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Algorithms in real algebraic geometry

Author: Saugata Basu; Richard D Pollack; Marie-Françoise Roy
Publisher: Berlin : Springer, 2006.
Series: Algorithms and computation in mathematics, vol. 10.
Edition/Format:  eBook : Document : English : 2nd edView all editions and formats
Summary:

This is the first graduate textbook on the algorithmic aspects of real algebraic geometry. Mathematicians will find relevant information about the algorithmic aspects. Being self-contained the book  Read more...

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Additional Physical Format: Algorithms in real algebraic geometry
(NL-LeOCL)293866821
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Saugata Basu; Richard D Pollack; Marie-Françoise Roy
ISBN: 9783540330998 3540330992 9783540330981 3540330984
OCLC Number: 460817435
Description: 1 online resource (IX, 662 p.) : illustrations
Contents: Algebraically Closed Fields.- Real Closed Fields.- Semi-Algebraic Sets.- Algebra.- Decomposition of Semi-Algebraic Sets.- Elements of Topology.- Quantitative Semi-algebraic Geometry.- Complexity of Basic Algorithms.- Cauchy Index and Applications.- Real Roots.- Cylindrical Decomposition Algorithm.- Polynomial System Solving.- Existential Theory of the Reals.- Quantifier Elimination.- Computing Roadmaps and Connected Components of Algebraic Sets.- Computing Roadmaps and Connected Components of Semi-algebraic Sets.
Series Title: Algorithms and computation in mathematics, vol. 10.
Responsibility: Saugata Basu, Richard Pollack, Marie-Françoise Roy.

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From the reviews:"The monograph gives a self-contained detailed exposition of the algorithmic real algebraic geometry. ... In general, the monograph is well written and will be useful both for Read more...

 
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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/460817435<\/a>> # Algorithms in real algebraic geometry<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a>, schema:Book<\/a>, schema:MediaObject<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"460817435<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/gw<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Place\/berlin<\/a>> ; # Berlin<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/computer_science<\/a>> ; # Computer science<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/mathematical_logic<\/a>> ; # Mathematical logic<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/wiskunde_algemeen<\/a>> ; # Wiskunde (algemeen)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/wiskunde<\/a>> ; # wiskunde<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/landmeetkunde<\/a>> ; # landmeetkunde<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/computer_architecture_operating_systems<\/a>> ; # Computer architecture. Operating systems<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/mathematics<\/a>> ; # mathematics<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/geometry<\/a>> ; # Geometry<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/mathematics_general<\/a>> ; # Mathematics (General)<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algebraische_meetkunde<\/a>> ; # algebra\u00EFsche meetkunde<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algebraic_geometry<\/a>> ; # algebraic geometry<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algoritmen<\/a>> ; # algoritmen<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/informatica<\/a>> ; # informatica<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algebra<\/a>> ; # algebra<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algorithms<\/a>> ; # algorithms<\/span>\n\u00A0\u00A0\u00A0\nschema:bookEdition<\/a> \"2nd ed.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> schema:EBook<\/a> ;\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/44418334<\/a>> ; # Marie-Fran\u00E7oise Roy<\/span>\n\u00A0\u00A0\u00A0\nschema:contributor<\/a> <http:\/\/viaf.org\/viaf\/162609627<\/a>> ; # Richard D. Pollack<\/span>\n\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/66709696<\/a>> ; # Saugata Basu<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2006<\/span>\" ;\u00A0\u00A0\u00A0\nschema:exampleOfWork<\/a> <http:\/\/worldcat.org\/entity\/work\/id\/1846129531<\/a>> ;\u00A0\u00A0\u00A0\nschema:inLanguage<\/a> \"en<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isPartOf<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Series\/algorithms_and_computation_in_mathematics<\/a>> ; # Algorithms and computation in mathematics ;<\/span>\n\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/worldcat.org\/entity\/work\/data\/1846129531#CreativeWork\/algorithms_in_real_algebraic_geometry<\/a>> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algorithms in real algebraic geometry<\/span>\" ;\u00A0\u00A0\u00A0\nschema:numberOfPages<\/a> \"662<\/span>\" ;\u00A0\u00A0\u00A0\nschema:productID<\/a> \"460817435<\/span>\" ;\u00A0\u00A0\u00A0\nschema:publication<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/460817435#PublicationEvent\/berlin_springer_2006<\/a>> ;\u00A0\u00A0\u00A0\nschema:publisher<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Agent\/springer<\/a>> ; # Springer<\/span>\n\u00A0\u00A0\u00A0\nschema:url<\/a> <https:\/\/doi.org\/10.1007\/3-540-33099-2<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9783540330981<\/a>> ;\u00A0\u00A0\u00A0\nschema:workExample<\/a> <http:\/\/worldcat.org\/isbn\/9783540330998<\/a>> ;\u00A0\u00A0\u00A0\nwdrs:describedby<\/a> <http:\/\/www.worldcat.org\/title\/-\/oclc\/460817435<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Related Entities<\/h3>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Agent\/springer<\/a>> # Springer<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Springer<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Place\/berlin<\/a>> # Berlin<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Berlin<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Series\/algorithms_and_computation_in_mathematics<\/a>> # Algorithms and computation in mathematics ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/460817435<\/a>> ; # Algorithms in real algebraic geometry<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algorithms and computation in mathematics ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algebra<\/a>> # algebra<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"algebra<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algebraic_geometry<\/a>> # algebraic geometry<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"algebraic geometry<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algebraische_meetkunde<\/a>> # algebra\u00EFsche meetkunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"algebra\u00EFsche meetkunde<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Algebra\u00EFsche meetkunde<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algorithms<\/a>> # algorithms<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"algorithms<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/algoritmen<\/a>> # algoritmen<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"algoritmen<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/computer_architecture_operating_systems<\/a>> # Computer architecture. Operating systems<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Computer architecture. Operating systems<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/computer_science<\/a>> # Computer science<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Computer science<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/geometry<\/a>> # Geometry<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Geometry<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/informatica<\/a>> # informatica<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"informatica<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/landmeetkunde<\/a>> # landmeetkunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"landmeetkunde<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/mathematical_logic<\/a>> # Mathematical logic<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematical logic<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/mathematics<\/a>> # mathematics<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"mathematics<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/mathematics_general<\/a>> # Mathematics (General)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematics (General)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/wiskunde<\/a>> # wiskunde<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"wiskunde<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Topic\/wiskunde_algemeen<\/a>> # Wiskunde (algemeen)<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Wiskunde (algemeen)<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/gw<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"gw<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/162609627<\/a>> # Richard D. Pollack<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Pollack<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Richard D.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Richard D. Pollack<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/44418334<\/a>> # Marie-Fran\u00E7oise Roy<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Roy<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Marie-Fran\u00E7oise<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Marie-Fran\u00E7oise Roy<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/66709696<\/a>> # Saugata Basu<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:birthDate<\/a> \"1968<\/span>\" ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Basu<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Saugata<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Saugata Basu<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/entity\/work\/data\/1846129531#CreativeWork\/algorithms_in_real_algebraic_geometry<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nrdfs:label<\/a> \"Algorithms in real algebraic geometry<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isSimilarTo<\/a> <http:\/\/www.worldcat.org\/oclc\/460817435<\/a>> ; # Algorithms in real algebraic geometry<\/span>\n\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9783540330981<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"3540330984<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9783540330981<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9783540330998<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"3540330992<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9783540330998<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/460817435<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/460817435<\/a>> ; # Algorithms in real algebraic geometry<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2019-06-15<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/460817435#PublicationEvent\/berlin_springer_2006<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:PublicationEvent<\/a> ;\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Place\/berlin<\/a>> ; # Berlin<\/span>\n\u00A0\u00A0\u00A0\nschema:organizer<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/1846129531#Agent\/springer<\/a>> ; # Springer<\/span>\n\u00A0\u00A0\u00A0\nschema:startDate<\/a> \"2006<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n