Lectures on Polytopes: Updated Seventh Printing of the First Edition
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
1995
|
| Schriftenreihe: | Graduate Texts in Mathematics
152 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Based on a graduate course given at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The clear and straightforward presentation features many illustrations, and provides complete proofs for most theorems. The material requires only linear algebra as a prerequisite, but takes the reader quickly from the basics to topics of recent research, including a number of unanswered questions. The lectures introduce the basic facts about polytopes, with an emphasis on the methods that yield the results (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms, and oriented matroids), discuss important examples and elegant constructions (cyclic and neighborly polytopes, zonotopes, Minkowski sums, permutahedra and associhedra, fiber polytopes, and the Lawrence construction), show the excitement of current work in the field (Kalai's new diameter bounds, construction of non-rational polytopes, the Bohne-Dress tiling theorem, the upper-bound theorem), and nonextendable shellings) |
| Beschreibung: | 1 Online-Ressource (XI, 370p. 300 illus) |
| ISBN: | 9781461384311 9780387943657 |
| ISSN: | 0072-5285 |
| DOI: | 10.1007/978-1-4613-8431-1 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
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| dewey-search | 516 |
| dewey-sort | 3516 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4613-8431-1 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9781461384311 9780387943657 |
| issn | 0072-5285 |
| language | English |
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| spelling | Ziegler, Günter M. Verfasser aut Lectures on Polytopes Updated Seventh Printing of the First Edition by Günter M. Ziegler New York, NY Springer New York 1995 1 Online-Ressource (XI, 370p. 300 illus) txt rdacontent c rdamedia cr rdacarrier Graduate Texts in Mathematics 152 0072-5285 Based on a graduate course given at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The clear and straightforward presentation features many illustrations, and provides complete proofs for most theorems. The material requires only linear algebra as a prerequisite, but takes the reader quickly from the basics to topics of recent research, including a number of unanswered questions. The lectures introduce the basic facts about polytopes, with an emphasis on the methods that yield the results (Fourier-Motzkin elimination, Schlegel diagrams, shellability, Gale transforms, and oriented matroids), discuss important examples and elegant constructions (cyclic and neighborly polytopes, zonotopes, Minkowski sums, permutahedra and associhedra, fiber polytopes, and the Lawrence construction), show the excitement of current work in the field (Kalai's new diameter bounds, construction of non-rational polytopes, the Bohne-Dress tiling theorem, the upper-bound theorem), and nonextendable shellings) Mathematics Geometry Mathematik Polytop (DE-588)4175324-0 gnd rswk-swf 1\p (DE-588)4143389-0 Aufgabensammlung gnd-content Polytop (DE-588)4175324-0 s 2\p DE-604 https://doi.org/10.1007/978-1-4613-8431-1 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 | Ziegler, Günter M. Lectures on Polytopes Updated Seventh Printing of the First Edition Mathematics Geometry Mathematik Polytop (DE-588)4175324-0 gnd |
| subject_GND | (DE-588)4175324-0 (DE-588)4143389-0 |
| title | Lectures on Polytopes Updated Seventh Printing of the First Edition |
| title_auth | Lectures on Polytopes Updated Seventh Printing of the First Edition |
| title_exact_search | Lectures on Polytopes Updated Seventh Printing of the First Edition |
| title_full | Lectures on Polytopes Updated Seventh Printing of the First Edition by Günter M. Ziegler |
| title_fullStr | Lectures on Polytopes Updated Seventh Printing of the First Edition by Günter M. Ziegler |
| title_full_unstemmed | Lectures on Polytopes Updated Seventh Printing of the First Edition by Günter M. Ziegler |
| title_short | Lectures on Polytopes |
| title_sort | lectures on polytopes updated seventh printing of the first edition |
| title_sub | Updated Seventh Printing of the First Edition |
| topic | Mathematics Geometry Mathematik Polytop (DE-588)4175324-0 gnd |
| topic_facet | Mathematics Geometry Mathematik Polytop Aufgabensammlung |
| url | https://doi.org/10.1007/978-1-4613-8431-1 |
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