On the emergence of a new mathematical object: an ethnography of a duality transform

DOI10.1007/978-3-319-28582-5_6zbMath1544.0003MaRDI QIDQ6599267

Stav Kaufman

Publication date: 6 September 2024

zbMATH Keywords

convex bodyfunctional inequalitymathematical practicemathematical knowledgeprestigious journal

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Methodology of mathematics (00A35)

Cites Work

• Hidden structures in the class of convex functions and a new duality transform
• The concept of duality for measure projections of convex bodies
• A new duality transform
• A characterization of the duality mapping for convex bodies
• Asymptotic theory of finite dimensional normed spaces. With an appendix by M. Gromov: Isoperimetric inequalities in Riemannian manifolds
• Some functional forms of Blaschke-Santaló inequality
• The concept of duality in convex analysis, and the characterization of the Legendre transform
• Egg-Forms and Measure-Bodies: Different Mathematical Practices in the Early History of the Modern Theory of Convexity
• Concepts and the Mangle of Practice Constructing Quaternions
• The Santaló point of a function, and a functional form of the Santaló inequality
• Envisioning transformations -- the practice of topology
• An empirical approach to the mathematical values of problem choice and argumentation
• Mathematical pull
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