Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
Language: English
Published by Forgotten Books, 2018
- Softcover
- New

Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
AbeBooks seller since April 7, 2005
Condition: New
US$ 27.10
Quantity: 15 available
Add to basketItem description from seller
New Book. Shipped from UK. Established seller since 2000.
Seller Inventory # LW-9781332870813
- Title
- Constructive Hopf's Theorem, or How to Untangle Closed Planar Curves Classic Reprint
- Author
- K. Melhorn
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- PAP
- Language
- English
- ISBN 10
- 1332870813
- ISBN 13
- 9781332870813
- Item weight
- 110 grams
Unraveling closed planar curves, constructively.
This book presents a practical take on Hopf’s theorem for polygons. It shows how to move from abstract results to a concrete, step-by-step method you can implement.
In clear, accessible terms, you’ll learn how polygons can be transformed into a standard form and how a linear-time algorithm finds those steps. The approach builds a unique normal form for each class and demonstrates why a quadratic number of moves suffices to reach it.- How to model closed curves as polygons and define equivalent transformations
- How to reduce any polygon to a canonical “star” form on a circle
- A linear-time algorithm to compute a sequence of transformations
"Synopsis" may belong to another edition of this title.
About the Author
Prof. Peter Sanders is a Professor of Computer Science at the University of Karlsruhe. A leading researcher in the area of theoretical and experimental algorithm analysis, in particular related to efficient algorithms for parallel processing and communication in networks, his responsibilities include organizing the European Symposium on Algorithms in Karlsruhe in 2008.
The authors have considerable experience teaching on the topic of algorithms and working on related industrial projects.
"About the title" may belong to another edition of this title.
PBShop.store US
Wood Dale, IL, U.S.A.
AbeBooks seller since April 7, 2005
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