Mathematics

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In mathematics we study mathematical objects , relationship between objects and how relationship between objects changes w.r.t to others and many more lead to the special class of mathematical structures that mathematicians are interested to explore through geometry, algebra and analysis etc.

Objects : Numbers, Sets, Functions, Manifolds etc

Relations is defined between objects : Equality, Order, Group actions, Metrics etc

Dynamics of relational changes : how these relations transform under mappings, perturbations or parameter variations like infinitesimal changes, homomorphisms preserving structure and continuity-convergence etc are completely captured through geometry, algebra and analysis resp.