The books you love, the emails you want
Opt in by 25 May or you'll stop hearing from us
Transfiniteness: For Graphs, Electrical Networks and Random Walks (Hardback)A. H. Zemanian (author)
Hardback 264 Pages / Published: 01/12/1995
- Not available
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 several related topics, such as electrical networks, discrete potential theory, and random walks. A transfinite graph is one wherein at least two nodes are connected through infinite paths but not through any finite path. Such a structure arises when two infinite graphs are joined at their infinite extremities by "1-nodes". In fact, infinitely many graphs may be so joined,and the result may have infinite extremities in a more general sense. The latter may in turn be joined by "2-nodes". These ideas can be extended recursively through the countable ordinals to obtain a hierarchy of transfinite graphs.
Publisher: Birkhauser Verlag AG
Number of pages: 264
Dimensions: 235 x 155 mm
You may also be interested in...
£57.94Mixed media product
Please sign in to write a review
Simply reserve online and pay at the counter when you collect. Available in shop from just two hours, subject to availability.
Thank you for your reservation
Your order is now being processed and we have sent a confirmation email to you at
When will my order be ready to collect?
Following the initial email, you will be contacted by the shop to confirm that your item is available for collection.
Call us on or send us an email at
Unfortunately there has been a problem with your order
Please try again or alternatively you can contact your chosen shop on or send us an email at