Potential theory in the complex plane /
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, conce...
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| Author / Creator: | Ransford, Thomas. |
|---|---|
| Imprint: | Cambridge [England] ; New York : Press Syndicate of the University of Cambridge, 1995. |
| Description: | 1 online resource (x, 232 pages) |
| Language: | English |
| Series: | London Mathematical Society student texts ; 28 London Mathematical Society student texts ; 28. |
| Subject: | Potential theory (Mathematics) Functions of complex variables. Potentiel, Théorie du. Fonctions d'une variable complexe. MATHEMATICS -- Complex Analysis. Functions of complex variables. Potential theory (Mathematics) Potenzialtheorie Potentiaaltheorie. TEORIA DO POTENCIAL. Potentiel, Théorie du. Fonctions de plusieurs variables complexes. Electronic books. Electronic books. |
| Format: | E-Resource Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/11179792 |
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| 100 | 1 | |a Ransford, Thomas. | |
| 245 | 1 | 0 | |a Potential theory in the complex plane / |c Thomas Ransford. |
| 260 | |a Cambridge [England] ; |a New York : |b Press Syndicate of the University of Cambridge, |c 1995. | ||
| 300 | |a 1 online resource (x, 232 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society student texts ; |v 28 | |
| 504 | |a Includes bibliographical references (pages 219-223) and index. | ||
| 505 | 0 | |a Harmonic functions -- Subharmonic functions -- Potential theory -- The Dirichlet problem -- Capacity -- Applications. | |
| 588 | 0 | |a Print version record. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Potential theory (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85105671 | |
| 650 | 0 | |a Functions of complex variables. |0 http://id.loc.gov/authorities/subjects/sh85052356 | |
| 650 | 6 | |a Potentiel, Théorie du. | |
| 650 | 6 | |a Fonctions d'une variable complexe. | |
| 650 | 7 | |a MATHEMATICS |x Complex Analysis. |2 bisacsh | |
| 650 | 7 | |a Functions of complex variables. |2 fast |0 (OCoLC)fst00936116 | |
| 650 | 7 | |a Potential theory (Mathematics) |2 fast |0 (OCoLC)fst01073489 | |
| 650 | 7 | |a Potenzialtheorie |2 gnd |0 http://d-nb.info/gnd/4046939-6 | |
| 650 | 1 | 7 | |a Potentiaaltheorie. |2 gtt |
| 650 | 7 | |a TEORIA DO POTENCIAL. |2 larpcal | |
| 650 | 7 | |a Potentiel, Théorie du. |2 ram | |
| 650 | 7 | |a Fonctions de plusieurs variables complexes. |2 ram | |
| 655 | 0 | |a Electronic books. | |
| 655 | 4 | |a Electronic books. | |
| 776 | 0 | 8 | |i Print version: |a Ransford, Thomas. |t Potential theory in the complex plane. |d Cambridge [England] ; New York : Press Syndicate of the University of Cambridge, 1995 |z 0521461200 |w (DLC) 94038846 |w (OCoLC)31291287 |
| 830 | 0 | |a London Mathematical Society student texts ; |v 28. |0 http://id.loc.gov/authorities/names/n84727069 | |
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