Field Theory Concepts: Electromagnetic Fields. Maxwell's Equations grad, curl, d

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Field Theory Concepts

by Adolf J. Schwab

"Field Theory Concepts" is a new approach to the teachingand understanding of field theory. Exploiting formal analo-gies of electric, magnetic, and conduction fields andintroducing generic concepts results in a transparentlystructured electomagnetic field theory.

FORMAT Paperback LANGUAGE English CONDITION Brand New

Publisher Description

"Field Theory Concepts" is a new approach to the teachingand understanding of field theory. Exploiting formal analo-gies of electric, magnetic, and conduction fields andintroducing generic concepts results in a transparentlystructured electomagnetic field theory. Highly illustrativeterms alloweasyaccess to the concepts of curl and div whichgenerally are conceptually demanding. Emphasis is placed onthe static, quasistatic and dynamic nature of fields.Eventually, numerical field calculation algorithms, e.g.Finite Element method and Monte Carlo method, are presentedin a concise yet illustrative manner.

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Author Biography

<P>Professor Dr. Adolf Josef Schwab, geboren am 20. Juni 1937 in Mannheim, studierte Elektrotechnik an der Universit??t Karlsruhe. Seinem Aufenthalt als Postdoctoral Fellow am MIT in den USA folgte 1972 die Habilitation. 1976 erhielt er einen Ruf als Professor an die Universit??t Darmstadt, 1978 an die Universit??t Dortmund. Seit 1980 ist er Ordentlicher Professor an der Universit??t Karlsruhe. Von 1989 bis 1993 war Professor Schwab Leiter des ABB Konzernforschungszentrums in Heidelberg.</P> <P>Professor Schwab ist Ehrendoktor der Universit??ten St. Petersburg und Tomsk&n

Table of Contents

1 Elementary Concepts of Electric and Magnetic Fields.- 1.1 Flux and Flux Density of Vector Fields.- 1.2 Equations of Matter — Constitutive Relations.- 2 Types of Vector Fields.- 2.1 Electric Source Fields.- 2.2 Electric and Magnetic Vortex Fields.- 2.3 General Vector Fields.- 3 Field Theory Equations.- 3.1 Integral Form of Maxwells Equations.- 3.1.1 Faraday's Induction Law in Integral Form Vortex Strength of Electric Vortex Fields.- 3.1.2 Ampere's Circuital Law in Integral Form Vortex Strength of Magnetic Vortex Fields.- 3.1.3 Gauss's Law of the Electric Field Source Strength of Electric Fields.- 3.1.4 Gauss's Law of the Magnetic Field Source Strength of Magnetic Fields.- 3.2 Law of Continuity in Integral Form Source Strength of Current Density Fields.- 3.3 Differential Form of Maxwell's Equations.- 3.3.1 Faradays Induction Law in Differential Form Vortex Density of Electric Vortex Fields.- 3.3.2 Ampere's Circuital Law in Differential Form Vortex Density of Magnetic Vortex Fields.- 3.3.3 Divergence of Electric Fields Source Density of Electric Fields.- 3.3.4 Divergence of Magnetic Fields Source Density of Magnetic Fields.- 3.4 Law of Continuity in Differential Form Source Density of Current Density Fields.- 3.5 Maxwell's Equations in Complex Notation.- 3.6 Integral Theorems of Stokes and Gauss.- 3.7 Network Model of Induction.- 4 Gradient, Potential, Potential Function.- 4.1 Gradient of a Scalar Field.- 4.2 Potential and Potential Function of Static Electric Fields.- 4.3 Development of the Potential Function from a Given Charge Distribution.- 4.3.1 Potential Function of a Line Charge.- 4.3.2 Potential Function of a General Charge Distribution.- 4.4 Potential Equations.- 4.4.1 Potential Equations for Fields without Space Charges.- 4.4.2 Potential Equations for Fields with Space Charges.- 4.5 Electric Vector Potential.- 4.6 Vector Potential of the Conduction Field.- 5 Potential and Potential Function of Magnetostatic Fields.- 5.1 Magnetic Scalar Potential.- 5.2 Potential Equation for Magnetic Scalar Potentials.- 5.3 Magnetic Vector Potential.- 5.4 Potential Equation for Magnetic Vector Potentials.- 6 Classification of Electric and Magnetic Fields.- 6.1 Stationary Fields.- 6.1.1 Electrostatic Fields.- 6.1.2 Magnetostatic Fields.- 6.1.3 Static Conduction Field (DC Current-Conduction Field).- 6.2 Quasi-Stationary Fields (Steady-State) Fields.- 6.2.1 Quasi-Static Electric Fields.- 6.2.2 Quasi-Static Magnetic Fields.- 6.2.3 Quasi-Static Conduction Fields.- 6.2.4 Conduction Fields with Skin Effect.- 6.3 Nonstationary Fields, Electromagnetic Waves.- 6.3.1 Wave Equation.- 6.3.2 Retarded Potentials.- 6.3.3 Hertz Potentials.- 6.3.4 Energy Density in Electric and Magnetic Fields, Energy Flow Density in Electromagnetic Waves.- 7 Transmission-Line Equations.- 8 Typical Differential Equations of Electrodynamics and Mathematical Physics.- 8.1 Generalized Telegraphist's Equation.- 8.2 Telegraphist's Equation with a, b>0; c=0.- 8.3 Telegraphist's Equation with a>0; b=0; c=0.- 8.4 Telegraphist's Equation with b>0; a=0; c=0.- 8.5 Helmholtz Equation.- 8.6 Schroedinger Equation.- 8.7 Lorentz's Invariance of Maxwell's Equations.- 9 Numerical Calculation of Potential Fields.- 9.1 Finite-Element Method.- 9.2 Finite-Difference Method.- 9.3 Charge Simulation Method.- 9.4 Monte Carlo Method.- 9.5 General Remarks on Numerical Field Calculation.- A1 Units.- A2 Scalar and Vector Integrals.- A3 Vector Operations in Special Coordinate Systems.- A5 Complex Notation of Harmonic Quantities.- Literature.

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Long Description

"Field Theory Concepts" is a new approach to the teachingand understanding of field theory. Exploiting formal analo-gies of electric, magnetic, and conduction fields andintroducing generic concepts results in a transparentlystructured electomagnetic field theory. Highly illustrativeterms alloweasyaccess to the concepts of curl and div whichgenerally are conceptually demanding. Emphasis is placed onthe static, quasistatic and dynamic nature of fields.Eventually, numerical field calculation algorithms, e.g.Finite Element method and Monte Carlo method, are presentedin a concise yet illustrative manner.

Details ISBN3642489435 Author Adolf J. Schwab Short Title FIELD THEORY CONCEPTS SOFTCOVE Language English ISBN-10 3642489435 ISBN-13 9783642489433 Media Book Format Paperback DEWEY 530.14 Year 2012 Publication Date 2012-04-14 Imprint Springer-Verlag Berlin and Heidelberg GmbH & Co. K Place of Publication Berlin Country of Publication Germany Pages 218 Illustrations XVI, 218 p. DOI 10.1007/978-3-642-48941-9 Publisher Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Edition Description Softcover reprint of the original 1st ed. 1988 Subtitle Electromagnetic Fields. Maxwell's Equations grad, curl, div. etc. Finite-Element Method. Finite-Difference Method. Charge Simulation Method. Monte Carlo Method Alternative 9783540188933 Audience Professional & Vocational

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  • Condition: New
  • ISBN-13: 9783642489433
  • Book Title: Field Theory Concepts
  • ISBN: 9783642489433
  • Subject Area: Electrical Engineering
  • Publication Name: Field Theory Concepts: Electromagnetic Fields. Maxwell's Equations grad, curl, div. etc. Finite-Element Method. Finite-Difference Method. Charge Simulation Method. Monte Carlo Method
  • Publisher: Springer-Verlag Berlin AND Heidelberg Gmbh & Co. KG
  • Subject: Mathematics
  • Publication Year: 2012
  • Type: Textbook
  • Format: Paperback
  • Language: English
  • Item Height: 244mm
  • Author: Adolf J. Schwab
  • Item Width: 170mm
  • Item Weight: 415g
  • Number of Pages: 218 Pages

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