Facing up to arrangements : [electronic resource] face-count formulas for partitions of space by hyperplanes / Thomas Zaslavsky.

By: Zaslavsky, ThomasMaterial type: TextTextSeries: Memoirs of the American Mathematical Society ; no. 154.Publication details: Providence : American Mathematical Society, 1975Description: 1 online resource (vii, 102 p. : ill.)ISBN: 9780821899557 (online)Subject(s): Combinatorial geometry | Combinatorial enumeration problems | Lattice theoryAdditional physical formats: Facing up to arrangements :DDC classification: 510/.8 s | 516/.13 LOC classification: QA3 | .A57 no. 154 | QA167Online resources: Contents | Contents
Contents:
Introduction to arrangements Part I. How to count the faces of an arrangement of hyperplanes 1. First facts about arrangements 2. The main theorems 3. Quick proofs (Eulerian method) 4. The long proofs (Tutte-Grothendieck method) 5. A collocation of corollaries 6. Points and zonotopes Part II. A study of Euclidean arrangements with particular reference to bounded faces 7. The beta theorem 8. The central decomposition 9. The dimension of the bounded space
Item type: E-BOOKS
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Link to resource Available EBK12607

"Volume 1, issue 1."

Substantially the author's thesis, Massachusetts Institute of Technology.

Bibliography: p. 97-99.

Introduction to arrangements Part I. How to count the faces of an arrangement of hyperplanes 1. First facts about arrangements 2. The main theorems 3. Quick proofs (Eulerian method) 4. The long proofs (Tutte-Grothendieck method) 5. A collocation of corollaries 6. Points and zonotopes Part II. A study of Euclidean arrangements with particular reference to bounded faces 7. The beta theorem 8. The central decomposition 9. The dimension of the bounded space

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Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2012

Mode of access : World Wide Web

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