Advances in Discrete Differential Geometry by Alexander Bobenko
Advances in Discrete Differential Geometry - Table of Contents
- 1. Discrete Conformal Maps and boundary value problems circle domains fuchsian schottky uniformization
- 2. Discrete Complex Analysis on Planar Quad-Graphs and discrete cauchy riemann equations quad graphs discrete holomorphy
- 3. Approximation of Conformal Mappings and conformally equivalent triangular lattices grid convergence
- 4. Numerical Methods for the Discrete Map Za and discrete power functions numerical conformal maps
- 5. Variational Principle for Cyclic Polygons and cyclic polygons prescribed edge lengths variational formulation
- 6. Complex Line Bundles Over Simplicial Complexes and simplicial complexes discrete exterior calculus gauge theory
- 7. Holomorphic Vector Fields on Triangular Meshes and holomorphic vector fields quadratic differentials mesh processing
- 8. Vertex Normals and Face Curvatures of Triangle Meshes and triangle mesh curvature discrete gauss curvature vertex normals
- 9. S-Conical CMC Surfaces and constant mean curvature surfaces s conical meshes discrete CMC theory
- 10. Bjorling Problem for Isothermic Surfaces and isothermic surfaces bjorling problem structure preserving discretization
- 11. Lagrangian Structure of Integrable Hierarchies and integrable hierarchies lagrangian formulation discrete integrable systems
- 12. Variational Interpretation of Discrete KP Equation and discrete KP equation variational principle soliton equations
- 13. Six Topics on Inscribable Polytopes and inscribable polytopes convex geometry hyperbolic geometry
- 14. DGD Gallery and digital research data management reproducible geometry research
What You Will Learn in Advances in Discrete Differential Geometry
In this 14-chapter edition of Advances in Discrete Differential Geometry, edited by distinguished geometer Alexander I. Bobenko, leading researchers present a comprehensive overview of discretizing smooth geometric structures. Unfolding across fourteen specialized research modules, this volume covers discrete conformal mappings, uniformization theory, complex analysis on planar quad-graphs, discrete holomorphic vector fields, vertex normals, face curvatures of triangle meshes, S-conical CMC surfaces, isothermic surfaces via Björling problem discretizations, and the variational structure of discrete integrable hierarchies like the KP equation.
Targeted at graduate students, differential geometers, mathematical physicists, and computer graphics scientists, this work bridges continuous geometric analysis with discrete algorithms. Readers are guided step-by-step through circle domain uniformization, discrete exterior calculus on complex line bundles, cyclic polygon variational principles, and digital research data publishing frameworks.
Celebrated for its rigorous mathematical depth, cutting-edge topics, and interdisciplinary breadth, this volume stands as an indispensable reference for scholars seeking an authoritative advances in discrete differential geometry by alexander bobenko pdf for self-study and advanced research. It systematically equips quantitative researchers with discrete models for mastering modern discrete geometry with confidence.
Book Details & Specifications
Title:
Advances in Discrete Differential Geometry by Alexander Bobenko
Publisher:
Springer
Year:
2016
Pages:
441
Type:
PDF
Language:
English
ISBN-10 #:
3662504464
ISBN-13 #:
978-3662504468
License:
CC BY-NC 4.0
Amazon:
Amazon
About the Author: Alexander I. Bobenko
The author Alexander I. Bobenko
is Professor of Geometry at Technische Universität Berlin and a world-renowned authority on discrete differential geometry and integrable systems.
A pioneer in discretizing smooth differential structures, Prof. Bobenko has authored and edited numerous seminal works, providing an invaluable advances in discrete differential geometry by alexander bobenko pdf resource for mathematicians, theoretical physicists, and computational engineers globally.
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