Description |
xvi, 466 pages : illustrations ; 25 cm |
Series |
Graduate texts in mathematics ; 221 |
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Graduate texts in mathematics ; 221
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Contents |
1. Notation and prerequisites -- 2. Convex sets -- 3. Polytopes -- 4. Examples -- 5. Fundamental properties and constructions -- 6. Polytopes with few vertices -- 7. Neighborly polytopes -- 8. Euler's relation -- 9. Analogues of Euler's relation -- 10. Extremal problems concerning numbers of faces -- 11. Properties of boundary complexes -- 12. k-Equivalence of polytopes -- 13. 3-Polytopes -- 14. Angle-sums relations; the Steiner point -- 15. Addition and decomposition of polytopes / G. C. Shephard -- 16. Diameters of polytopes / Victor Klee -- 17. Long paths and circuits on polytopes / Victor Klee -- 18. Arrangements of hyperplanes -- 19. Concluding remarks |
Notes |
Includes index |
Bibliography |
Includes bibliographical references and index |
Notes |
English |
Subject |
Convex polytopes.
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Author |
Ziegler, Günter M.
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Klee, Victor L
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Kaibel, Volker.
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LC no. |
2003042435 |
ISBN |
0387004246 : |
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0387404090 paperback |
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