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

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

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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.