## Abstract

In his book titled Electrical Papers, Heaviside brought together his main writings on circuit theory and the inductive properties of wires, and his thoughts on electromagnetism. The Electrical Papers offers an advanced exposition, as well as many novel contributions to two basic themes: the theory of electromagnetic field dynamics because of Maxwell and an extension of linear circuit theory to the case of continuous transmission lines. Motivation for the expansion theorem appears to reside in the generalized Ohm's law that operational impedances associate with electrical circuits. In a circuit containing standard resistance only, if the impressed voltage is given, then the current at any time may be calculated by simple division. The main product of this endeavor was a series of three long papers "On operators in physical mathematics" that were intended for publication by the Royal Society. Only the first two were published: the third was turned down in the face of stern objections raised by mathematicians to his unconventional and potentially problematic use of divergent series.

Original language | English |
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Title of host publication | Landmark Writings in Western Mathematics 1640-1940 |

Publisher | Elsevier |

Pages | 639-652 |

Number of pages | 14 |

ISBN (Print) | 9780444508713 |

DOIs | |

State | Published - 2005 |