Handbook of complex analysis, Volume 1: geometric function theory
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Amsterdam
North Holland/Elsevier
2002
|
| Ausgabe: | 1st ed |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers. A collection of independent survey articles in the field of GeometricFunction Theory Existence theorems and qualitative properties of conformal and quasiconformal mappings A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane) Preface -- List of Contributors -- Univalent and multivalent functions (W.K. Hayman) -- Conformal maps at the boundary (Ch. Pommerenke) -- Extremal quasiconformal mapings of the disk (E. Reich) -- Conformal welding (D.H. Hamilton) -- Siegel disks and geometric function theory in the work of Yoccoz (D.H. Hamilton) -- Sufficient confidents for univalence and quasiconformal extendibility of analytic functions (L.A. Aksent'ev, P.L. Shabalin) -- Bounded univalent functions (D.V. Prokhorov) -- The *-function in complex analysis (A. Baernstein II) -- Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domains (A.Z. Grinshpan) -- Circle packing and discrete analytic function theory (K. Stephenson) -- Extreme points and support points (T.H. MacGregory, D.R. Wilken) -- The method of the extremal metric (J.A. Jenkins) -- Universal Teichmuller space (F.P. Gardiner, W.J. Harvey) -- Application of conformal and quasiconformal mappings and their properties in approximation theory (V.V. Andrievskii) -- Author Index -- Subject Index Includes bibliographical references and indexes |
| Beschreibung: | 1 Online-Ressource (1 online resource) |
| ISBN: | 9780444828453 0444828451 |
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| 245 | 1 | 0 | |a Handbook of complex analysis, Volume 1 |b geometric function theory |c edited by R. Kuhnau |
| 246 | 1 | 3 | |a Geometric function theory |
| 250 | |a 1st ed | ||
| 264 | 1 | |a Amsterdam |b North Holland/Elsevier |c 2002 | |
| 300 | |a 1 Online-Ressource (1 online resource) | ||
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| 500 | |a Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers. A collection of independent survey articles in the field of GeometricFunction Theory Existence theorems and qualitative properties of conformal and quasiconformal mappings A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane) | ||
| 500 | |a Preface -- List of Contributors -- Univalent and multivalent functions (W.K. Hayman) -- Conformal maps at the boundary (Ch. Pommerenke) -- Extremal quasiconformal mapings of the disk (E. Reich) -- Conformal welding (D.H. Hamilton) -- Siegel disks and geometric function theory in the work of Yoccoz (D.H. Hamilton) -- Sufficient confidents for univalence and quasiconformal extendibility of analytic functions (L.A. Aksent'ev, P.L. Shabalin) -- Bounded univalent functions (D.V. Prokhorov) -- The *-function in complex analysis (A. Baernstein II) -- Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domains (A.Z. Grinshpan) -- Circle packing and discrete analytic function theory (K. Stephenson) -- Extreme points and support points (T.H. MacGregory, D.R. Wilken) -- The method of the extremal metric (J.A. Jenkins) -- Universal Teichmuller space (F.P. Gardiner, W.J. Harvey) -- Application of conformal and quasiconformal mappings and their properties in approximation theory (V.V. Andrievskii) -- Author Index -- Subject Index | ||
| 500 | |a Includes bibliographical references and indexes | ||
| 650 | 7 | |a Functietheorie |2 gtt | |
| 650 | 4 | |a Geometric function theory | |
| 650 | 4 | |a Fonctions, Theorie geometrique des | |
| 650 | 4 | |a Functietheorie / gtt | |
| 700 | 1 | |a Kuhnau, Reiner |e Sonstige |4 oth | |
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| dewey-full | 515/.9 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.9 |
| dewey-search | 515/.9 |
| dewey-sort | 3515 19 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1st ed |
| format | Electronic eBook |
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| id | DE-604.BV039830249 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:12:19Z |
| institution | BVB |
| isbn | 9780444828453 0444828451 |
| language | English |
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| spelling | Handbook of complex analysis, Volume 1 geometric function theory edited by R. Kuhnau Geometric function theory 1st ed Amsterdam North Holland/Elsevier 2002 1 Online-Ressource (1 online resource) txt rdacontent c rdamedia cr rdacarrier Geometric Function Theory is a central part of Complex Analysis (one complex variable). The Handbook of Complex Analysis - Geometric Function Theory deals with this field and its many ramifications and relations to other areas of mathematics and physics. The theory of conformal and quasiconformal mappings plays a central role in this Handbook, for example a priori-estimates for these mappings which arise from solving extremal problems, and constructive methods are considered. As a new field the theory of circle packings which goes back to P. Koebe is included. The Handbook should be useful for experts as well as for mathematicians working in other areas, as well as for physicists and engineers. A collection of independent survey articles in the field of GeometricFunction Theory Existence theorems and qualitative properties of conformal and quasiconformal mappings A bibliography, including many hints to applications in electrostatics, heat conduction, potential flows (in the plane) Preface -- List of Contributors -- Univalent and multivalent functions (W.K. Hayman) -- Conformal maps at the boundary (Ch. Pommerenke) -- Extremal quasiconformal mapings of the disk (E. Reich) -- Conformal welding (D.H. Hamilton) -- Siegel disks and geometric function theory in the work of Yoccoz (D.H. Hamilton) -- Sufficient confidents for univalence and quasiconformal extendibility of analytic functions (L.A. Aksent'ev, P.L. Shabalin) -- Bounded univalent functions (D.V. Prokhorov) -- The *-function in complex analysis (A. Baernstein II) -- Logarithmic geometry, exponentiation, and coefficient bounds in the theory of univalent functions and nonoverlapping domains (A.Z. Grinshpan) -- Circle packing and discrete analytic function theory (K. Stephenson) -- Extreme points and support points (T.H. MacGregory, D.R. Wilken) -- The method of the extremal metric (J.A. Jenkins) -- Universal Teichmuller space (F.P. Gardiner, W.J. Harvey) -- Application of conformal and quasiconformal mappings and their properties in approximation theory (V.V. Andrievskii) -- Author Index -- Subject Index Includes bibliographical references and indexes Functietheorie gtt Fonctions, Theorie geometrique des Functietheorie / gtt Kuhnau, Reiner Sonstige oth http://www.sciencedirect.com/science/book/9780444828453 Verlag Volltext |
| spellingShingle | Handbook of complex analysis, Volume 1 geometric function theory Functietheorie gtt Geometric function theory Fonctions, Theorie geometrique des Functietheorie / gtt |
| title | Handbook of complex analysis, Volume 1 geometric function theory |
| title_alt | Geometric function theory |
| title_auth | Handbook of complex analysis, Volume 1 geometric function theory |
| title_exact_search | Handbook of complex analysis, Volume 1 geometric function theory |
| title_full | Handbook of complex analysis, Volume 1 geometric function theory edited by R. Kuhnau |
| title_fullStr | Handbook of complex analysis, Volume 1 geometric function theory edited by R. Kuhnau |
| title_full_unstemmed | Handbook of complex analysis, Volume 1 geometric function theory edited by R. Kuhnau |
| title_short | Handbook of complex analysis, Volume 1 |
| title_sort | handbook of complex analysis volume 1 geometric function theory |
| title_sub | geometric function theory |
| topic | Functietheorie gtt Geometric function theory Fonctions, Theorie geometrique des Functietheorie / gtt |
| topic_facet | Functietheorie Geometric function theory Fonctions, Theorie geometrique des Functietheorie / gtt |
| url | http://www.sciencedirect.com/science/book/9780444828453 |
| work_keys_str_mv | AT kuhnaureiner handbookofcomplexanalysisvolume1geometricfunctiontheory AT kuhnaureiner geometricfunctiontheory |