Capacity Functions
Sario, Leo; Oikawa, Kotaro
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Description for Capacity Functions
Paperback. Series: Grundlehren der Mathematischen Wissenschaften. Num Pages: 384 pages, biography. BIC Classification: PB. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 20. Weight in Grams: 586.
Capacity functions were born out of geometric. necessity, a decade and a half ago. Plane regions had been found of arbitrarily small area, yet with a totally disconnected boundary. Such regions seemed to defy the very spirit of Riemann's mapping theorem. They could be mapped conformally and univalently into a disk, with the single boundary point at infinity being stretched into a circle. The plausible explanation of the mystery is, of course, as follows. Under a mapping of the punctured sphere onto a disk, an area element near the punctured point would have to stretch more in the circular direction ... Read more
Capacity functions were born out of geometric. necessity, a decade and a half ago. Plane regions had been found of arbitrarily small area, yet with a totally disconnected boundary. Such regions seemed to defy the very spirit of Riemann's mapping theorem. They could be mapped conformally and univalently into a disk, with the single boundary point at infinity being stretched into a circle. The plausible explanation of the mystery is, of course, as follows. Under a mapping of the punctured sphere onto a disk, an area element near the punctured point would have to stretch more in the circular direction ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
384
Condition
New
Series
Grundlehren der Mathematischen Wissenschaften
Number of Pages
366
Place of Publication
Berlin, Germany
ISBN
9783642461835
SKU
V9783642461835
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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