Algorithms in Real Algebraic Geometry
Language: English
Published by Springer, 2003
- Hardcover
- Used
Seller: Better World Books, Mishawaka, IN, U.S.A.Better World Books
AbeBooks seller since August 3, 2006
Condition: Used - Very good
US$ 67.46
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Former library copy. Pages intact with possible writing/highlighting. Binding strong with minor wear. Dust jackets/supplements may not be included. Includes library markings. Stock photo provided. Product includes identifying sticker. Better World Books: Buy Books. Do Good.
Seller Inventory # 68668121-6
- Title
- Algorithms in Real Algebraic Geometry
- Author
- Basu, Saugata, Pollack, Richard, Roy, Marie-Francoise
- Publisher
- Springer
- Publication year
- 2003
- Condition
- Very Good
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3540009736
- ISBN 13
- 9783540009733
- Item weight
- 2.293 pounds
- Dimensions
- N/A
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" may belong to another edition of this title.
From the Back Cover
The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering. 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.
This revised second edition contains several recent results, notably on discriminants of symmetric matrices, real root isolation, global optimization, quantitative results on semi-algebraic sets and the first single exponential algorithm computing their first Betti number. An index of notation has also been added.
"About the title" may belong to another edition of this title.
Better World Books
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