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Download The Theory of Cluster Sets (Cambridge Tracts in Mathematics) eBook

by E. F. Collingwood,A. J. Lohwater

Download The Theory of Cluster Sets (Cambridge Tracts in Mathematics) eBook
ISBN:
0521604818
Author:
E. F. Collingwood,A. J. Lohwater
Category:
Mathematics
Language:
English
Publisher:
Cambridge University Press (June 3, 2004)
Pages:
224 pages
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1184 kb
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1781 kb
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1979 kb
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E English Français. Proceedings of the Edinburgh Mathematical Society. To send this article to your Kindle, first ensure no-replyridge. Find out more about sending to your Kindle.

Cluster sets in the large of meromorphic functions on Riemann surfaces. Series: Cambridge Tracts in Mathematics (56). The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent years

Cluster sets in the large of meromorphic functions on Riemann surfaces. Israel Journal of Mathematics, Vol. 37, Issue. Subjects: Real and Complex Analysis, Recreational Mathematics, Abstract Analysis, Mathematics. The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent years. The cluster set of a function at a particular point is the set of limit values of the function at that point which may be either a boundary point or (in the case of a non-analytic function) an interior point of the function's domain.

The book provides an introduction to the theory of cluster sets, a branch of topological analysis .

The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent years. The cluster set of a function at a particular point is the set of limit values of the function at that point which may be either a boundary point or (in the case of a non-analytic function) an interior point of the function's The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has. made great strides in recent years.

F. Collingwood, A. J. Lohwater. Download (djvu, 977 Kb) Donate Read.

E. F. Collingwood; A. ISBN 10: 0521604818 ISBN 13: 9780521604819. Publisher: Cambridge University Press, 2004.

by E. Published June 3, 2004 by Cambridge University Press. The notion of a cluster set was first formulated explicitly by Painlevé (, p. 438) in his well-known Stockholm lectures of 1895 on differential equations.

oceedings{, title {The theory of cluster sets}, author {Edward Collingwood and A. . Lohwater}, year {1966} }. Edward Collingwood, A. Preface 1. Introduction 2. Functions analytic in a circular disc 3. Topics in the theory of conformal mapping 4. Intrinsic properties of cluster sets 5. Cluster sets of functions analytic in the unit disc 6. Boundary theory in the large 7. Boundary theory in the small 8. Further boundary properties of functions meromorphic in the disc. classification of singularities 9. Prime ends Bibliography. Index of symbols Index

Collingwood, E. and A. Lohwater: The theory of cluster sets. Cambridge Tracts in Mathematics and Mathematical Physics 56. The University Press, Cambridge, 1966.

Collingwood, E. Meier, . Über die Randwerte der meromorphen Funktionen. Ann. 142, 1961, pp. 328–344. Plessner, . Über das Verhalten analytischer Funktionen am Rande ihres Definitionsbereichs. Author: A. Publisher: Cambridge Univ Pr. Published: May 2004. Author: E. Collingwood.

The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent years. The cluster set of a function at a particular point is the set of limit values of the function at that point which may be either a boundary point or (in the case of a non-analytic function) an interior point of the function's domain. In topological analysis, its main application is to problems arising in the theory of functions of a complex variable, with particular reference to boundary behaviour such as the theory of prime ends under conformal mapping. An important and novel feature of the book is the discussion of more general applications to non-analytic functions, including arbitrary functions. The authors assume a general familiarity with classical function theory but include the more specialised material required for the development of the theory of cluster sets, so making the treatment accessible to graduate students.