Computational Approach to Riemann Surfaces

Bibliographic Details
Title:	Computational Approach to Riemann Surfaces
Description:	This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.
Authors:	Alexander I. Bobenko TU Berlin, Christian Klein
Resource Type:	eBook.
Subjects:	Riemann surfaces, Curves, Algebraic, Mathematical analysis--Data processing
Categories:	MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Complex Analysis, MATHEMATICS / Numerical Analysis
Database:	eBook Index

FullText	Text: Availability: 0
Header	DbId: edsebk DbLabel: eBook Index An: 2628366 RelevancyScore: 893 AccessLevel: 6 PubType: eBook PubTypeId: ebook PreciseRelevancyScore: 893.305786132813
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Items	– Name: Title Label: Title Group: Ti Data: Computational Approach to Riemann Surfaces – Name: Abstract Label: Description Group: Ab Data: This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Alexander+I%2E+Bobenko+TU+Berlin%22">Alexander I. Bobenko TU Berlin</searchLink><br /><searchLink fieldCode="AR" term="%22Christian+Klein%22">Christian Klein</searchLink> – Name: TypePub Label: Resource Type Group: TypPub Data: eBook. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Riemann+surfaces%22">Riemann surfaces</searchLink><br /><searchLink fieldCode="DE" term="%22Curves%2C+Algebraic%22">Curves, Algebraic</searchLink><br /><searchLink fieldCode="DE" term="%22Mathematical+analysis--Data+processing%22">Mathematical analysis--Data processing</searchLink> – Name: SubjectBISAC Label: Categories Group: Su Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Algebraic%22">MATHEMATICS / Geometry / Algebraic</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Complex+Analysis%22">MATHEMATICS / Complex Analysis</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Numerical+Analysis%22">MATHEMATICS / Numerical Analysis</searchLink>
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RecordInfo	BibRecord: BibEntity: Classifications: – Code: 516.35 Scheme: ddc Type: prePub Languages: – Code: eng Text: English Subjects: – SubjectFull: Riemann surfaces Type: general – SubjectFull: Curves, Algebraic Type: general – SubjectFull: Mathematical analysis--Data processing Type: general Titles: – TitleFull: Computational Approach to Riemann Surfaces Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Alexander I. Bobenko TU Berlin – PersonEntity: Name: NameFull: Christian Klein – PersonEntity: Name: NameFull: Alexander I. Bobenko TU Berlin – PersonEntity: Name: NameFull: Christian Klein IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 01 Type: published Y: 2011 – D: 23 M: 11 Type: profile Y: 2021 Identifiers: – Type: isbn-print Value: 9783642174124 – Type: isbn-electronic Value: 9783642174131 Numbering: – Type: volume Value: 02013 Titles: – TitleFull: Computational Approach to Riemann Surfaces Type: main
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