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by E. F. Collingwood,A. J. Lohwater
Download The Theory of Cluster Sets (Cambridge Tracts in Mathematics) fb2
Mathematics
  • Author:
    E. F. Collingwood,A. J. Lohwater
  • ISBN:
    0521046955
  • ISBN13:
    978-0521046954
  • Genre:
  • Publisher:
    Cambridge University Press; n edition (January 2, 1966)
  • Pages:
    224 pages
  • Subcategory:
    Mathematics
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    1820 kb
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    1702 kb
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    1555 kb
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    4.9
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    838
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Cluster sets in the large of meromorphic functions on Riemann surfaces. E. F. Collingwood, A. J. Lohwater. 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. Online ISBN: 9780511566134. 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.

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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.

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.

By E. Author: A. Publisher: Cambridge Univ Pr. Published: May 2004. Author: E. Collingwood.

Поиск книг BookFi BookSee - Download books for free. The Theory of Cluster Sets. Категория: M Mathematics, MC Calculus, MCc Complex variable. 977 Kb. An Essay on Philosophical Method. R. G. Collingwood, James Connelly, Giuseppina D'Oro.

Collingwood returned to Cambridge and was in 1929 awarded a doctorate for a thesis entitled Contributions to the theory of integral functions. Collingwood left Cambridge in 1937 when he was appointed High Sheriff of Northumberland for that year. He was later appointed Deputy Lieutenant of his home county. During World War II he served in the RNVR with the rank of Captain and was employed as a naval scientist. In 1945 he was appointed Chief Scientist in the Mine Design department of the Admiralty. For his service he was awarded the CBE.

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.