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Quantifier Elimination and Cylindrical Algebraic Decomposition (Texts & Monographs in Symbolic Computation) - Softcover

 
9783211827949: Quantifier Elimination and Cylindrical Algebraic Decomposition (Texts & Monographs in Symbolic Computation)
Softcover
ISBN 10: 3211827943 ISBN 13: 9783211827949
Publisher: Springer, 1998

Synopsis

George Collins’ discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.g. robot motion), also stimulating fundamental research in computer algebra over the past three decades. This volume is a state-of-the-art collection of important papers on CAD and QE and on the related area of algorithmic aspects of real geometry. It contains papers from a symposium held in Linz in 1993, reprints of seminal papers from the area including Tarski’s landmark paper as well as a survey outlining the developments in CAD based QE that have taken place in the last twenty years.

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Review

"... The book is a nearly complete presentation of the history of the developement of CAD algorithms and its applications, and is suitable for the beginner as well as the expert ...” Zentralblatt für Mathematik

Synopsis

George Collins' discovery of Cylindrical Algebraic Decomposition (CAD) as a method for Quantifier Elimination (QE) for the elementary theory of real closed fields brought a major breakthrough in automating mathematics with recent important applications in high-tech areas (e.g. robot motion), also stimulating fundamental research in computer algebra over the past three decades. This volume is a state-of-the-art collection of important papers on CAD and QE and on the related area of algorithmic aspects of real geometry. It contains papers from a symposium held in Linz in 1993, reprints of seminal papers from the area including Tarskis landmark paper as well as a survey outlining the developments in CAD based QE that have taken place in the last twenty years.

"About this title" may belong to another edition of this title.

Publisher
Springer
Publication date
1998
Language
English
ISBN 10 
3211827943
ISBN 13 
9783211827949
Binding
Paperback
Number of pages
450
Editor
Caviness Bob F., Johnson Jeremy R.