عنوان
پدید آورنده
موضوع
رده
کتابخانه
محل استقرار
INTERNATIONAL STANDARD BOOK NUMBER
(Number (ISBN
9781461201632
(Number (ISBN
9781461266419
NATIONAL BIBLIOGRAPHY NUMBER
Number
b402649
TITLE AND STATEMENT OF RESPONSIBILITY
Title Proper
Pristine Transfinite Graphs and Permissive Electrical Networks
General Material Designation
[Book]
First Statement of Responsibility
by Armen H. Zemanian.
.PUBLICATION, DISTRIBUTION, ETC
Place of Publication, Distribution, etc.
Boston, MA :
Name of Publisher, Distributor, etc.
Imprint: Birkhäuser,
Date of Publication, Distribution, etc.
2001.
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
International Standard Book Number
9781461266419
PIECE
Title
Springer eBooks
TOPICAL NAME USED AS SUBJECT
Computer engineering.
Engineering.
Physics.
PERSONAL NAME - PRIMARY RESPONSIBILITY
Zemanian, A. H., (Armen H.)
CORPORATE BODY NAME - ALTERNATIVE RESPONSIBILITY
SpringerLink (Online service)
ORIGINATING SOURCE
Date of Transaction
20190307161100.0
ELECTRONIC LOCATION AND ACCESS
Electronic name
مطالعه متن کتاب [Book]
Y
