Bücher

Excursions into Combinatorial Geometry
Vladimir Boltyanski, Horst Martini, Petru S. Soltan © 1997 Springer-Verlag Inhalt: Convexity d-convexity in normed spaces H-convexity The Szőkefalvi-Nagy Problem Borsuk's partition problem Homothetic covering and illumination Combinatorial geometry of belt bodies

Geometric Methods and Optimization Problems
Vladimir Boltyanski, Horst Martini, Valeriu Soltan © 1999 Kluwer Academic Publishers Inhalt: Nonclassical variational calculus Median problems in location science Minimum convex partitions of polygonal domains

Discrete Geometry in Normed Spaces
Margarita Spirova © 2011 Südwestdeutscher Verlag für Hochschulschriften Inhalt: Introduction Ball-intersection bodies Kissing spheres. Coverings and packings by balls

Bodies of Constant Width: An Introduction to Convex Geometry with Applications

Horst Martini, Luis Montejano, Déborah Oliveros © 2019 Springer-Verlag Inhalt: Introduction Convex geometry Basic properties of bodies of constant width Figures of constant Width Systems of lines in the plane Spindle convexity Complete and reduced convex bodies Examples and constructions Sections of bodies of constant width Bodies of constant width in Minkowski spaces Bodies of constant width in differential geometry Mixed volumes Bodies of constant width in analysis Geometric inequalities Bodies of constant width in discrete geometry Bodies of constant width in topology Concepts related to constant width Bodies of constant Width in art, design, and engineering

Circles, Spheres and Spherical Geometry

Hiroshi Maehara, Horst Martini © 2024 Birkhäuser Advanced Texts Basler Lehrbücher Inhalt: Inversion and Stereographic Projection Bend Formulas Graphs and Circle-Systems Spherical Geometry I Spherical Geometry II The Problem of Thirteen Balls Spherical Geometry III Geometric Probability on the Sphere Intersection Graphs of Spherical Caps Quartets on a Sphere Higher Dimensions The Cayley-Menger Determinant Casey's Theorem Solutions to the Selected Exercises

Convexity from the Geometric Point of View

Vitor Balestro, Horst Martini, Ralph Teixeira © 2024 Springer Nature Switzerland Inhalt: Convex functions Convex sets A first look into polytopes Volume and area Classical inequalities Mixed volumes Mixed surface area measures The Alexandrov-Fenchel inequality Affine convex geometry - Part 1 Affine convex geometry - Part 2 Further selected topics Historical steps of development of convexity as a field A Measure theory for convex geometers

Convexity from the Geometric Point of View: Exercises and Solutions
Vitor Balestro, Horst Martini, Ralph Teixeira © 2025 Springer Nature Switzerland Inhalt: Convex functions Convex sets A first look into polytopes Volume and area Classical inequalities Mixed volumes Mixed surface area measures The Alexandrov-Fenchel inequality Affine convex geometry - Part 1 Affine convex geometry - Part 2 Further selected topics