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Pristine Transfinite Graphs and Permissive Electrical Networks

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Published by Birkhäuser Boston .
Written in English

Subjects:

  • Combinatorics & graph theory,
  • Cybernetics & systems theory,
  • Science/Mathematics,
  • Algebra,
  • Mathematics,
  • Transfinite numbers,
  • Graphic Methods,
  • Circuit theory,
  • Technology / Engineering / Electrical,
  • analytical engineering,
  • systems theory,
  • Combinatorics,
  • Algebra - General,
  • Graph Theory

Book details:

The Physical Object
FormatHardcover
Number of Pages183
ID Numbers
Open LibraryOL8074708M
ISBN 100817641947
ISBN 109780817641948

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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. Pristine Transfinite Graphs and Permissive Electrical Networks - Kindle edition by Zemanian, Armen H.. Download it once and read it on your Kindle device, PC, phones or tablets. Use features like bookmarks, note taking and highlighting while reading Pristine Transfinite Graphs and Permissive Electrical Networks. Get this from a library! Pristine transfinite graphs and permissive electrical networks. [A H Zemanian] -- "Pristine Transfinite Graphs and Permissive Electrical Networks provides a more accessible introduction to the subject that, though sacrificing some generality, captures the essential ideas of. A transfinite graph will be called “pristine” if all its nodes are pristine. For such graphs, the definition of a transfinite path is much simpler than it is for a transfinite graph in general, and the same is true for other concomitant : Armen H. Zemanian.

Pristine Transfinite Graphs and Permissive Electrical Networks by Zemanian, A. H. and a great selection of related books, art and collectibles available now at Graphs and Networks: Transfinite and Nonstandard: : Zemanian, A. H.: Libri in altre lingueAuthor: A. H. Zemanian. 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. Over the past two decades a general mathematical theory of infinite electrical networks has been developed. This is the first book to present the salient features of this theory in a coherent exposition. Using the basic tools of functional analysis and graph theory, the author presents the fundamental developments of the past two decades and discusses applications to other areas of mathematics.

Pristine transfinite graphs and permissive electrical networks. 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 Cited by: 8. 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. Search result for a-h-zemanian: Graphs and Networks(), Distribution Theory and Transform Analysis: An Introduction to Generalized Functions, with Applications(), Pristine Transfinite Graphs and Permissive Electrical Networks(), Distribution Theory and Transform Analysis(), Infinite Electrical Networks(), Distribution . TRANSFINITE GRAPHS AND ELECTRICAL NETWORKS A. H. ZEMANIAN Abstract. All prior theories of infinite electrical networks assume that such networks are finitely connected, that is, between any two nodes of the network there is a finite path. This work establishes a theory for transfinite electrical net-.