Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
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Zustand: New. Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions. Series: London Mathematical Society Student Texts. Num Pages: 244 pages, black & white illustrations. BIC Classification: PBKD. Category: (P) Professional & Vocational. Dimension: 232 x 161 x 22. Weight in Grams: 508. . 1995. hardcover. . . . . Bestandsnummer des Verkäufers V9780521461207
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Hardcover. Zustand: new. Hardcover. Potential 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 PhragmenLindeloef 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. Potential 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 item is printed on demand. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9780521461207
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