What topics can I ask about here?
Mathematics Codidact (MCD) is for people studying mathematics at any level and professionals in related fields.
The following is an outline of subjects covered in MCD. It is not necessarily a complete set of independent related fields; it only wants to help users to know the scope of MCD.
If you have any suggestion about removing some items from the list, editing them, or adding some new ones, you can post it as an answer to this post. You can also discuss the list in the math channel of Codidact Communities Server on Discord.
Subjects Covered in Math Codidact
General
- Mathematics Education
- Mathematics Research
- History of Mathematics
- Philosophy of Mathematics
- Mathematics Resources
- Mathematics Softwares
- Recreational Mathematics
- Mathematical Modeling
Foundations of Mathematics
- Mathematical Logic
- Set Theory
- Model Theory
- Proof Theory and Constructive Mathematics
- Algebraic Logic
- Computability and Recursion Theory
- Nonstandard Models
Discrete Mathematics & Algebra
- Basic Algebra
- Combinatorics
- Graph Theory
- Order, Lattices, Ordered Algebraic Structures
- General Algebraic Systems
- Number Theory
- Field Theory and Polynomials
- Commutative Algebra
- Algebraic Geometry
- Linear Algebra
- Associative Rings and Algebras
- Nonassociative Rings and Algebras
- Category Theory
- Homological Algebra
- K-Theory
- Group Theory and Generalizations
- Topological Groups, Lie Groups
Analysis
- Calculus
- Real Analysis
- Complex Analysis
- Measure and Integration
- Potential Theory
- Special Functions
- Differential Equations
- Dynamical Systems and Ergodic Theory
- Difference and Functional Equations
- Sequence, Series, Summability
- Approximations and Expansions
- Harmonic Analysis
- Integral Transforms, Operational Calculus
- Integral Equations
- Functional Analysis
- Operator Theory
- Calculus of Variations and Optimal Control; Optimization
Geometry & Topology
- Geometry
- Convex and Discrete Geometry
- Differential Geometry
- General Topology
- Algebraic Topology
- Manifolds and Cell Complexes
- Differential Topology
- Global Analysis, Analysis on Manifolds
Applied Mathematics
- Probability Theory and Stochastic Processes
- Statistics
- Numerical Analysis
- Theoretical Computer Science
- Mathematical Physics, Mathematical Chemistry, Mathematical Biology
- Game Theory, Mathematical Economics, Mathematical Sociology, Mathematical Psychology, Mathematical Treatment
- Operations Research, Mathematical Programming
- System Theory; Control
- Information and Communication Theory, Circuits
1 answer
While the effort to put together a list of possible subjects that can be asked about here is appreciated, I think you may be focusing on the wrong thing here.
First off, instead of you individually writing up a list and saying "This is what's on-topic", you'd probably be better off discussing with the community what the scope of the site is. It's always better to raise discussions about scope as, well, a discussion, rather than making blanket statements that you decided on your own.
The scope of a community should be decided by the community as a whole rather than one person.
Secondly, a list of every sub-topic that might possibly come up isn't very practically useful. Instead, focus on finding the boundaries of the site scope.
Think of it like a room with a tile floor. Every tile represents a different topic that's on-topic. Marking out every individual tile on the floor isn't very helpful. But finding the edges of the room, where the tiles end in each direction, will help you identify where the scope ends. Find what the boundary is on each side, and then everything in between is on-topic.
Third... maybe wait a little bit to see how the scope naturally evolves before codifying what the scope is? Let's see what the community here naturally decides should be on- and off-topic through community votes (including close votes) before trying to decide every edge case or possible scope question.
That way, you end up deciding scope on how the site is used in practice, rather than trying to force a site into being something it isn't.
Again, the effort in collecting all these various subjects is appreciated, but maybe let's focus on asking and answering questions, and naturally letting the scope evolve, before worrying about setting the scope in stone.
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