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Differential Forms on Electromagnetic Networks

Author: N. V. Balasubramanian

Publisher: Elsevier

Published: 2018-01-18

Total Pages: 201

ISBN-13: 1483103242

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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.

Book Synopsis Differential Forms on Electromagnetic Networks by : N. V. Balasubramanian

Download or read book Differential Forms on Electromagnetic Networks written by N. V. Balasubramanian and published by Elsevier. This book was released on 2018-01-18 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Differential Forms in Electromagnetics

Author: Ismo V. Lindell

Publisher: John Wiley & Sons

Published: 2004-04-27

Total Pages: 276

ISBN-13: 9780471648017

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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.

Book Synopsis Differential Forms in Electromagnetics by : Ismo V. Lindell

Download or read book Differential Forms in Electromagnetics written by Ismo V. Lindell and published by John Wiley & Sons. This book was released on 2004-04-27 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Electromagnetic Theory and Computation

Author: Paul W. Gross

Publisher: Cambridge University Press

Published: 2004-06-14

Total Pages: 296

ISBN-13: 9780521801607

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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 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.

Electromagnetic Boundary Problems

Author: Edward F. Kuester

Publisher: CRC Press

Published: 2015-10-28

Total Pages: 266

ISBN-13: 1498730302

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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

Book Synopsis Electromagnetic Boundary Problems by : Edward F. Kuester

Download or read book Electromagnetic Boundary Problems written by Edward F. Kuester and published by CRC Press. This book was released on 2015-10-28 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Large Engineering Systems

Author: Alvin Wexler

Publisher: Elsevier

Published: 2014-05-18

Total Pages: 723

ISBN-13: 1483188051

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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.

Book Synopsis Large Engineering Systems by : Alvin Wexler

Download or read book Large Engineering Systems written by Alvin Wexler and published by Elsevier. This book was released on 2014-05-18 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Hamiltonian Dynamics

Author: Gaetano Vilasi

Publisher: World Scientific

Published: 2001

Total Pages: 460

ISBN-13: 9789812386311

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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.

Book Synopsis Hamiltonian Dynamics by : Gaetano Vilasi

Download or read book Hamiltonian Dynamics written by Gaetano Vilasi and published by World Scientific. This book was released on 2001 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

IAENG Transactions on Engineering Sciences

Author: Sio-Iong Ao

Publisher: CRC Press

Published: 2014-04-07

Total Pages: 642

ISBN-13: 1317646304

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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

Book Synopsis IAENG Transactions on Engineering Sciences by : Sio-Iong Ao

Download or read book IAENG Transactions on Engineering Sciences written by Sio-Iong Ao and published by CRC Press. This book was released on 2014-04-07 with total page 642 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Electromagnetics and Network Theory and their Microwave Technology Applications

Author: Stefan Lindenmeier

Publisher: Springer Science & Business Media

Published: 2011-07-13

Total Pages: 378

ISBN-13: 3642183751

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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.

Book Synopsis Electromagnetics and Network Theory and their Microwave Technology Applications by : Stefan Lindenmeier

Download or read book Electromagnetics and Network Theory and their Microwave Technology Applications written by Stefan Lindenmeier and published by Springer Science & Business Media. This book was released on 2011-07-13 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Qualitative Simulation Modeling and Analysis

Author: Paul A. Fishwick

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 356

ISBN-13: 1461390729

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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.

Book Synopsis Qualitative Simulation Modeling and Analysis by : Paul A. Fishwick

Download or read book Qualitative Simulation Modeling and Analysis written by Paul A. Fishwick and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Electromagnetic Field Computation by Network Methods

Author: Leopold B. Felsen

Publisher: Springer Science & Business Media

Published: 2009-03-05

Total Pages: 219

ISBN-13: 3540939466

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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.

Book Synopsis Electromagnetic Field Computation by Network Methods by : Leopold B. Felsen

Download or read book Electromagnetic Field Computation by Network Methods written by Leopold B. Felsen and published by Springer Science & Business Media. This book was released on 2009-03-05 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.