{"product_id":"potential-theory-in-the-complex-plane-london-mathematical-society-student-texts-series-number-28-0521461200","title":"Potential Theory in the Complex Plane (London Mathematical Society Student Texts, Series Number 28)","description":"\u003cp\u003e\u003cstrong\u003eISBN:\u003c\/strong\u003e 0521461200\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eAuthor:\u003c\/strong\u003e Ransford, Thomas\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eCondition:\u003c\/strong\u003e New\u003c\/p\u003e\u003cp\u003eRansford provides an introduction to the subject, concentrating on the important case of two dimensions, and emphasizing its links with complex analysis. This is reflected in the large number of applications, which include Picard's theorem, the Phragmén-Lindelf principle, the Radó-Stout theorem, Lindelf's theory of asymptotic values, the Riemann mapping theorem (including continuity at the boundary), the Koebe one-quarter theorem, Hilbert's lemniscate theorem, and the sharp quantitative form of Runge's theorem. In addition, there is a chapter on connections with functional analysis and dynamical systems, which shows how the theory can be applied to other parts of mathematics and gives a flavor of some recent research in the area.\u003c\/p\u003e","brand":"Mia Karts","offers":[{"title":"Default Title","offer_id":51939997516064,"sku":"NEW0521461200","price":225.95,"currency_code":"USD","in_stock":true}],"url":"https:\/\/miakarts.com\/products\/potential-theory-in-the-complex-plane-london-mathematical-society-student-texts-series-number-28-0521461200","provider":"Miakarts Books","version":"1.0","type":"link"}