Lectures on convex sets:
"The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the -dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be...
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
2019
|
| Edition: | 2nd ed |
| Subjects: | |
| Online Access: | UBY01 Volltext |
| Summary: | "The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the -dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non-geometers. It can be a source for independent study and a reference book for researchers in academia. The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions."--Publisher's website |
| Item Description: | Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader |
| Physical Description: | 1 online resource (612 pages) illustrations |
| ISBN: | 9789811202124 |
Staff View
MARC
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| 100 | 1 | |a Soltan, Valeriu |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Lectures on convex sets |c Valeriu Soltan |
| 250 | |a 2nd ed | ||
| 264 | 1 | |a Singapore |b World Scientific |c 2019 | |
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| 505 | 8 | |a The affine structure of Rn -- Convex sets -- Convex hulls -- Cones and conic hulls -- Recession directions -- Closedness conditions -- Cone polarity and normal directions -- Bounds, supports, and asymptotes -- Separation properties -- Extreme structure of convex sets -- Exposed structure of convex sets -- Polyhedra -- Solutions to problems | |
| 505 | 8 | |a Includes bibliographical references and indexes | |
| 520 | |a "The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the -dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non-geometers. It can be a source for independent study and a reference book for researchers in academia. The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions."--Publisher's website | ||
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Record in the Search Index
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| author | Soltan, Valeriu |
| author_facet | Soltan, Valeriu |
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| author_sort | Soltan, Valeriu |
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| bvnumber | BV046807619 |
| collection | ZDB-124-WOP |
| contents | The affine structure of Rn -- Convex sets -- Convex hulls -- Cones and conic hulls -- Recession directions -- Closedness conditions -- Cone polarity and normal directions -- Bounds, supports, and asymptotes -- Separation properties -- Extreme structure of convex sets -- Exposed structure of convex sets -- Polyhedra -- Solutions to problems Includes bibliographical references and indexes |
| ctrlnum | (ZDB-124-WOP)000011328 (OCoLC)1190675229 (DE-599)BVBBV046807619 |
| edition | 2nd ed |
| format | Electronic eBook |
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| id | DE-604.BV046807619 |
| illustrated | Illustrated |
| index_date | 2024-07-03T14:58:00Z |
| indexdate | 2024-07-10T08:54:24Z |
| institution | BVB |
| isbn | 9789811202124 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032216244 |
| oclc_num | 1190675229 |
| open_access_boolean | |
| owner | DE-706 |
| owner_facet | DE-706 |
| physical | 1 online resource (612 pages) illustrations |
| psigel | ZDB-124-WOP |
| publishDate | 2019 |
| publishDateSearch | 2019 |
| publishDateSort | 2019 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Soltan, Valeriu Verfasser aut Lectures on convex sets Valeriu Soltan 2nd ed Singapore World Scientific 2019 1 online resource (612 pages) illustrations txt rdacontent c rdamedia cr rdacarrier Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader The affine structure of Rn -- Convex sets -- Convex hulls -- Cones and conic hulls -- Recession directions -- Closedness conditions -- Cone polarity and normal directions -- Bounds, supports, and asymptotes -- Separation properties -- Extreme structure of convex sets -- Exposed structure of convex sets -- Polyhedra -- Solutions to problems Includes bibliographical references and indexes "The book provides a self-contained and systematic treatment of algebraic and topological properties of convex sets in the -dimensional Euclidean space. It benefits advanced undergraduate and graduate students with various majors in mathematics, optimization, and operations research. It may be adapted as a primary book or an additional text for any course in convex geometry or convex analysis, aimed at non-geometers. It can be a source for independent study and a reference book for researchers in academia. The second edition essentially extends and revises the original book. Every chapter is rewritten, with many new theorems, examples, problems, and bibliographical references included. It contains three new chapters and 100 additional problems with solutions."--Publisher's website Convex sets Konvexe Geometrie (DE-588)4407260-0 gnd rswk-swf Electronic books Konvexe Geometrie (DE-588)4407260-0 s DE-604 Erscheint auch als Druck-Ausgabe 9789811202117 Erscheint auch als Druck-Ausgabe 9789811203510 https://www.worldscientific.com/worldscibooks/10.1142/11328 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Soltan, Valeriu Lectures on convex sets The affine structure of Rn -- Convex sets -- Convex hulls -- Cones and conic hulls -- Recession directions -- Closedness conditions -- Cone polarity and normal directions -- Bounds, supports, and asymptotes -- Separation properties -- Extreme structure of convex sets -- Exposed structure of convex sets -- Polyhedra -- Solutions to problems Includes bibliographical references and indexes Convex sets Konvexe Geometrie (DE-588)4407260-0 gnd |
| subject_GND | (DE-588)4407260-0 |
| title | Lectures on convex sets |
| title_auth | Lectures on convex sets |
| title_exact_search | Lectures on convex sets |
| title_exact_search_txtP | Lectures on convex sets |
| title_full | Lectures on convex sets Valeriu Soltan |
| title_fullStr | Lectures on convex sets Valeriu Soltan |
| title_full_unstemmed | Lectures on convex sets Valeriu Soltan |
| title_short | Lectures on convex sets |
| title_sort | lectures on convex sets |
| topic | Convex sets Konvexe Geometrie (DE-588)4407260-0 gnd |
| topic_facet | Convex sets Konvexe Geometrie |
| url | https://www.worldscientific.com/worldscibooks/10.1142/11328 |
| work_keys_str_mv | AT soltanvaleriu lecturesonconvexsets |