Differential Forms on Electromagnetic Networks PDF Download

Author: N. V. Balasubramanian
Publisher: Elsevier
ISBN: 1483103242
Category : Technology & Engineering
Languages : en
Pages : 201

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Book Description
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.

Author: Ismo V. Lindell
Publisher: John Wiley & Sons
ISBN: 9780471648017
Category : Science
Languages : en
Pages : 276

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Book Description
An introduction to multivectors, dyadics, and differential forms for electrical engineers While physicists have long applied differential forms to various areas of theoretical analysis, dyadic algebra is also the most natural language for expressing electromagnetic phenomena mathematically. George Deschamps pioneered the application of differential forms to electrical engineering but never completed his work. Now, Ismo V. Lindell, an internationally recognized authority on differential forms, provides a clear and practical introduction to replacing classical Gibbsian vector calculus with the mathematical formalism of differential forms. In Differential Forms in Electromagnetics, Lindell simplifies the notation and adds memory aids in order to ease the reader's leap from Gibbsian analysis to differential forms, and provides the algebraic tools corresponding to the dyadics of Gibbsian analysis that have long been missing from the formalism. He introduces the reader to basic EM theory and wave equations for the electromagnetic two-forms, discusses the derivation of useful identities, and explains novel ways of treating problems in general linear (bi-anisotropic) media. Clearly written and devoid of unnecessary mathematical jargon, Differential Forms in Electromagnetics helps engineers master an area of intense interest for anyone involved in research on metamaterials.

Author: Paul W. Gross
Publisher: Cambridge University Press
ISBN: 9780521801607
Category : Mathematics
Languages : en
Pages : 296

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Book Description
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.

Author: Edward F. Kuester
Publisher: CRC Press
ISBN: 1498730302
Category : Technology & Engineering
Languages : en
Pages : 266

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Book Description
Electromagnetic Boundary Problems introduces the formulation and solution of Maxwell's equations describing electromagnetism. Based on a one-semester graduate-level course taught by the authors, the text covers material parameters, equivalence principles, field and source (stream) potentials, and uniqueness, as well as:Provides analytical solutions

Author: Alvin Wexler
Publisher: Elsevier
ISBN: 1483188051
Category : Technology & Engineering
Languages : en
Pages : 723

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Book Description
Large Engineering Systems documents the proceedings of the International Symposium held at the University of Manitoba, Canada on August 9-12, 1976. This book compiles papers on the technology of large engineering systems. The topics discussed include the analysis of an automobile body by finite element method; finite-element solution of boundary integral equations; optimum design of stiffened plate girders; and tuning of miniaturized analog hybrid circuits. The sparsity in large systems and trans-shipment problems; finite difference method with graded lattices; Kron's multidimensional electromagnetic networks; and analyses of large systems are also deliberated. This text likewise covers the transient phenomena in large electrical power systems; modeling for regional electric power supply system; and efficient method for reliability evaluation of large-scale systems. This publication is a good source for engineers who intend to acquire knowledge on large-scale engineering systems.

Author: Gaetano Vilasi
Publisher: World Scientific
ISBN: 9789812386311
Category : Mathematics
Languages : en
Pages : 460

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Book Description
This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordinate language and in the modern language of differential geometry. It also presents powerful mathematical methods of theoretical physics, especially in gauge theories and general relativity. As a monograph, the book deals with the advanced research topic of completely integrable dynamics, with both finitely and infinitely many degrees of freedom, including geometrical structures of solitonic wave equations. Contents: Analytical Mechanics: The Lagrangian Coordinates; Hamiltonian Systems; Transformation Theory; The Integration Methods; Basic Ideas of Differential Geometry: Manifolds and Tangent Spaces; Differential Forms; Integration Theory; Lie Groups and Lie Algebras; Geometry and Physics: Symplectic Manifolds and Hamiltonian Systems; The Orbits Method; Classical Electrodynamics; Integrable Field Theories: KdV Equation; General Structures; Meaning and Existence of Recursion Operators; Miscellanea; Integrability of Fermionic Dynamics. Readership: Physicists and mathematicians.

Author: Sio-Iong Ao
Publisher: CRC Press
ISBN: 1317646304
Category : Computers
Languages : en
Pages : 642

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Book Description
Two large international conferences on Advances in Engineering Sciences were held in Hong Kong, March 13-15, 2013, under the International MultiConference of Engineers and Computer Scientists (IMECS 2013), and in London, U.K., 3-5 July, 2013, under the World Congress on Engineering 2013 (WCE 2013) respectively. IMECS 2013 and WCE 2013 were organize

Author: Stefan Lindenmeier
Publisher: Springer Science & Business Media
ISBN: 3642183751
Category : Technology & Engineering
Languages : en
Pages : 378

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Book Description
This volume provides a discussion of the challenges and perspectives of electromagnetics and network theory and their microwave applications in all aspects. It collects the most interesting contribution of the symposium dedicated to Professor Peter Russer held in October 2009 in Munich.

Author: Paul A. Fishwick
Publisher: Springer Science & Business Media
ISBN: 1461390729
Category : Computers
Languages : en
Pages : 356

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Book Description
Recently there has been considerable interest in qualitative methods in simulation and mathematical model- ing. Qualitative Simulation Modeling and Analysis is the first book to thoroughly review fundamental concepts in the field of qualitative simulation. The book will appeal to readers in a variety of disciplines including researchers in simulation methodology, artificial intelligence and engineering. This book boldly attempts to bring together, for the first time, the qualitative techniques previously found only in hard-to-find journals dedicated to single disciplines. The book is written for scientists and engineers interested in improving their knowledge of simulation modeling. The "qualitative" nature of the book stresses concepts of invariance, uncertainty and graph-theoretic bases for modeling and analysis.

Author: Leopold B. Felsen
Publisher: Springer Science & Business Media
ISBN: 3540939466
Category : Technology & Engineering
Languages : en
Pages : 219

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Book Description
In this monograph, the authors propose a systematic and rigorous treatment of electromagnetic field representations in complex structures. The architecture suggested in this book accommodates use of different numerical methods as well as alternative Green's function representations in each of the subdomains resulting from a partitioning of the overall problem. The subdomains are regions of space where electromagnetic energy is stored and are described in terms of equivalent circuit representations based either on lumped element circuits or on transmission lines. Connection networks connect the subcircuits representing the subdomains. The connection networks are lossless, don't store energy and represent the overall problem topology. This is similar to what is done in circuit theory and permits a phrasing of the solution of EM field problems in complex structures by Network-oriented methods.