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- What's the name for the mathematical theory of fields, in the sense that the word "fields" is used in physics?
The mathematical structure called a "field" is an algebraic structure that doesn't capture the properties of what physicists called a "field". What's the name for a mathematical structure that does represent the general concept of physicist's field?
Is a mathematical version of a physicist's field" just any scalar valued function of several coordinates? That very general definition doesn't express details present in physical fields.
Is a mathematical version of a physicist's field" just any scalar valued function of several coordinates? That very general definition doesn't express details present in physical fields.