Selected topics in convex geometry
The field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those topics in convex geometry that are concerned with Euclidean space, is enriched by numerous examples, illustrations, and exercises, with a good biblio...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Livre numérique |
| Sprache: | Anglais |
| Veröffentlicht: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Ausgabe: | 1st ed. 2006. |
| Schlagworte: | |
| Online Zugang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Anmerkung: |
Description d'après consultation du 22 avril 2011 Trad. de : "Geometria zbiorów wypukłych, zagadnienia wybrane" Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Selected topics in convex geometry, Maria Moszyńska, Boston, Birkhäuser, 2006, 1 vol. (XVI-226 p.), 0-8176-4396-6 |
| LEADER | 03935nam a22004217a 4500 | ||
|---|---|---|---|
| 001 | 938874 | ||
| 008 | 080410q2000 xxe ||| |||| 00| 0 eng d | ||
| 009 | PPN123147182 | ||
| 020 | |a 0817644512 | ||
| 020 | |a 9780817644512 | ||
| 041 | 0 | |a eng | |
| 082 | |a 516/.08 | ||
| 084 | |a 52-01. 2000 | ||
| 084 | |a 52A20. 2000 | ||
| 084 | |a 52B11. 2000 | ||
| 100 | 1 | |a Moszyńska, Maria. | |
| 245 | 1 | 0 | |a Selected topics in convex geometry |c Maria Moszynska. |
| 250 | |a 1st ed. 2006. | ||
| 260 | |a Boston, MA : |b Birkhäuser Boston. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 500 | |a Description d'après consultation du 22 avril 2011 | ||
| 500 | |a Trad. de : "Geometria zbiorów wypukłych, zagadnienia wybrane" | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. p. [217]-220. Index | ||
| 505 | 1 | |a I Metric Spaces Subsets of Euclidean Space Basic Properties of Convex Sets Transformations of the Space Kn of Compact Convex Sets Rounding Theorems Convex Polytopes Functionals on the Space Kn. The Steiner Theorem The Hadwiger Theorems Applications of the Hadwiger Theorems II Curvature and Surface Area Measures Sets with positive reach. Convexity ring Selectors for Convex Bodies Polarity III Star Sets. Star Bodies Intersection Bodies Selectors for Star Bodies | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a The field of convex geometry has become a fertile subject of mathematical activity in the past few decades. This exposition, examining in detail those topics in convex geometry that are concerned with Euclidean space, is enriched by numerous examples, illustrations, and exercises, with a good bibliography and index. The theory of intrinsic volumes for convex bodies, along with the Hadwiger characterization theorems, whose proofs are based on beautiful geometric ideas such as the rounding theorems and the Steiner formula, are treated in Part 1. In Part 2 the reader is given a survey on curvature and surface area measures and extensions of the class of convex bodies. Part 3 is devoted to the important class of star bodies and selectors for convex and star bodies, including a presentation of two famous problems of geometric tomography: the Shephard problem and the Busemann Petty problem. Selected Topics in Convex Geometry requires of the reader only a basic knowledge of geometry, linear algebra, analysis, topology, and measure theory. The book can be used in the classroom setting for graduates courses or seminars in convex geometry, geometric and convex combinatorics, and convex analysis and optimization. Researchers in pure and applied areas will also benefit from the book | ||
| 650 | |a Géométrie convexe | ||
| 765 | 0 | |t Geometria zbiorów wypukłych, zagadnienia wybrane | |
| 776 | 0 | |0 095417214 |t Selected topics in convex geometry |f Maria Moszyńska |c Boston |n Birkhäuser |d 2006 |p 1 vol. (XVI-226 p.) |z 0-8176-4396-6 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/0-8176-4451-2 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-MRB0K2X5-Q |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747888655 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/0-8176-4451-2 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750901705 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/0-8176-4451-2 |z Accès INSA CVL | |
| 997 | |0 938874 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||