Potential Theory in the Complex Plane: 28 (London Mathematical Society Student Texts, Series Number 28) - Hardcover
Book 19 of 83: London Mathematical Society Student Texts
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Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions.
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Potential Theory in the Complex Plane Potential theory is the broad area of mathematical analysis encompassing such topics as harmonic and subharmonic functions. Full description
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'This book is a engaging addition to the estimable London Mathematical Student Text Series. An excellent text; my compliments to the author.' The Mathematical Intelligencer
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Potential Theory in the Complex Plane (London Mathematical Society Student Texts, Series Number 28)
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Cambridge University Press, 1995
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ISBN 13: 9780521461207
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Potential Theory In The Complex Plane
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ISBN 10: 0521461200
ISBN 13: 9780521461207
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Potential Theory in the Complex Plane (London Mathematical Society Student Texts, Series Number 28)
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ISBN 13: 9780521461207
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Potential theory in the complex plane Thomas Ransford. London Mathematical Society student texts 28.
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Potential Theory in the Complex Plane (London Mathematical Society Student Texts, Series Number 28)
Published by
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ISBN 10: 0521461200
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Potential Theory in the Complex Plane (London Mathematical Society Student Texts, Series Number 28)
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Potential Theory in the Complex Plane (London Mathematical Society Student Texts, Series Number 28)
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ISBN 10: 0521461200
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Potential Theory in the Complex Plane (London Mathematical Society Student Texts)
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Potential Theory in the Complex Plane (London Mathematical Society Student Texts)
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ISBN 10: 0521461200
ISBN 13: 9780521461207
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Potential Theory in the Complex Plane (Hardcover)
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Cambridge University Press, Cambridge, 1995
ISBN 10: 0521461200
ISBN 13: 9780521461207
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Hardcover. Condition: 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 Phragmen-Lindeloef 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. Ransford 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 Phragmen-Lindelof principle, the Rado-Stout theorem, Lindelof'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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780521461207