Theory of Cluster Sets: 56 (Cambridge Tracts in Mathematics, Series Number 56) - Softcover

Collingwood, E. F.

Softcover

ISBN 10: 0521604818 ISBN 13: 9780521604819

Publisher: Cambridge University Press, 2008

Synopsis

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.

About this title

Book Description

The book provides an introduction to the theory of cluster sets, a branch of topological analysis which has made great strides in recent years. An important and novel feature of the book is the discussion of more general applications to non-analytic functions, including arbitrary functions.

Edition details

• Publisher: Cambridge University Press
• Publication date: 2008
• Language: English
• ISBN 10: 0521604818
• ISBN 13: 9780521604819
• Binding: Paperback
• Number of pages: 224