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)

Label
Computational Approach to Riemann Surfaces
Title
Computational Approach to Riemann Surfaces
Statement of responsibility
edited by Alexander I. Bobenko, Christian Klein
Creator
Contributor
Editor
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Bobenko, Alexander I
Image bit depth
0
LC call number
QA564-609
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)
Instantiates
Publication
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 M-curves using the Schottky-Klein 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
10.1007/978-3-642-17413-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-17413-1
Label
Computational Approach to Riemann Surfaces, edited by Alexander I. Bobenko, Christian Klein, (electronic resource)
Publication
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 M-curves using the Schottky-Klein 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
10.1007/978-3-642-17413-1
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-642-17413-1

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