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Facing up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes
eBook ISBN: | 978-0-8218-9955-7 |
Product Code: | MEMO/1/154.E |
List Price: | $19.00 |
MAA Member Price: | $17.10 |
AMS Member Price: | $15.20 |
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Facing up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes
eBook ISBN: | 978-0-8218-9955-7 |
Product Code: | MEMO/1/154.E |
List Price: | $19.00 |
MAA Member Price: | $17.10 |
AMS Member Price: | $15.20 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 1; 1975; 102 ppMSC: Primary 05
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Table of Contents
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Chapters
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Introduction to arrangements
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Part I. How to count the faces of an arrangement of hyperplanes
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1. First facts about arrangements
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2. The main theorems
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3. Quick proofs (Eulerian method)
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4. The long proofs (Tutte–Grothendieck method)
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5. A collocation of corollaries
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6. Points and zonotopes
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Part II. A study of Euclidean arrangements with particular reference to bounded faces
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7. The beta theorem
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8. The central decomposition
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9. The dimension of the bounded space
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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