Quantifier Elimination and Cylindrical Algebraic Decomposition

Johnson Jeremy R. Caviness Bob F.

ISBN 10: 3211827943 / ISBN 13: 9783211827949

Editore: Springer, 1998

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Codice articolo 182097213

Dati bibliografici

• Titolo: Quantifier Elimination and Cylindrical Algebraic Decomposition
• Editore: Springer
• Data di pubblicazione: 1998
• Lingua: Inglese
• ISBN 10: 3211827943
• ISBN 13: 9783211827949
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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.

Recensione

"... 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