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Bücher Englische Bücher Pristine Transfinite Graphs and Permissive Electrical Networks
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Pristine Transfinite Graphs and Permissive Electrical Networks
Armen H. Zemanian (Broschiert, Englisch)
Optischer Zustand
Beschreibung
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. 53,49 €
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Technische Daten
Erscheinungsdatum
01.11.2012
Sprache
Englisch
EAN
9781461266419
Herausgeber
Birkhäuser Boston
Sonderedition
Nein
Autor
Armen H. Zemanian
Seitenanzahl
183
Einbandart
Broschiert
Schlagwörter
Circuit theory, Graph, Graph theory, Node, Operations Research, Potential, Sim, analytical engineering, systems theory, complexity
Thema-Inhalt
PBD - Diskrete Mathematik
THR - Elektrotechnik
TBJ - Mathematik für Ingenieure
GPFC - Kybernetik und Systemtheorie
TJFM - Regelungstechnik
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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