Graphs and Networks

Graphs and Networks

Armen H. Zemanian

66,62 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
2004
Materia
Ingeniería: general
ISBN:
9780817642921
66,62 €
IVA incluido
Disponible

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This self-contained book examines results on transfinite graphs and networks achieved through continued 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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  • Transfiniteness
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    'What good is a newborn baby?' Michael Faraday’s reputed response when asked, 'What good is magnetic induction?' But, it must be admitted that a newborn baby may die in infancy. What about this one- the idea of transfiniteness for graphs, electrical networks, and random walks? At least its bloodline is robust. Those subjects, along with Cantor’s trans...