Geometrie der Zahlen. Ein \"Uberblick
Nicola M.R. Oswald
TL;DR
This paper offers a comprehensive historical overview of the development and key concepts in the Geometry of Numbers, including Minkowski's contributions, lattice point problems, and packing issues.
Contribution
It provides a detailed synthesis of the evolution and major topics in the Geometry of Numbers, highlighting historical context and foundational developments.
Findings
Historical development of Geometry of Numbers
Key concepts like Minkowski lattice points and successive minima
Overview of packing problems and related geometrical issues
Abstract
This article provides a historical overview of Geometry of Numbers. 1. Figures, 2. The circuit problem and its relatives, 3. Minkowski lattice point set, 4. The young Hermann Minkowski, 5. The geometry of numbers develops, 6. Minkowski geometry in the context of time, 7. Successive minima, 8. Minkowski space-time, 9. Voronoi and Blichfeldt, 10. The schools in Manchester and Vienna, 11. packing problems
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Taxonomy
TopicsHistory and Theory of Mathematics · Art, Technology, and Culture · Multidisciplinary Warburg-centric Studies