Riemann surfaces
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Riemann surfaces by Lars Valerian Ahlfors

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Published by Princeton University Press in Princeton, N.J .
Written in English

Subjects:

  • Riemann surfaces.,
  • Topology.

Book details:

Edition Notes

Includes bibliography.

Statementby Lars V. Ahlfors and Leo Sario.
SeriesPrinceton mathematical series -- 26
ContributionsSario, Leo, joint author.
Classifications
LC ClassificationsQA333
The Physical Object
Pagination382 p. :
Number of Pages382
ID Numbers
Open LibraryOL18342251M

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It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent. We hope that non-mathematicians as well as mathematicians (working in nearby areas to the central topic of this book) will also learn part of this subject for the sheer beauty and elegance of the material (work of Weierstrass, Jacobi, Riemann, Hilbert, Weyl) and as healthy exposure to the way (some) mathematicians write about mathematics. It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century. It is particularly pleasing that the subject of Riemann surfaces has attracted the attention of a new generation of mathematicians from (newly) adjacent fields (for example, those interested in hyperbolic manifolds and iterations of rational maps) 5/5(1). In this book we present the theory of Riemann surfaces and its many dif­ ferent facets. We begin from the most elementary aspects and try to bring the reader up to the frontier of present-day research. We treat both open and closed surfaces in this .

  Compact Riemann Surfaces book. Read reviews from world’s largest community for readers. Although Riemann surfaces are a time-honoured field, this book is 4/5(3). The theory of Riemann surfaces occupies a very special place in mathematics. It is a culmination of much of traditional calculus, making surprising connections with geometry and arithmetic. It is an extremely useful part of mathematics, knowledge of which is needed by specialists in many other fields. It provides a model for a large number of more recent developments in areas Author: Simon Donaldson. Riemann surfaces There are some surfaces which we are interested in that were studied by Riemann, which surpris-ingly have been named Riemann surfaces. We begin with a definition of such surfaces. Definition A Hausdorff connected topological space X is a Riemann surface if there exists a family f(`j;Uj): j 2 JgFile Size: KB. Stability, Riemann Surfaces, Conformal Mappings is one of the great eBooks available to download from our website. This Complex Functions Theory a-3 text is the third e-book in a series which has previously characterized analytic functions by their complex differentiability and proved Cauchy’s Integral Theorem, as well as provided /5(17).