This article appears to be a dictionary definition.
A mathematical theory is a subfield of mathematics that is an area of mathematical research. A theory can be a body of knowledge, and so in this sense a "mathematical theory" refers to an area of mathematical research. This is distinct from the idea of mathematical models. Branches of mathematics like group theory and number theory are examples of this.
- Langlands, Robert P. (January 2010). "Is there beauty in mathematical theories?" (PDF).
- Boero, Paolo. "Approaching Mathematical Theories in Junior High School". Dipartimento di Matematica, Università di Genova.
- Corry, Leo. "Reflexive Thinking in Mathematics: Formal and Non-formal Aspects" (PDF). Tel Aviv.
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