Convex Geometry
Brunn–Minkowski theory, isoperimetric inequalities, and asymptotic convex geometry.
Convex Geometry. Brunn–Minkowski theory, isoperimetric inequalities, and asymptotic convex geometry.
Foundations and canonical references
The standard treatments of convex geometry approach the subject from complementary angles. Schneider, Convex Bodies: The Brunn-Minkowski Theory (2014) is the anchor reference for the subject and lays out the core definitions, theorems, and worked examples that practitioners return to.
Open methodological questions for convex geometry include sharpening the bridges between foundational theory and computational practice, extending classical results to broader or more structured settings, and integrating the techniques surveyed above with adjacent mathematical disciplines. The references listed in this page are the entry points that current work builds on.
Prerequisites
Sources
- textbook · primary · 2014Convex Bodies: The Brunn-Minkowski Theoryschneider-2014
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