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Facing up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes
 
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
Facing up to Arrangements: Face-Count Formulas for Partitions of Space by Hyperplanes
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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
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 11975; 102 pp
    MSC: Primary 05
  • Table of Contents
     
     
    • 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
  • Requests
     
     
    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
Volume: 11975; 102 pp
MSC: Primary 05
  • 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
Please select which format for which you are requesting permissions.