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Graphs and Networks: Transfinite and Nonstandard
Paperback
Technology & EngineeringGeneral Mathematics
ISBN13: 9780817642921
Publisher: Springer Nature
Published: May 13 2004
Pages: 202
Weight: 0.83
Height: 0.57 Width: 6.20 Depth: 9.16
Language: English
This self-contained book examines results on transfinite graphs and networks achieved through contiued research effort over the past several years. These new results, covering the mathematical theory of electrical circuits, are different from those presented in two previously published books by the author, Transfiniteness for Graphs, Electrical Networks, and Random Walks and Pristine Transfinite Graphs and Permissive Electrical Networks. Specific topics covered include connectedness ideas, distance ideas, and nontransitivity of connectedness.
The book will appeal to a diverse readership, including graduate students, electrical engineers, mathematicians, and physicists working on infinite electrical networks. Moreover, the growing and presently substantial number of mathematicians working in nonstandard analysis may well be attracted by the novel application of the analysis employed in the work.
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