What is a good definition of a mathematical structure?
2020年5月21日 · $\begingroup$ 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 …
What is the best place to learn about the mathematical …
2021年6月11日 · $\begingroup$ Just a word of warning: Different authors can have very different views on what the fundamental underlying mathematical structure is in quantum mechanics, …
Does every set admit a ring structure or a field structure?
2023年7月11日 · Every infinite set carries a group structure. Every infinite set carries an abelian group structure; Every infinite set carries a ring structure. Every infinite set carries a field …
Mathematical foundations of Quantum Field Theory
2012年4月15日 · Certainly this version of QFT is an interesting mathematical structure to study, but it arises from the "Heisenberg" picture underpinning factorization algebras only because …
Where does a math person go to learn quantum mechanics?
If you are willing to study some C*-algebras, another suggestion is Strocchi's An Introduction to the Mathematical Structure of Quantum Mechanics. It does not assume any background in …
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, …
ac.commutative algebra - What is the mathematical structure …
2015年4月20日 · Could anyone tell me what the mathematical structure is called if we replace commutative group by commutative monoid in the definition of linear space? Also, are there …
A soft introduction to physics for mathematicians who don't know …
Mathematical structure of magnetohydrodynamics system Reacting fluid dynamics Mathematical structure of the system of reacting fluid dynamics Elastic mechanics Theorem 5.1 demands …
Reading materials for mathematical logic - MathOverflow
Logic and Structure by Dirk van Dalen. I have used this as a textbook when teaching mathematical logic and for that purpose it is decent. Some people find it a bit dry, but at least it …
Why do infinite-dimensional vector spaces usually have additional ...
2023年8月16日 · An infinite-dimensional vector space without any additional structure carries no more information than the cardinality of its Hamel basis. In modern mathematics, infinite …