Electromagnetic TheoryEnglishman OLIVER HEAVISIDE (1850-1925) left school at 16 to teach himself electrical engineering, eventually becoming a renowned mathematician and one of the world's premiere authorities on electromagnetic theory and its applications for communication, including the telegraph and telephone. Here in three volumes are his collected writings on electromagnetic theory-Volume II was first published in 1899. This is a catalog of the bulk of his postulations, theorems, proofs, and common problems (and solutions) in electromagnetism, many of which had been published in article form. Part scientific history-including references to some contemporary criticisms, long since shown to be poorly based, of Heaviside's scholarship-and part guide to understanding a complex applied science, this work shows both the genius and the eccentricity of a man whose work includes precursory theories to Einstein, and revolutionary principles that today are the commonly assumed truths in the field of electrical engineering. |
Contents
| 1 | |
| 8 | |
| 14 | |
| 20 | |
| 28 | |
| 33 | |
IManMS 189S The Simple Wares of Potential and Current | 49 |
Nature and Effect of Multiple Impulses | 63 |
349a July 17 1886 Uniform Subsidence of Induction and Dis | 268 |
APPENDIX C | 275 |
CHAPTER VII | 286 |
Cabin under BadieaL Reversibility of Operations Distribu | 301 |
Oet 91896 The Waves of V and C due to a Steady Voltage | 312 |
Nov 6 1896 Expansion of Distortion Operators in Powera | 319 |
Analysis Founded upon the Division of the Instantaneous State | 326 |
SSOTIOK | 335 |
Four Cases of Elementary Waves | 77 |
JW7 IS95 3 Earth at Both Terminals Initial Charge | 91 |
Jvm SI 2S9S Fourier Series in General Various Sorts | 100 |
Continuous Passage from Wave Series to Fourier Series and | 107 |
Representation of a Row of Impulses by Taylors Theorem | 116 |
On Operational Solutions and their Interpretation | 122 |
PURE DIFFUSION OF ELECTRIC DISPLACEMENT | 129 |
Sept SO IS95 4j Cable Earthed at A and B Impressed | 138 |
SKSMOS 303 Sbr 8 ms Positive Terminal Resistance and Negative Terminal Permittance 170 | 143 |
Oct 41895 9 General Case of an Intermediate Impressed | 148 |
U Auxiliary Expansions due to the Terminal Energy Case | 156 |
First Genera Cam s Z Z | 162 |
Equal Positive ami Negative Terminal Inductances | 171 |
Impiwed Force in the Gas Z Zx | 172 |
Singular Extreme Cage of 2 or Zt being a Cable equivalent to the Main One | 173 |
3C7 More General Case to Elucidate the Last Terminal Cable Z not equivalent to Main One | 176 |
hov S3 1S9S Arbitrary Initial State when Za or Z k a Cable Singular Case | 179 |
Real Terminal Condition Terminal ArMtraries Cse of a Coil Two Ways of Treatment | 181 |
Terminal Coil and Condenser in Sequence | 184 |
Cou and Condenser in ParaM 1S5 312 Two Coils in Sequence or in Parallel | 186 |
Closed Cable and Leak Another Way | 190 |
Closed Cable with latermedlte Insertion Split into Two Simpler Case | 192 |
Same as last without Initial Splitting | 194 |
Closed Cable with Discontinuous Potential and Current | 196 |
Theory of a Leak Normal Systems | 198 |
Theory of a Leak Operational Solution | 201 |
Evaluation of Energy in Normal Systems | 203 |
an 10 tm Initial States in Combination | 207 |
Two Cable witi different Constants in Sequence with an In eertion | 208 |
Cabkinyol7iagthe2erothBsseHunetion | 211 |
A Fourier and a Beasel Cable in Sequence | 213 |
extraction of a Normal System in General 21S 327 Jan iJh im Construction of Operational Solution in a Connected System | 217 |
Remarks oa Operational and Normal Solutions Coaaectfai with the Simply Periodic | 220 |
A Bessel Cable with one Terminal Condition Two Beasel Cable in Sequence | 222 |
General Solution for Sources ia a Bessel Cable with Two Ter minal Condition | 225 |
J S31896 Conjugate Property of Yoltage aad Gaussage Solution | 228 |
Operational Solution for Sources in the General Case | 229 |
Conversion of Wire Wave to Cylindrical Wave Two Ways | 231 |
Special Case of Zeroth Beasel Solution | 234 |
Numerical Interpretation of Formula The Divergent Series | 236 |
stchoh pi | 238 |
Construction of General Solution by the Convergent Formulas | 244 |
April 24 me Rationality in p of Operational Solutions | 250 |
Physical Reason of the TJnliienest of the Two Divergent | 256 |
The Expansion Theorem and Bessel Series The Potential | 262 |
IteTimmfcofQeneMSoltttaoEinwP andwP FuncaoM 339 | 339 |
Expansion of a Power Series in J Function Examples | 344 |
Impulsive Impressed Voltages and the Impulsive Waves | 350 |
Wave due to Va varying as fP log t | 361 |
Refection a the Free Ends of a Wire A Series of Spherical | 367 |
Long Wave FormulsB for Terminal Reflection | 373 |
Comparison with Fourier Series Solution of Definite Integrals | 380 |
Derivation of C Wave from V Wave and Conversely with | 381 |
Application to Terminal Resistances Full Solutions with | 387 |
dug 1897 Reflection by a Condenser | 393 |
The States of V and C resulting from any Initial States V0 | 400 |
saSHQS MO 409 Some Fundamental Examples | 402 |
Dee 17 1897 The Genera Solution for any Initial State and some Simple Examples | 403 |
Conversion to Definite Integrals Short Cut to Fouriers Theorem | 406 |
The Space Integrals of V and C due to Element at the Origin | 408 |
The Time Integral of C due to Element at the Origin | 409 |
Evaluation of the Fundamental Integral | 410 |
Generalaation of the Integral Both kinds of Beesel Function | 412 |
Jan 14 1898 The C due to intial V Operational Method and Modilcatioa | 413 |
The V due to initial V | 415 |
Fib 18 18S8 Final Investigation of the V and C due to MtialVoaodC _ | 418 |
Undiatorted Waves without and with Attenuation | 420 |
Initial State of Constant T6 on one side of the Origin | 424 |
Division of Charge Initially at the Origin into Two Warn with Positive or Negative Charge between them | 426 |
The Current due to Initial Charge on one side of the Origin | 428 |
LAjwfl M 1898 The Aftereffects of aa Initially Pare Wave Positive and Negative Taila | 429 |
Figs 1 to 13 described in terms of Electromagnetic Waves in a doubly Conducting Medium | 431 |
GENERALISED DIFFERENTIATION AND DIVERGENT SERIES Pages 434 to 492 | 434 |
J 271898 Algebraical Construction of gn Value of jMiK | 436 |
Generalisation of Exponential Function 459 | 439 |
Application of the GeaeraHsed Exponential to a Bessel Function to the Binomial Theorem and to Taylors Theorem | 441 |
Algebraical Connection of the Convergent and Divergent Series for the Zeroth Basse Function | 443 |
Limiting Form of Generalised Binomial Expansion when Index to1 | 445 |
Remarks on the Use of Divergent Series | 447 |
Irtgwtlww Formal derived from Binomial | 450 |
Logarithmic Formula derived from Generalised Exponential | 451 |
lAugtut 191898 Connection of the Zeroth Bessel Functions | 453 |
lOek 7 mS 1 The Generalised Zeroth Bessel Function | 463 |
The Divergent Hc and Km in Terms of any Generalised | 469 |
Examination of tome Apparent Equivalences and Beatification | 476 |
Three Electrical Examples of Equivalent Convergent | 487 |
APPENDIX D | 493 |
Dee SO 1893 Oh tbx Traksutobmatios w Oman Wats | 518 |
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Common terms and phrases
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