Transfiniteness for graphs, electrical networks, and random walks more books like this

by Armen H Zemanian

Transfinite numbers were invented by Cantor in the 19th century, and they profoundly affected the development of 20th-century mathematics. Despite this century-old introduction of transfiniteness into mathematics, its implications for graphs has only been examined recently. This text focuses on transfinite graphs and their ramifications for ...

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The Continuum and Other Types of Serial Order more books like this

by Edward V Huntington

Based on the Dedekind-Cantor ordinal theory, this classic presents the best systematic elementary account of modern theory of the continuum as a type of serial order. 119 footnotes. 1917 edition.

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Graphs and Networks: Transfinite and Nonstandard more books like this

by Armen H Zemanian

This book examines results on transfinite graphs and networks achieved through research over the past several years. 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 ...

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Georg Cantor: His Mathematics and Philosophy of the Infinite more books like this

by Joseph Warren Dauben

One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important study, the most thorough yet written of the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital ...

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Galvin's "Racing Pawns" Game and a Well-Ordering of Trees more books like this

by S. Grantham

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Sets and transfinite numbers more books like this

by Martin M. Zuckerman

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The theory of sets and transfinite numbers more books like this

by B. Rotman, G. T. Kneebone

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Pristine Transfinite Graphs and Permissive Electrical Networks more books like this

by Armen H Zemanian

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 ...

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The theory of sets and transfinite arithmetic. more books like this

by Alexander Abian

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The continuum, and other types of serial order, with an introduction to Cantor's transfinite numbers more books like this

by E. V. Huntington, Georg Cantor

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Transfinite Zahlen. more books like this

by Heinz Bachmann

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