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Viac informácií o knihe Potential Theory in the Complex Plane

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Anotácia knihy

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 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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Mathematics Calculus & mathematical analysis

• Celý názov: Potential Theory in the Complex Plane
• Autor: Thomas Ransford
• Jazyk: Angličtina
• Väzba: Brožovaná
• Počet strán: 244
• EAN: 9780521466547
• ISBN: 0521466547
• ID: 04092023
• Nakladateľ: Cambridge University Press
• Hmotnosť: 372 g
• Rozmery: 151 × 227 × 21 mm
• Dátum vydania: 16. March 1995

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