Pristine Transfinite Graphs and Permissive Electrical Networks

Name: Pristine Transfinite Graphs and Permissive Electrical Networks
Brand: Springer, Basel
SKU: 9780817641948
Price: 276.01 RON
Availability: InStock

Autor: Armen H. Zemanian

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Editura: Springer, Basel

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A transfinite graph or electrical network of the first rank is §obtained conceptually by connecting...

Informații despre carte

Autor

Armen H. Zemanian

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2000

Pagini

183

EAN

9780817641948

ISBN

0817641947

Enbook ID

02106220

Editura

Springer, Basel

Greutate

458

Dimensiuni

156 x 234 x 12

Descriere completă

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. This process can be §repeated to obtain a hierarchy of transfiniteness whose ranks increase §through the countable ordinals. This idea, which is of recent origin, §has enriched the theories of graphs and networks with radically new §constructs and research problems. §The book provides a more accessible introduction to the subject that, §though sacrificing some generality, captures the essential ideas of §transfiniteness for graphs and networks. Thus, for example, some §results concerning discrete potentials and random walks on transfinite §networks can now be presented more concisely. Conversely, the §simplifications enable the development of many new results that were §previously unavailable. §Topics and features: A simplified exposition provides an introduction §to transfiniteness for graphs and networks. Various results for §conventional graphs are extended transfinitely. Minty's powerful §analysis of monotone electrical networks is also extended §transfinitely. Maximum principles for node voltages in linear §transfinite networks are established. A concise treatment of random §walks on transfinite networks is developed. Conventional theory is §expanded with radically new constructs. §Mathematicians, operations researchers and electrical engineers, in §particular, graph theorists, electrical circuit theorists, and §probabalists will find an accessible exposition of an advanced §subject.

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