{"product_id":"9780817641948","title":"Pristine Transfinite Graphs and Permissive Electrical Networks","description":"\u003ch1\u003ePristine Transfinite Graphs and Permissive Electrical Networks\u003c\/h1\u003e \u003ch2\u003eZemanian, Armen H.\u003c\/h2\u003e \u003cp\u003eA transfinite graph or electrical network of the first rank is \nobtained conceptually by connecting conventionally infinite graphs and \nnetworks together at their infinite extremities. This process can be \nrepeated to obtain a hierarchy of transfiniteness whose ranks increase \nthrough the countable ordinals. This idea, which is of recent origin, \nhas enriched the theories of graphs and networks with radically new \nconstructs and research problems. \nThe book provides a more accessible introduction to the subject that, \nthough sacrificing some generality, captures the essential ideas of \ntransfiniteness for graphs and networks. Thus, for example, some \nresults concerning discrete potentials and random walks on transfinite \nnetworks can now be presented more concisely. Conversely, the \nsimplifications enable the development of many new results that were \npreviously unavailable. \nTopics and features: *A simplified exposition provides an introduction \nto transfiniteness for graphs and networks.*Various results for \nconventional graphs are extended transfinitely. *Minty's powerful \nanalysis of monotone electrical networks is also extended \ntransfinitely.*Maximum principles for node voltages in linear \ntransfinite networks are established. *A concise treatment of random \nwalks on transfinite networks is developed. *Conventional theory is \nexpanded with radically new constructs. \nMathematicians, operations researchers and electrical engineers, in \nparticular, graph theorists, electrical circuit theorists, and \nprobabalists will find an accessible exposition of an advanced \nsubject.\u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Birkhäuser\u003c\/p\u003e \u003cp\u003ePublication Date: 2000-12-21\u003c\/p\u003e \u003cp\u003eFormat: Hardcover\u003c\/p\u003e \u003cp\u003eISBN-13: 9780817641948\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-1-4612-0163-2\u003c\/p\u003e \u003cp\u003eDimensions: 235cm x155cm\u003c\/p\u003e \u003cp\u003ePages: 183\u003c\/p\u003e ","brand":"Birkhäuser Boston","offers":[{"title":"Default Title","offer_id":46544947216524,"sku":"9780817641948","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9780817641948.jpg?v=1775759683","url":"https:\/\/lateknightbooks.com\/products\/9780817641948","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}