxford University Press, USA. This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Co-published with Oxford University Press. This highly technical and thought-provoking book stresses the development of mathematical foundations for the application of the electromagnetic model to problems of research and technology. Features include in-depth coverage of linear spaces, Green's functions, spectral expansions, electromagnetic source representations, and electromagnetic boundary value problems. This book will be of interest graduate-level students in engineering, electromagnetics, physics, and applied mathematics as well as to research engineers, physicists, and scientists.
Book Synopsis Electromagnetic Theory and Computation by : Paul W. Gross
Download or read book Electromagnetic Theory and Computation written by Paul W. Gross and published by Cambridge University Press. This book was released on 2004-06-14 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores the connection between algebraic structures in topology and computational methods for 3-dimensional electric and magnetic field computation. The connection between topology and electromagnetism has been known since the 19th century, but there has been little exposition of its relevance to computational methods in modern topological language. This book is an effort to close that gap. It will be of interest to people working in finite element methods for electromagnetic computation and those who have an interest in numerical and industrial applications of algebraic topology.
Book Synopsis Advanced Electromagnetism: Foundations: Theory And Applications by : Terence William Barrett
Download or read book Advanced Electromagnetism: Foundations: Theory And Applications written by Terence William Barrett and published by World Scientific. This book was released on 1995-11-16 with total page 807 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Electromagnetism: Foundations, Theory and Applications treats what is conventionally called electromagnetism or Maxwell's theory within the context of gauge theory or Yang-Mills theory. A major theme of this book is that fields are not stand-alone entities but are defined by their boundary conditions. The book has practical relevance to efficient antenna design, the understanding of forces and stresses in high energy pulses, ring laser gyros, high speed computer logic elements, efficient transfer of power, parametric conversion, and many other devices and systems. Conventional electromagnetism is shown to be an underdeveloped, rather than a completely developed, field of endeavor, with major challenges in development still to be met.
Book Synopsis Mathematical Foundations of Computational Electromagnetism by : Franck Assous
Download or read book Mathematical Foundations of Computational Electromagnetism written by Franck Assous and published by Springer. This book was released on 2018-06-09 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The focus then moves to well‐posedness results. The relevant function spaces are introduced, with an emphasis on boundary and topological conditions. General variational frameworks are defined for static and quasi-static problems, time-harmonic problems (including fixed frequency or Helmholtz-like problems and unknown frequency or eigenvalue problems), and time-dependent problems, with or without constraints. They are then applied to prove the well-posedness of Maxwell’s equations and their simplified models, in the various settings described above. The book is completed with a discussion of dimensionally reduced models in prismatic and axisymmetric geometries, and a survey of existence and uniqueness results for the Vlasov-Poisson, Vlasov-Maxwell and MHD equations. The book addresses mainly researchers in applied mathematics who work on Maxwell’s equations. However, it can be used for master or doctorate-level courses on mathematical electromagnetism as it requires only a bachelor-level knowledge of analysis.
Book Synopsis FUNDAMENTALS OF ELECTROMAGNETIC THEORY, Second Edition by : DASH, SAROJ K.
Download or read book FUNDAMENTALS OF ELECTROMAGNETIC THEORY, Second Edition written by DASH, SAROJ K. and published by PHI Learning Pvt. Ltd.. This book was released on 2011-01-01 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Second Edition of this book, while retaining the contents and style of the first edition, continues to fulfil the require-ments of the course curriculum in Electromagnetic Theory for the undergraduate students of electrical engineering, electronics and telecommunication engineering, and electro-nics and communication engineering. The text covers the modules of the syllabus corresponding to vectors and fields, Maxwell’s equations in integral form and differential form, wave propagation in free space and material media, transmission line analysis and waveguide principles. It explains physical and mathematical aspects of the highly complicated electromagnetic theory in a very simple and lucid manner. This new edition includes : • Two separate chapters on Transmission Line and Waveguide • A thoroughly revised chapter on Plane Wave Propagation • Several new solved and unsolved numerical problems asked in various universities’ examinations
Book Synopsis Classical Electromagnetism by : Jerrold Franklin
Download or read book Classical Electromagnetism written by Jerrold Franklin and published by Addison-Wesley Professional. This book was released on 2005 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classical Electromagnetism is built for readers who want to learn about the theory of electricity and magnetism. The text starts in historical order, moving through Coulomb's law and the magnetic law of Biot-Savart to Maxwell's unification of physics. Author Jerrold Franklin carefully develops each stage of the theory without oversimplifying. Throughout, he demonstrates how key principles can be defined on a more fundamental basis to enhance reader understanding. The mathematics and physics are unified so that readers learn the material in the context of real physics applications. Foundations of Electrostatics, Further Development of Electrostatics, Methods of Solution in Electrostatics, Spherical and Cylindrical Coordinates, Green's Functions, Electrostatics in Matter, Magnetostatics, Magnetization and Ferromagnetism, Time Varying Fields, Maxwell's Equations, Electromagnetic Plane Waves, Wave Guides and Cavities, Electromagnetic Radiation and Scattering, Special Relativity, The Electrodynamics of Moving Bodies For all readers interested in learning about the theory of electricity and magnetism.
Book Synopsis Trends in Electromagnetism by : Victor Barsan
Download or read book Trends in Electromagnetism written by Victor Barsan and published by BoD – Books on Demand. This book was released on 2012-03-23 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the branches of classical physics, electromagnetism is the domain which experiences the most spectacular development, both in its fundamental and practical aspects. The quantum corrections which generate non-linear terms of the standard Maxwell equations, their specific form in curved spaces, whose predictions can be confronted with the cosmic polarization rotation, or the topological model of electromagnetism, constructed with electromagnetic knots, are significant examples of recent theoretical developments. The similarities of the Sturm-Liouville problems in electromagnetism and quantum mechanics make possible deep analogies between the wave propagation in waveguides, ballistic electron movement in mesoscopic conductors and light propagation on optical fibers, facilitating a better understanding of these topics and fostering the transfer of techniques and results from one domain to another. Industrial applications, like magnetic refrigeration at room temperature or use of metamaterials for antenna couplers and covers, are of utmost practical interest. So, this book offers an interesting and useful reading for a broad category of specialists.
Book Synopsis Electromagnetic Theory and Computation by : Paul W. Gross
Download or read book Electromagnetic Theory and Computation written by Paul W. Gross and published by Cambridge University Press. This book was released on 2011-04-28 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents. Appendices bridge the gap between the material presented and standard expositions of differential forms, Hodge decompositions, and tools for realizing representatives of homology classes as embedded manifolds.
Book Synopsis Foundations of Electromagnetic Theory by : John R. Reitz
Download or read book Foundations of Electromagnetic Theory written by John R. Reitz and published by . This book was released on 1979 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Electromagnetic Theory by : John R. Reitz
Download or read book Foundations of Electromagnetic Theory written by John R. Reitz and published by Pearson Education India. This book was released on 2009-09 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collective Electrodynamics by : Carver Mead
Download or read book Collective Electrodynamics written by Carver Mead and published by MIT Press (MA). This book was released on 2000 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Carver Mead offers a radically new approach to the standard problems of electromagnetic theory.
Book Synopsis Electromagnetic Theory and Computation by : Paul Wolfgang Gross
Download or read book Electromagnetic Theory and Computation written by Paul Wolfgang Gross and published by . This book was released on 2004 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although topology was recognized by Gauss and Maxwell to play a pivotal role in the formulation of electromagnetic boundary value problems, it is a largely unexploited tool for field computation. The development of algebraic topology since Maxwell provides a framework for linking data structures, algorithms, and computation to topological aspects of three-dimensional electromagnetic boundary value problems. This book, first published in 2004, attempts to expose the link between Maxwell and a modern approach to algorithms. The first chapters lay out the relevant facts about homology and cohomology, stressing their interpretations in electromagnetism. These topological structures are subsequently tied to variational formulations in electromagnetics, the finite element method, algorithms, and certain aspects of numerical linear algebra. A recurring theme is the formulation of and algorithms for the problem of making branch cuts for computing magnetic scalar potentials and eddy currents.
Book Synopsis Fundamentals of Electromagnetism by : Arturo Lopez Davalos
Download or read book Fundamentals of Electromagnetism written by Arturo Lopez Davalos and published by Springer. This book was released on 2014-04-13 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is a revised and enlarged version of notes for a one-semester course on electromagnetism. It covers the theory of electromagnetic phenomena in vacuum and in material media. The book includes a CD-ROM with didactic software, to solve boundary value problems in electrostatics and magnetostatics.
Book Synopsis Electromagnetism & Geometry by : Si Li (Mathematician)
Download or read book Electromagnetism & Geometry written by Si Li (Mathematician) and published by . This book was released on 2023 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is based upon a series of lecture notes written by the author for his courses in mathematical physics at Qiuzhen College of Tsinghua University. The essence of this book is to explain both the physical and the geometric aspects of modern electromagnetism, as well as the bridge between these two viewpoints. The first part of this book explains key ingredients of electromagnetic fields and their classical dynamics. The second part explains Maxwell theory in terms of the geometry of U (1) fiber bundle. We use the language of differential forms throughout this book to illustrate the geometric and topological natures of Maxwell’s equations." -- back cover.
Book Synopsis Foundations of Electromagnetic Theory by : John R. Reitz
Download or read book Foundations of Electromagnetic Theory written by John R. Reitz and published by . This book was released on 1960 with total page 554 pages. Available in PDF, EPUB and Kindle. Book excerpt:
