An edition of Algorithms in Real Algebraic Geometry (2003)

Algorithms in Real Algebraic Geometry

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Cover of: Algorithms in Real Algebraic Geometry by Saugata Basu
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Last edited by ImportBot
February 27, 2022 | History
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An edition of Algorithms in Real Algebraic Geometry (2003)

Algorithms in Real Algebraic Geometry

by

  • 0 Ratings
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  • 0 Currently reading
  • 0 Have read

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.

Publish Date
Publisher
Springer Berlin Heidelberg
Language
English
Pages
602

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Previews available in: English

Subjects
Mathematics, Algebra, Algorithms, Data processing, Geometry, algebraic

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Edition Availability
Cover of: Algorithms in Real Algebraic Geometry
Algorithms in Real Algebraic Geometry: Algorithms and Computation in Mathematics Vol. 10
Nov 19, 2010, Springer
paperback
Libraries near you: WorldCat
Cover of: Algorithms in Real Algebraic Geometry
Algorithms in Real Algebraic Geometry
2003, Springer Berlin Heidelberg
electronic resource / in English
  • Not in Library
Libraries near you: WorldCat

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Book Details

Table of Contents

Introduction
1 Algebraically Closed Fields
2 Real Closed Fields
3 Semi-Algebraic Sets
4 Algebra
5 Decomposition of Semi-Algebraic Sets
6 Elements of Topology
7 Quantitative semi-algebraic geometry
8 Complexity of Basic Algorithms
9 Cauchy index and applications
10 Real Roots
11 Polynomial System Solving
12 Cylindrical decomposition algorithm
13 Existential Theory of the Reals
14 Quantifier Elimination
15 Computing Roadmaps and Connected Components of Algebraic Sets
16 Computing roadmaps and connected components of Semi-algebraic sets
References
Index.

Edition Notes

Online full text is restricted to subscribers.

Also available in print.

Mode of access: World Wide Web.

Published in
Berlin, Heidelberg
Series
Algorithms and Computation in Mathematics -- 10, Algorithms and Computation in Mathematics -- 10

Classifications

Dewey Decimal Class
516.35
Library of Congress
QA564-609

The Physical Object

Format
[electronic resource] /
Pagination
1 online resource (viii, 602 p.)
Number of pages
602

ID Numbers

Open Library
OL27016037M
Internet Archive
algorithmsrealal00basu_521
ISBN 10
3662053578, 3662053551
ISBN 13
9783662053577, 9783662053553
OCLC/WorldCat
851368312

Source records

Internet Archive item record
Better World Books record

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History

Download catalog record: RDF / JSON / OPDS | Wikipedia citation
February 27, 2022 Edited by ImportBot import existing book
June 28, 2019 Created by MARC Bot Imported from Internet Archive item record