Publikation: Invitation to nonlinear algebra
Dateien
Datum
Autor:innen
Herausgeber:innen
ISSN der Zeitschrift
Electronic ISSN
ISBN
Bibliografische Daten
Verlag
Schriftenreihe
Auflagebezeichnung
Internationale Patentnummer
Angaben zur Forschungsförderung
Projekt
Open Access-Veröffentlichung
Sammlungen
Core Facility der Universität Konstanz
Titel in einer weiteren Sprache
Publikationstyp
Publikationsstatus
Erschienen in
Zusammenfassung
Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics—like the Nullstellensatz and primary decomposition—and more modern ones—like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.
Zusammenfassung in einer weiteren Sprache
Fachgebiet (DDC)
Schlagwörter
Konferenz
Rezension
Zitieren
ISO 690
MICHALEK, Mateusz, Bernd STURMFELS, 2021. Invitation to nonlinear algebra. Providence, Rhode Island: American Mathematical Society. ISBN 978-1-4704-5367-1BibTex
@book{Michalek2021Invit-53971, year={2021}, isbn={978-1-4704-5367-1}, publisher={American Mathematical Society}, address={Providence, Rhode Island}, series={Graduate studies in mathematics}, title={Invitation to nonlinear algebra}, number={211}, url={https://bookstore.ams.org/gsm-211}, author={Michalek, Mateusz and Sturmfels, Bernd} }
RDF
<rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bibo="http://purl.org/ontology/bibo/" xmlns:dspace="http://digital-repositories.org/ontologies/dspace/0.1.0#" xmlns:foaf="http://xmlns.com/foaf/0.1/" xmlns:void="http://rdfs.org/ns/void#" xmlns:xsd="http://www.w3.org/2001/XMLSchema#" > <rdf:Description rdf:about="https://kops.uni-konstanz.de/server/rdf/resource/123456789/53971"> <dc:language>eng</dc:language> <dcterms:abstract xml:lang="eng">Nonlinear algebra provides modern mathematical tools to address challenges arising in the sciences and engineering. It is useful everywhere, where polynomials appear: in particular, data and computational sciences, statistics, physics, optimization. The book offers an invitation to this broad and fast-developing area. It is not an extensive encyclopedia of known results, but rather a first introduction to the subject, allowing the reader to enter into more advanced topics. It was designed as the next step after linear algebra and well before abstract algebraic geometry. The book presents both classical topics—like the Nullstellensatz and primary decomposition—and more modern ones—like tropical geometry and semidefinite programming. The focus lies on interactions and applications. Each of the thirteen chapters introduces fundamental concepts. The book may be used for a one-semester course, and the over 200 exercises will help the readers to deepen their understanding of the subject.</dcterms:abstract> <dc:publisher>Providence, Rhode Island</dc:publisher> <dc:contributor>Sturmfels, Bernd</dc:contributor> <bibo:uri rdf:resource="https://kops.uni-konstanz.de/handle/123456789/53971"/> <dc:date rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-06-14T12:31:50Z</dc:date> <void:sparqlEndpoint rdf:resource="http://localhost/fuseki/dspace/sparql"/> <dc:creator>Michalek, Mateusz</dc:creator> <dcterms:available rdf:datatype="http://www.w3.org/2001/XMLSchema#dateTime">2021-06-14T12:31:50Z</dcterms:available> <dspace:isPartOfCollection rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <bibo:issn>978-1-4704-5367-1</bibo:issn> <dc:publisher>American Mathematical Society</dc:publisher> <dcterms:title>Invitation to nonlinear algebra</dcterms:title> <dc:rights>terms-of-use</dc:rights> <dcterms:issued>2021</dcterms:issued> <dc:contributor>Michalek, Mateusz</dc:contributor> <foaf:homepage rdf:resource="http://localhost:8080/"/> <dcterms:rights rdf:resource="https://rightsstatements.org/page/InC/1.0/"/> <dcterms:isPartOf rdf:resource="https://kops.uni-konstanz.de/server/rdf/resource/123456789/39"/> <dc:creator>Sturmfels, Bernd</dc:creator> </rdf:Description> </rdf:RDF>