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Classification Theory of Riemann Surfaces
Sario, Leo; Nakai, Mitsuru
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Description for Classification Theory of Riemann Surfaces
Paperback. Series: Grundlehren der Mathematischen Wissenschaften. Num Pages: 470 pages, biography. BIC Classification: PBK. Category: (P) Professional & Vocational. Dimension: 235 x 155 x 24. Weight in Grams: 718.
The purpose of the present monograph is to systematically develop a classification theory of Riemann surfaces. Some first steps will also be taken toward a classification of Riemannian spaces. Four phases can be distinguished in the chronological background: the type problem; general classification; compactifications; and extension to higher dimensions. The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green's functions. The Riemann mapping theorem laid the foundation to classification theory: there are only two conformal equivalence classes of (noncompact) simply connected regions. Over half a century of ... Read more
The purpose of the present monograph is to systematically develop a classification theory of Riemann surfaces. Some first steps will also be taken toward a classification of Riemannian spaces. Four phases can be distinguished in the chronological background: the type problem; general classification; compactifications; and extension to higher dimensions. The type problem evolved in the following somewhat overlapping steps: the Riemann mapping theorem, the classical type problem, and the existence of Green's functions. The Riemann mapping theorem laid the foundation to classification theory: there are only two conformal equivalence classes of (noncompact) simply connected regions. Over half a century of ... Read more
Product Details
Format
Paperback
Publication date
2012
Publisher
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Germany
Number of pages
470
Condition
New
Series
Grundlehren der Mathematischen Wissenschaften
Number of Pages
450
Place of Publication
Berlin, Germany
ISBN
9783642482717
SKU
V9783642482717
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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