GERMAN

Algorithms in Real Algebraic Geometry

By Saugata Basu , Richard Pollack , Marie-Francoise Roy

Book information

Publisher
Springer
Year
2003
ISBN
3540009736, 9783540009733
Open Library ID
OL9653533M
Language
german
Format
PDF
Filesize
297 kB (303718 bytes)
Series
Algorithms and Computation in Mathematics, V. 10
Edition
1
Pages
23\23
Library
demonoid.me
Time added
2011-04-11 19:55:47

Description

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts. In this first-ever graduate textbook on the algorithmic aspects of real algebraic geometry, the main ideas and techniques presented form a coherent and rich body of knowledge, linked to many areas of mathematics and computing. Mathematicians already aware of real algebraic geometry will find relevant information about the algorithmic aspects, and researchers in computer science and engineering will find the required mathematical background. Being self-contained the book is accessible to graduate students and even, for invaluable parts of it, to undergraduate students.

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