Convexity from the Geometric Point of View
This text gives a comprehensive introduction to the “common core” of convex geometry. Basic concepts and tools which are present in all branches of that field are presented with a highly didactic approach. Mainly directed to graduate and advanced undergraduates, the book is self-contained in such a...
Bewaard in:
| Hoofdauteurs: | , , |
|---|---|
| Coauteur: | |
| Formaat: | Elektronisch E-boek |
| Taal: | Engels |
| Gepubliceerd in: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2024.
|
| Editie: | 1st ed. 2024. |
| Reeks: | Cornerstones,
|
| Onderwerpen: | |
| Online toegang: | https://doi.org/10.1007/978-3-031-50507-2 |
| Tags: |
Voeg label toe
Geen labels, Wees de eerste die dit record labelt!
|
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-031-50507-2 | ||
| 003 | DE-He213 | ||
| 005 | 20260810114937.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 240714s2024 sz | o |||| 0|eng d | ||
| 020 | |a 9783031505072 |9 978-3-031-50507-2 | ||
| 024 | 7 | |a 10.1007/978-3-031-50507-2 |2 doi | |
| 050 | 4 | |a QA639.5-640.7 | |
| 050 | 4 | |a QA640.7-640.77 | |
| 072 | 7 | |a PBM |2 bicssc | |
| 072 | 7 | |a PBD |2 bicssc | |
| 072 | 7 | |a MAT012020 |2 bisacsh | |
| 072 | 7 | |a PBM |2 thema | |
| 072 | 7 | |a PBD |2 thema | |
| 082 | 0 | 4 | |a 516 |2 23 |
| 100 | 1 | |a Balestro, Vitor. |e author. |0 (orcid)0000-0002-4833-5454 |1 https://orcid.org/0000-0002-4833-5454 |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Convexity from the Geometric Point of View |h [electronic resource] / |c by Vitor Balestro, Horst Martini, Ralph Teixeira. |
| 250 | |a 1st ed. 2024. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Birkhäuser, |c 2024. | |
| 300 | |a 1 online resource (XIX, 1184 p. 86 illus.). |b 13 illus. in color. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Cornerstones, |x 2197-1838 | |
| 505 | 0 | |a Preface -- 1. Convex functions -- 2. Convex sets -- 3. A first look into polytopes -- 4. Volume and area -- 5. Classical inequalities -- 6. Mixed volumes- 7. Mixed surface area measures -- 8. The Alexandrov-Frechel inequality -- 9. Affine convex geometry Part 1 -- 10. Affine convex geometry Part 2 -- 11. Further selected topics.-12. Historical steps of development of convexity as a field -- A. Measure theory for convex geometers -- References -- Index. | |
| 520 | |a This text gives a comprehensive introduction to the “common core” of convex geometry. Basic concepts and tools which are present in all branches of that field are presented with a highly didactic approach. Mainly directed to graduate and advanced undergraduates, the book is self-contained in such a way that it can be read by anyone who has standard undergraduate knowledge of analysis and of linear algebra. Additionally, it can be used as a single reference for a complete introduction to convex geometry, and the content coverage is sufficiently broad that the reader may gain a glimpse of the entire breadth of the field and various subfields. The book is suitable as a primary text for courses in convex geometry and also in discrete geometry (including polytopes). It is also appropriate for survey type courses in Banach space theory, convex analysis, differential geometry, and applications of measure theory. Solutions to all exercises are available to instructors who adopt the text for coursework. Most chapters use the same structure with the first part presenting theory and the next containing a healthy range of exercises. Some of the exercises may even be considered as short introductions to ideas which are not covered in the theory portion. Each chapter has a notes section offering a rich narrative to accompany the theory, illuminating the development of ideas, and providing overviews to the literature concerning the covered topics. In most cases, these notes bring the reader to the research front. The text includes many figures that illustrate concepts and some parts of the proofs, enabling the reader to have a better understanding of the geometric meaning of the ideas. An appendix containing basic (and geometric) measure theory collects useful information for convex geometers. | ||
| 588 | |a Print version record. | ||
| 650 | 0 | |a Convex geometry . | |
| 650 | 0 | |a Discrete geometry. | |
| 650 | 1 | 4 | |a Convex and Discrete Geometry. |
| 700 | 1 | |a Martini, Horst. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Teixeira, Ralph. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783031505065 |
| 776 | 0 | 8 | |i Printed edition: |z 9783031505089 |
| 830 | 0 | |a Cornerstones, |x 2197-1838 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/978-3-031-50507-2 |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||