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The Resource Computational Approach to Riemann Surfaces, edited by Alexander I. Bobenko, Christian Klein, (electronic resource)
Computational Approach to Riemann Surfaces, edited by Alexander I. Bobenko, Christian Klein, (electronic resource)
Resource Information
The item Computational Approach to Riemann Surfaces, edited by Alexander I. Bobenko, Christian Klein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Computational Approach to Riemann Surfaces, edited by Alexander I. Bobenko, Christian Klein, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 This volume offers a wellstructured 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
 Language
 eng
 Extent
 XII, 257p.
 Contents

 Introduction to Compact Riemann Surfaces
 Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”
 Algebraic curves and Riemann surfaces in Matlab
 Computing Poincaré Theta Series for Schottky Groups
 Uniformizing real hyperelliptic Mcurves using the SchottkyKlein prime function
 Numerical Schottky Uniformizations: Myrberg’s Opening Process
 Period Matrices of Polyhedral Surfaces
 On the spectral theory of the Laplacian on compact polyhedral surfaces of arbitrary genus
 Isbn
 9783642174131
 Label
 Computational Approach to Riemann Surfaces
 Title
 Computational Approach to Riemann Surfaces
 Statement of responsibility
 edited by Alexander I. Bobenko, Christian Klein
 Subject

 Functions of a Complex Variable
 Geometry, algebraic
 Geometry, algebraic
 Geometry, algebraic
 Algebraic Geometry
 Mathematics
 Functions of complex variables
 Numerical analysis
 Numerical analysis
 Numerical Analysis
 Electronic resources
 Functions of complex variables
 Numerical analysis
 Mathematics
 Numerical Analysis
 Mathematics
 Numerical Analysis
 Functions of complex variables
 Language
 eng
 Summary
 This volume offers a wellstructured 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
 http://library.link/vocab/creatorName
 Bobenko, Alexander I
 Image bit depth
 0
 LC call number
 QA564609
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName

 Klein, Christian.
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 2013
 http://library.link/vocab/subjectName

 Mathematics
 Geometry, algebraic
 Functions of complex variables
 Numerical analysis
 Mathematics
 Algebraic Geometry
 Functions of a Complex Variable
 Numerical Analysis
 Label
 Computational Approach to Riemann Surfaces, edited by Alexander I. Bobenko, Christian Klein, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction to Compact Riemann Surfaces  Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”  Algebraic curves and Riemann surfaces in Matlab  Computing Poincaré Theta Series for Schottky Groups  Uniformizing real hyperelliptic Mcurves using the SchottkyKlein prime function  Numerical Schottky Uniformizations: Myrberg’s Opening Process  Period Matrices of Polyhedral Surfaces  On the spectral theory of the Laplacian on compact polyhedral surfaces of arbitrary genus
 Dimensions
 unknown
 Extent
 XII, 257p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783642174131
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642174131
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642174131
 Label
 Computational Approach to Riemann Surfaces, edited by Alexander I. Bobenko, Christian Klein, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code
 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code
 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction to Compact Riemann Surfaces  Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”  Algebraic curves and Riemann surfaces in Matlab  Computing Poincaré Theta Series for Schottky Groups  Uniformizing real hyperelliptic Mcurves using the SchottkyKlein prime function  Numerical Schottky Uniformizations: Myrberg’s Opening Process  Period Matrices of Polyhedral Surfaces  On the spectral theory of the Laplacian on compact polyhedral surfaces of arbitrary genus
 Dimensions
 unknown
 Extent
 XII, 257p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783642174131
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783642174131
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783642174131
Subject
 Algebraic Geometry
 Electronic resources
 Functions of a Complex Variable
 Functions of complex variables
 Functions of complex variables
 Functions of complex variables
 Geometry, algebraic
 Geometry, algebraic
 Geometry, algebraic
 Mathematics
 Mathematics
 Mathematics
 Numerical Analysis
 Numerical Analysis
 Numerical Analysis
 Numerical analysis
 Numerical analysis
 Numerical analysis
Member of
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