Transfiniteness is an abstract mathematical concept that is extended by the author to the very real world of graphs and networks and the idea of random walks, topics of particular interest to circuits and systems network research. The book will be of interest to mathematicians in probability and computer science as well as to electrical engineers, circuits engineers and other physical scientists.
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Etat : New. pp. 200. N° de réf. du vendeur 26321453
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Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Vendeur : Grand Eagle Retail, Bensenville, IL, Etats-Unis
Hardcover. Etat : new. Hardcover. A transfinite graph or electrical network of the first rank isobtained conceptually by connecting conventionally infinite graphs andnetworks together at their infinite extremities. This process can berepeated to obtain a hierarchy of transfiniteness whose ranks increasethrough the countable ordinals. This idea, which is of recent origin,has enriched the theories of graphs and networks with radically newconstructs and research problems.The book provides a more accessible introduction to the subject that,though sacrificing some generality, captures the essential ideas oftransfiniteness for graphs and networks. Thus, for example, someresults concerning discrete potentials and random walks on transfinitenetworks can now be presented more concisely. Conversely, thesimplifications enable the development of many new results that werepreviously unavailable.Topics and features: *A simplified exposition provides an introductionto transfiniteness for graphs and networks.*Various results forconventional graphs are extended transfinitely. *Minty's powerfulanalysis of monotone electrical networks is also extendedtransfinitely.*Maximum principles for node voltages in lineartransfinite networks are established. *A concise treatment of randomwalks on transfinite networks is developed. *Conventional theory isexpanded with radically new constructs.Mathematicians, operations researchers and electrical engineers, inparticular, graph theorists, electrical circuit theorists, andprobabalists will find an accessible exposition of an advancedsubject. A transfinite graph or electrical network of the first rank is obtained conceptually by connecting conventionally infinite graphs and networks together at their infinite extremities. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780817641948
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Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Etat : New. In. N° de réf. du vendeur ria9780817641948_new
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Vendeur : Basi6 International, Irving, TX, Etats-Unis
Etat : Brand New. New. US edition. Expediting shipping for all USA and Europe orders excluding PO Box. Excellent Customer Service. N° de réf. du vendeur ABEJUNE24-130102
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