Geometric Inequalities:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1988
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
285 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Geometric inequalities have a wide range of applications- within geometry itself as well as beyond its limits. The theory of functions of a complex variable, the calculus of variations in the large, embedding theorems of function spaces, a priori estimates for solutions of differential equations yield many such examples. We have attempted to pick out the most general inequalities and, in model cases, we exhibit effective geometrie constructions and the means of proving such inequalities. A substantial part of this book deals with isoperimetric inequalities and their generalizations, but, for all their variety, they do not exhaust the contents of the book. The objects under consideration, as a rule, are quite general. They are curves, surfaces and other manifolds, embedded in an underlying space or supplied with an intrinsic metric. Geometric inequalities, used for different purposes, appear in different contexts- surrounded by a variety of technical machinery, with diverse requirements for the objects under study. Therefore the methods of proof will differ not only from chapter to chapter, but even within individual sections. An inspection of monographs on algebraic and functional inequalities ([HLP], [BeB], [MV], [MM]) shows that this is typical for books of this type |
| Beschreibung: | 1 Online-Ressource (XIV, 334 p) |
| ISBN: | 9783662074411 9783642057243 |
| DOI: | 10.1007/978-3-662-07441-1 |
Internformat
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| 490 | 1 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 285 | |
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Datensatz im Suchindex
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| author_sort | Burago, Yuriĭ Dmitrievich |
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| bvnumber | BV042423395 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA ZDB-2-BAE |
| ctrlnum | (OCoLC)1165554055 (DE-599)BVBBV042423395 |
| dewey-full | 516.36 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.36 |
| dewey-search | 516.36 |
| dewey-sort | 3516.36 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-07441-1 |
| format | Electronic eBook |
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| id | DE-604.BV042423395 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T06:38:46Z |
| institution | BVB |
| isbn | 9783662074411 9783642057243 |
| language | English |
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| publishDate | 1988 |
| publishDateSearch | 1988 |
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| publisher | Springer Berlin Heidelberg |
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| series | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| series2 | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |
| spelling | Burago, Yuriĭ Dmitrievich Verfasser aut Geometric Inequalities by Yuriĭ Dmitrievich Burago, Viktor Abramovich Zalgaller Berlin, Heidelberg Springer Berlin Heidelberg 1988 1 Online-Ressource (XIV, 334 p) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 285 Geometric inequalities have a wide range of applications- within geometry itself as well as beyond its limits. The theory of functions of a complex variable, the calculus of variations in the large, embedding theorems of function spaces, a priori estimates for solutions of differential equations yield many such examples. We have attempted to pick out the most general inequalities and, in model cases, we exhibit effective geometrie constructions and the means of proving such inequalities. A substantial part of this book deals with isoperimetric inequalities and their generalizations, but, for all their variety, they do not exhaust the contents of the book. The objects under consideration, as a rule, are quite general. They are curves, surfaces and other manifolds, embedded in an underlying space or supplied with an intrinsic metric. Geometric inequalities, used for different purposes, appear in different contexts- surrounded by a variety of technical machinery, with diverse requirements for the objects under study. Therefore the methods of proof will differ not only from chapter to chapter, but even within individual sections. An inspection of monographs on algebraic and functional inequalities ([HLP], [BeB], [MV], [MM]) shows that this is typical for books of this type Mathematics Discrete groups Global differential geometry Differential Geometry Convex and Discrete Geometry Mathematik Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Geometrische Ungleichung (DE-588)4705164-4 gnd rswk-swf Ungleichung (DE-588)4139098-2 gnd rswk-swf Ungleichung (DE-588)4139098-2 s Differentialgeometrie (DE-588)4012248-7 s 1\p DE-604 Geometrische Ungleichung (DE-588)4705164-4 s 2\p DE-604 Zalgaller, Viktor Abramovich Sonstige oth Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics 285 (DE-604)BV049758308 285 https://doi.org/10.1007/978-3-662-07441-1 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Burago, Yuriĭ Dmitrievich Geometric Inequalities Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics Mathematics Discrete groups Global differential geometry Differential Geometry Convex and Discrete Geometry Mathematik Differentialgeometrie (DE-588)4012248-7 gnd Geometrische Ungleichung (DE-588)4705164-4 gnd Ungleichung (DE-588)4139098-2 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4705164-4 (DE-588)4139098-2 |
| title | Geometric Inequalities |
| title_auth | Geometric Inequalities |
| title_exact_search | Geometric Inequalities |
| title_full | Geometric Inequalities by Yuriĭ Dmitrievich Burago, Viktor Abramovich Zalgaller |
| title_fullStr | Geometric Inequalities by Yuriĭ Dmitrievich Burago, Viktor Abramovich Zalgaller |
| title_full_unstemmed | Geometric Inequalities by Yuriĭ Dmitrievich Burago, Viktor Abramovich Zalgaller |
| title_short | Geometric Inequalities |
| title_sort | geometric inequalities |
| topic | Mathematics Discrete groups Global differential geometry Differential Geometry Convex and Discrete Geometry Mathematik Differentialgeometrie (DE-588)4012248-7 gnd Geometrische Ungleichung (DE-588)4705164-4 gnd Ungleichung (DE-588)4139098-2 gnd |
| topic_facet | Mathematics Discrete groups Global differential geometry Differential Geometry Convex and Discrete Geometry Mathematik Differentialgeometrie Geometrische Ungleichung Ungleichung |
| url | https://doi.org/10.1007/978-3-662-07441-1 |
| volume_link | (DE-604)BV049758308 |
| work_keys_str_mv | AT buragoyuriidmitrievich geometricinequalities AT zalgallerviktorabramovich geometricinequalities |