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Electromagnetic Theory: Third Edition (Volume III)
 
Electromagnetic Theory
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-3558-6
Product Code:  CHEL/237.3.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-6410-3
Product Code:  CHEL/237.3.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Hardcover ISBN:  978-0-8218-3558-6
eBook: ISBN:  978-1-4704-6410-3
Product Code:  CHEL/237.3.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $120.60 $91.35
Electromagnetic Theory
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Electromagnetic Theory: Third Edition (Volume III)
AMS Chelsea Publishing: An Imprint of the American Mathematical Society
Hardcover ISBN:  978-0-8218-3558-6
Product Code:  CHEL/237.3.H
List Price: $69.00
MAA Member Price: $62.10
AMS Member Price: $62.10
eBook ISBN:  978-1-4704-6410-3
Product Code:  CHEL/237.3.E
List Price: $65.00
MAA Member Price: $58.50
AMS Member Price: $58.50
Hardcover ISBN:  978-0-8218-3558-6
eBook ISBN:  978-1-4704-6410-3
Product Code:  CHEL/237.3.H.B
List Price: $134.00 $101.50
MAA Member Price: $120.60 $91.35
AMS Member Price: $120.60 $91.35
  • Book Details
     
     
    AMS Chelsea Publishing
    Volume: 2371971; 666 pp
    MSC: Primary 78; 01;

    Oliver Heaviside is probably best known to the majority of mathematicians for the Heaviside function in the theory of distribution. However, his main research activity concerned the theory of electricity and magnetism, the area in which he worked for most of his life. Results of this work are presented in his fundamental three-volume Electromagnetic Theory. The book brings together many of Heaviside's published and unpublished notes and short articles written between 1891 and 1912. One of Heaviside's main achievements was the recasting of Maxwell's theory of electromagnetism into the form currently used by everyone. He is also known for the invention of operational calculus and for major contributions to solving theoretical and practical problems of cable and radio communication. All this is collected in three volumes of Electromagnetic Theory. However, there is even more. For example, Chapter V in Volume II discusses the age of Earth, and several sections in Volume III talk about the teaching of mathematics in school.

    In addition to Heaviside's writings, two detailed surveys of Heaviside's work, by Sir Edmund Whittaker and by B. A. Behrend, are included in Volume I, and a long account of Heaviside's unpublished notes (which he presumably planned to publish as Volume IV of Electromagnetic Theory) is included in Volume III.

    This item is also available as part of a set:
  • Table of Contents
     
     
    • ELECTROMAGNETIC THEORY
    • PREFACE TO VOL III.
    • CONTENTS OF VOLUME III.
    • CHAPTER IX.
    • Adagio. Andante. Allegro moderato.
    • Simple Proof of Fundamental Property of a Plane Wave.
    • The General Plane Wave.
    • Generation of Waves by a Plane Source of Induction.
    • Generation of Waves by a Plane Source of Displacement.
    • Comparison of Electromagnetic with Aerial Waves.
    • Waves ending perpendicularly upon a Conductor. Conductionand Convection.
    • Oblique Reflection at a Conducting Surface with H tangential. Transformation to a Convection Problem.
    • Generation of a Pair of Inclined Plane Waves by Motion of anElectrified Strip; u>v. The applied force required.
    • Generation of a Pair of Inclined Plane Waves by a MovingSource of Induction, when u>v.
    • Two ways of Dividing a Pair of Crossing Pure Plane Waves tomake Convection Problems; u>v.
    • Slanting Plane Waves Generated by a Moving Magnet, and byan Electrified Strip moving normally to its Plane.
    • Generation of a Single Plane Wave by Motion of an ElectrifiedElectret. Also of Two Separated Plane Waves.
    • Theory of the Steady Rectilinear Motion of a Point-Charge or“ Electron” through the Ether when u<v and when u>v.
    • Construction of the Slanting Plane Waves generated by anElectrified Line by means of the Potential of an Electron.
    • The steady Rectilinear Motion in its own line of a Terminated Electrified Line when u>v, and interpretation of the Impure Conical Wave following an Electron.
    • The Wave from a Straight Line Source of Induction in a Non-conducting Dielectric.
    • The Wave from a Straight Line Source of Induction in a Conductor.
    • The Waves due to a Growing Plane Sheet ot Sources of Induction, and to Travelling Filaments, at any Speed.
    • Reversion to Divergent Plane Waves. Is the Ether Fixed ?
    • Drag of Matter upon Ether. Modified Circuital Equations, and the Wave-speed resulting.
    • Comparison of Wave-speeds in special Cases.
    • Effect of Modified Circuital Equations on Electrical Distributions.
    • Lorentz’s Equations of a Moving Dielectric.
    • The Wave-speed according to Lorentz.
    • Possible Equations for a Moving Magnetised Substance.
    • Larmor’s Equations for a Moving Body.
    • Theory of Moving Electrified Cones; u>v. The Moving Force upon them and upon an Electrified Line.
    • Theory of Electrified Line of Finite Length Moving Transversely; u>v.
    • Motion of Electrified Hyperboloids; u>v.
    • Growing Plane Source of Induction. Transition from u>v to u<v.
    • The Waves from a Plane Strip Source of Induction suddenly started.
    • Impressed Current along a Straight Axis. The Operational Solution in General.
    • Algebrisation of the Operational Solution in the case of Steady Motion of an Electron or of an Electrified Line; u>v.
    • Application of Simply Periodic Analysis. The Transition from u< to u>v.
    • Train of Simply Periodic Forced Waves along an Axis. The Work done and Waste of Energy.
    • Construction of the Simply Periodic Wave Train from the Two Electronic Steady Solutions.
    • Connection between Moving Electrification and Moving Electrisation. Transition from Cylindrical to Conical Wave.
    • Spherical Impulsive Wave due to sudden Displacement of an Electron.
    • Spherical Impulse due to sudden change of Velocity of an Electron. Rontgen Rays.
    • Wave Train due to Damped Vibrations.
    • Investigation of the Electromagnetic Field due to an Impressed Electric Current growing in a Straight Line. The Solutions in Sphere and Cone.
    • The electric field demands separate consideration, to follow The Ellipsoidal and Conical Equipotential Surfaces.
    • The Magnetic Force and Electric Current in the Cone and Sphere. The Spherical Current Sheet.
    • The Manner of Continuity of the Electric Current.
    • The Electric Force, and Time Integral of Magnetic Force.
    • The Distribution of Displacement.
    • Solutions for an Electron Jerked Away from a Stationary Compensating Charge. The Spherical Pulse.
    • Solutions for a Jerked Electron Without Compensating Charge.
    • Comparison of two Cases of Motion of Electrification at the Speed of Light.
    • Peculiarities at the Speed of Light.
    • The Energy Wasted in the Spherical Pulse from a Jerked Electron, and the Energy left behind.
    • The Potential of a Charged Spheroid moving along its Axis.
    • APPENDIX J. NOTE ON THE SIZE AND INERTIA OP ELECTRONS.
    • APPENDIX K. VECTOR ANALYSIS.*
    • CHAPTER X.
    • Matter, Electricity, Ether and the Pressure of Radiation.
    • The Moving Force Acting on a Deformable Ether.
    • How to have Constant Speed through Space of Plane Radiation Traversing a Moving Compressible Ether.
    • Connection Between the Compressed Electromagnetic Wave and Rankine’s Wave of Compression.
    • Theory of the Rankinian Wave of Compression.
    • Crossing of Two Waves. Riemann’s Solution.
    • Modification of the Rankinian to make a Compressed Maxwellian Wave.
    • The Waste of Energy from a Moving Electron.
    • Sound Waves and Electromagnetics. The Pan-potential.
    • The Radiation from an Electron describing a Circular Orbit.
    • The Radiation from an Electron moving in an Elliptic, or any other Orbit.
    • The Principle of Least Action. Lagrange’s Equations.
    • The Principle of Activity and Lagrange’s Equations. Rotation of a Rigid Body.
    • The Undistorted Cylindrical Wave.
    • Extension of Kelvin’s Thermoelectric Theory.
    • The Pressure of Radiation.
    • Electromagnetics in a Moving Dielectric.
    • The Charging of a Cable through a Condenser and Resistance.
    • Other Critical Cases. Mathematical Excursion.
    • The Curbing Effect of an Inductance Shunt.
    • The Transverse Momentum of an Electron.
    • Extension to Helixal Motion.
    • Deep Water Waves.
    • The Solution of Definite Integrals by Differential Transformation.
    • Given the Effect, Find the Cause. The Inversion of Operations.
    • Theory of Electric Telegraphy.
    • Some Plane and Cylindrical Waves.
    • Plane Waves in a Dielectric Loaded in a Certain Way.
    • The Generation of Spherical Pulses in an Elastic Solid.
    • Plane Waves in moving Mediums. The Energy and Forces.
    • The Electromagnetic Circuital Equations and Connected Matter.
    • Theory of an Electric Charge in Variable Motion.
    • Slanting Motion of Electrified Straight Line.
    • The Magnetic Inertia of a Charged Conductor in a Field of Force.
    • Boltzmann’s Interpretation of Maxwell.
    • Vectors versus Quaternions.
    • Quaternionic Innovations.
    • The Teaching of Mathematics.
    • The Teaching of Mathematics.
    • The Pan-Potential as a Surface-Integral.
    • Limitations on Scientific Prediction.
    • SOME UNPUBLISHED NOTES OF OLIVER HEAVISIDE
    • THE HEAVISIDE PAPERS FOUND AT PAIGNTON IN 1957
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2371971; 666 pp
MSC: Primary 78; 01;

Oliver Heaviside is probably best known to the majority of mathematicians for the Heaviside function in the theory of distribution. However, his main research activity concerned the theory of electricity and magnetism, the area in which he worked for most of his life. Results of this work are presented in his fundamental three-volume Electromagnetic Theory. The book brings together many of Heaviside's published and unpublished notes and short articles written between 1891 and 1912. One of Heaviside's main achievements was the recasting of Maxwell's theory of electromagnetism into the form currently used by everyone. He is also known for the invention of operational calculus and for major contributions to solving theoretical and practical problems of cable and radio communication. All this is collected in three volumes of Electromagnetic Theory. However, there is even more. For example, Chapter V in Volume II discusses the age of Earth, and several sections in Volume III talk about the teaching of mathematics in school.

In addition to Heaviside's writings, two detailed surveys of Heaviside's work, by Sir Edmund Whittaker and by B. A. Behrend, are included in Volume I, and a long account of Heaviside's unpublished notes (which he presumably planned to publish as Volume IV of Electromagnetic Theory) is included in Volume III.

This item is also available as part of a set:
  • ELECTROMAGNETIC THEORY
  • PREFACE TO VOL III.
  • CONTENTS OF VOLUME III.
  • CHAPTER IX.
  • Adagio. Andante. Allegro moderato.
  • Simple Proof of Fundamental Property of a Plane Wave.
  • The General Plane Wave.
  • Generation of Waves by a Plane Source of Induction.
  • Generation of Waves by a Plane Source of Displacement.
  • Comparison of Electromagnetic with Aerial Waves.
  • Waves ending perpendicularly upon a Conductor. Conductionand Convection.
  • Oblique Reflection at a Conducting Surface with H tangential. Transformation to a Convection Problem.
  • Generation of a Pair of Inclined Plane Waves by Motion of anElectrified Strip; u>v. The applied force required.
  • Generation of a Pair of Inclined Plane Waves by a MovingSource of Induction, when u>v.
  • Two ways of Dividing a Pair of Crossing Pure Plane Waves tomake Convection Problems; u>v.
  • Slanting Plane Waves Generated by a Moving Magnet, and byan Electrified Strip moving normally to its Plane.
  • Generation of a Single Plane Wave by Motion of an ElectrifiedElectret. Also of Two Separated Plane Waves.
  • Theory of the Steady Rectilinear Motion of a Point-Charge or“ Electron” through the Ether when u<v and when u>v.
  • Construction of the Slanting Plane Waves generated by anElectrified Line by means of the Potential of an Electron.
  • The steady Rectilinear Motion in its own line of a Terminated Electrified Line when u>v, and interpretation of the Impure Conical Wave following an Electron.
  • The Wave from a Straight Line Source of Induction in a Non-conducting Dielectric.
  • The Wave from a Straight Line Source of Induction in a Conductor.
  • The Waves due to a Growing Plane Sheet ot Sources of Induction, and to Travelling Filaments, at any Speed.
  • Reversion to Divergent Plane Waves. Is the Ether Fixed ?
  • Drag of Matter upon Ether. Modified Circuital Equations, and the Wave-speed resulting.
  • Comparison of Wave-speeds in special Cases.
  • Effect of Modified Circuital Equations on Electrical Distributions.
  • Lorentz’s Equations of a Moving Dielectric.
  • The Wave-speed according to Lorentz.
  • Possible Equations for a Moving Magnetised Substance.
  • Larmor’s Equations for a Moving Body.
  • Theory of Moving Electrified Cones; u>v. The Moving Force upon them and upon an Electrified Line.
  • Theory of Electrified Line of Finite Length Moving Transversely; u>v.
  • Motion of Electrified Hyperboloids; u>v.
  • Growing Plane Source of Induction. Transition from u>v to u<v.
  • The Waves from a Plane Strip Source of Induction suddenly started.
  • Impressed Current along a Straight Axis. The Operational Solution in General.
  • Algebrisation of the Operational Solution in the case of Steady Motion of an Electron or of an Electrified Line; u>v.
  • Application of Simply Periodic Analysis. The Transition from u< to u>v.
  • Train of Simply Periodic Forced Waves along an Axis. The Work done and Waste of Energy.
  • Construction of the Simply Periodic Wave Train from the Two Electronic Steady Solutions.
  • Connection between Moving Electrification and Moving Electrisation. Transition from Cylindrical to Conical Wave.
  • Spherical Impulsive Wave due to sudden Displacement of an Electron.
  • Spherical Impulse due to sudden change of Velocity of an Electron. Rontgen Rays.
  • Wave Train due to Damped Vibrations.
  • Investigation of the Electromagnetic Field due to an Impressed Electric Current growing in a Straight Line. The Solutions in Sphere and Cone.
  • The electric field demands separate consideration, to follow The Ellipsoidal and Conical Equipotential Surfaces.
  • The Magnetic Force and Electric Current in the Cone and Sphere. The Spherical Current Sheet.
  • The Manner of Continuity of the Electric Current.
  • The Electric Force, and Time Integral of Magnetic Force.
  • The Distribution of Displacement.
  • Solutions for an Electron Jerked Away from a Stationary Compensating Charge. The Spherical Pulse.
  • Solutions for a Jerked Electron Without Compensating Charge.
  • Comparison of two Cases of Motion of Electrification at the Speed of Light.
  • Peculiarities at the Speed of Light.
  • The Energy Wasted in the Spherical Pulse from a Jerked Electron, and the Energy left behind.
  • The Potential of a Charged Spheroid moving along its Axis.
  • APPENDIX J. NOTE ON THE SIZE AND INERTIA OP ELECTRONS.
  • APPENDIX K. VECTOR ANALYSIS.*
  • CHAPTER X.
  • Matter, Electricity, Ether and the Pressure of Radiation.
  • The Moving Force Acting on a Deformable Ether.
  • How to have Constant Speed through Space of Plane Radiation Traversing a Moving Compressible Ether.
  • Connection Between the Compressed Electromagnetic Wave and Rankine’s Wave of Compression.
  • Theory of the Rankinian Wave of Compression.
  • Crossing of Two Waves. Riemann’s Solution.
  • Modification of the Rankinian to make a Compressed Maxwellian Wave.
  • The Waste of Energy from a Moving Electron.
  • Sound Waves and Electromagnetics. The Pan-potential.
  • The Radiation from an Electron describing a Circular Orbit.
  • The Radiation from an Electron moving in an Elliptic, or any other Orbit.
  • The Principle of Least Action. Lagrange’s Equations.
  • The Principle of Activity and Lagrange’s Equations. Rotation of a Rigid Body.
  • The Undistorted Cylindrical Wave.
  • Extension of Kelvin’s Thermoelectric Theory.
  • The Pressure of Radiation.
  • Electromagnetics in a Moving Dielectric.
  • The Charging of a Cable through a Condenser and Resistance.
  • Other Critical Cases. Mathematical Excursion.
  • The Curbing Effect of an Inductance Shunt.
  • The Transverse Momentum of an Electron.
  • Extension to Helixal Motion.
  • Deep Water Waves.
  • The Solution of Definite Integrals by Differential Transformation.
  • Given the Effect, Find the Cause. The Inversion of Operations.
  • Theory of Electric Telegraphy.
  • Some Plane and Cylindrical Waves.
  • Plane Waves in a Dielectric Loaded in a Certain Way.
  • The Generation of Spherical Pulses in an Elastic Solid.
  • Plane Waves in moving Mediums. The Energy and Forces.
  • The Electromagnetic Circuital Equations and Connected Matter.
  • Theory of an Electric Charge in Variable Motion.
  • Slanting Motion of Electrified Straight Line.
  • The Magnetic Inertia of a Charged Conductor in a Field of Force.
  • Boltzmann’s Interpretation of Maxwell.
  • Vectors versus Quaternions.
  • Quaternionic Innovations.
  • The Teaching of Mathematics.
  • The Teaching of Mathematics.
  • The Pan-Potential as a Surface-Integral.
  • Limitations on Scientific Prediction.
  • SOME UNPUBLISHED NOTES OF OLIVER HEAVISIDE
  • THE HEAVISIDE PAPERS FOUND AT PAIGNTON IN 1957
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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