What is a good definition of a mathematical structure?
May 21, 2020 · I understand a mathematical structure as a subset of the set-theoretic universe in which the real power-sets are well-defined. The formulas determining a mathematical structure …
Why do infinite-dimensional vector spaces usually have additional ...
Aug 16, 2023 · But in "real life," we usually start with examples, which come with oodles of structure, and much of our task as mathematicians is to strip away much of that structure in …
What are good mathematical models for spider webs?
Sep 13, 2020 · I started to wonder what are good mathematical models for spider webs. Obvious candidates are geometric graphs embedded in surfaces, or rather in space. One could argue …
What is the best place to learn about the mathematical …
Jun 11, 2021 · Just a word of warning: Different authors can have very different views on what the fundamental underlying mathematical structure is in quantum mechanics, and it can be hard to …
Most intricate and most beautiful structures in mathematics
I believe a structure mathematicians are gradually understanding is manifesting itself in various areas of algebra, number theory, analysis, probability theory, theoretical physics, geometry, …
A clear map of mathematical approaches to Artificial Intelligence
Dec 10, 2023 · 7 The recent book (2022) "Mathematical Aspects of Deep Learning," edited by Philipp Grohs and Gitta Kutyniok, provides a comprehensive overview of contemporary …
Are there any books/articles that apply abstract coordinate free ...
Apr 14, 2018 · The mathematical structure of thermodynamics by Peter Salamon (pdf) would be an example, but i would like a more abstract natural formulation of application of differential …
All properties of a mathematical object - MathOverflow
Jul 1, 2012 · You'll learn about relational structures (a very general type of mathematical structure via which all of the objects you mentioned can be realized), the "first-order languages" …
Books that teach other subjects, written for a mathematician
Nov 20, 2020 · 1 Robin Giles, Mathematical Foundations of Thermodynamics. From the preface: This monograph is an attempt to give an account of the foundations of thermodynamics which …
Which popular games are the most mathematical? - MathOverflow
116 I consider a game to be mathematical if there is interesting mathematics (to a mathematician) involved in the game's structure, optimal strategies, practical strategies, analysis of the game …