TY - CHAP

T1 - Oliver heaviside, electrical papers (1892)

AU - Yavetz, Ido

PY - 2005

Y1 - 2005

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84882817421&partnerID=8YFLogxK

U2 - 10.1016/B978-044450871-3/50130-3

DO - 10.1016/B978-044450871-3/50130-3

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AN - SCOPUS:84882817421

SN - 9780444508713

SP - 639

EP - 652

BT - Landmark Writings in Western Mathematics 1640-1940

PB - Elsevier

ER -