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Algorithms in Real Algebraic Geometry

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Algorithms in Real Algebraic Geometry Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

The algorithmic problems of real algebraic geometry occur in many contexts. In this book, 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. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.

Product Details

ISBN:
9783540009733
Author:
Basu, Saugata
Publisher:
Springer
Author:
Roy, Marie-Franoise
Author:
Pollack, Richard
Location:
New York
Subject:
Road maps
Subject:
Algorithms
Subject:
Geometry - Algebraic
Subject:
real root counting
Subject:
semi-algebraic set
Subject:
polynomial system solving
Subject:
quantifier elimination
Subject:
Mathematics-Algebraic Geometry
Edition Number:
1
Edition Description:
Includes bibliographical references and index.
Series:
Algorithms and computation in mathematics ;
Series Volume:
32v. 10
Publication Date:
20030131
Binding:
Hardcover
Language:
English
Illustrations:
Y
Pages:
616
Dimensions:
235 x 155 mm 1040 gr

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Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Geometry » Algebraic Geometry

Algorithms in Real Algebraic Geometry New Hardcover
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Product details 616 pages Springer - English 9783540009733 Reviews:
"Synopsis" by , The algorithmic problems of real algebraic geometry occur in many contexts. In this book, 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. Researchers in computer science and engineering will find the required mathematical background. This self-contained book is accessible to graduate and undergraduate students.
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