000 02243nam a22003618i 4500
001 CR9780511623776
003 UkCbUP
005 20200124160222.0
006 m|||||o||d||||||||
007 cr||||||||||||
008 090916s1995||||enk o ||1 0|eng|d
020 _a9780511623776 (ebook)
020 _z9780521461207 (hardback)
020 _z9780521466547 (paperback)
040 _aUkCbUP
_beng
_erda
_cUkCbUP
050 0 0 _aQA404.7
_b.R36 1995
082 0 0 _a515.9
_220
100 1 _aRansford, Thomas,
_eauthor.
245 1 0 _aPotential theory in the complex plane /
_cThomas Ransford.
264 1 _aCambridge :
_bCambridge University Press,
_c1995.
300 _a1 online resource (x, 232 pages) :
_bdigital, PDF file(s).
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society student texts ;
_v28
500 _aTitle from publisher's bibliographic system (viewed on 05 Oct 2015).
520 _aPotential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions, the Dirichlet problem, harmonic measure, Green's functions, potentials and capacity. This is an introduction to the subject suitable for beginning graduate students, concentrating on the important case of two dimensions. This permits a simpler treatment than other books, yet is still sufficient for a wide range of applications to complex analysis; these include Picard's theorem, the Phragmén-Lindelöf principle, the Koebe one-quarter mapping theorem and a 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 flavour of some recent research. Exercises are provided throughout, enabling the book to be used with advanced courses on complex analysis or potential theory.
650 0 _aPotential theory (Mathematics)
650 0 _aFunctions of complex variables.
776 0 8 _iPrint version:
_z9780521461207
830 0 _aLondon Mathematical Society student texts ;
_v28.
856 4 0 _uhttps://doi.org/10.1017/CBO9780511623776
999 _c516822
_d516820