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Selected Topics in Convex Geometry

Publisher: 
Birkhäuser
Number of Pages: 
226
Price: 
59.95
ISBN: 
0-8176-4396-6
Date Received: 
Tuesday, October 11, 2005
Reviewable: 
No
Include In BLL Rating: 
No
Maria Moszyńska
Publication Date: 
2006
Format: 
Paperback
Category: 
Textbook

 

* Preface to the Polish Edition

* Preface to the English Edition

* Introduction

Part I:

* Metric Spaces

* Subsets of Euclidean Space

* Basic Properties of Convex Sets

* Transformations of the Space Kn of Compact Convex Sets

* Rounding Theorems

* Convex Polytopes

* Functionals on the Space Kn...The Steiner Theorem

* The Hadwiger Theorems

* Applications of the Hadwiger Theorems

Part II:

* Curvature and Surface Area Measures

* Sets with Positive Reach...Convexity Ring

* Selectors for Convex Bodies

* Polarity

Part III:

* Star Sets...Star Bodies

* Intersection Bodies

* Selectors for Star Bodies

* Exercises to Part I

* Exercises to Part II

* Exercises to Part III

* References

* List of Symbols

* Index

Publish Book: 
Modify Date: 
Thursday, December 29, 2005

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