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LEADER: 02618nam a22004935a 4500
001 013843396-8
005 20131206203627.0
008 130107s1994 ne | s ||0| 0|eng d
020 $a9789401711043
020 $a9789401711043
020 $a9789048144433
024 7 $a10.1007/978-94-017-1104-3$2doi
035 $a(Springer)9789401711043
040 $aSpringer
050 4 $aQA641-670
072 7 $aPBMP$2bicssc
072 7 $aMAT012030$2bisacsh
082 04 $a516.36$223
100 1 $aYang, Kichoon,$eauthor.
245 10 $aComplete Minimal Surfaces of Finite Total Curvature /$cby Kichoon Yang.
264 1 $aDordrecht :$bSpringer Netherlands :$bImprint: Springer,$c1994.
300 $aVIII, 160 p.$bonline resource.
336 $atext$btxt$2rdacontent
337 $acomputer$bc$2rdamedia
338 $aonline resource$bcr$2rdacarrier
347 $atext file$bPDF$2rda
490 1 $aMathematics and Its Applications ;$v294
520 $aThis monograph is based on the idea that the study of complete minimal surfaces in R3 of finite total curvature amounts to the study of linear series on algebraic curves. A detailed account of the Puncture Number Problem, which seeks to determine all possible underlying conformal structures for immersed complete minimal surfaces of finite total curvature, is given here for the first time in book form. Several recent results on the puncture number problem are given along with numerous examples. The emphasis is on manufacturing minimal surfaces from a given Riemann surface using the theory of divisions and residue calculus. Relevant results from algebraic geometry are collected in Chapter 1, which makes the book nearly self-contained. A brief survey of minimal surface theory in general is given in Chapter 2. Chapter 3 includes Mo's recent moduli construction. For graduate students and research mathematicians in differential geometry, function theory and algebraic curves, as well as for those working in materials science or crystallography.
650 20 $aCrystallography.
650 20 $aGeometry, Algebraic.
650 20 $aFunctions of complex variables.
650 20 $aGeometry, Differential.
650 10 $aMathematics.
650 0 $aSurfaces (Physics)
650 0 $aMathematics.
650 0 $aGeometry, algebraic.
650 0 $aFunctions of complex variables.
650 0 $aGlobal differential geometry.
650 0 $aCrystallography.
650 24 $aCharacterization and Evaluation of Materials.
776 08 $iPrinted edition:$z9789048144433
830 0 $aMathematics and Its Applications ;$v294.
988 $a20131119
906 $0VEN