Higher branches of mathematics
The following are the Higher branches of Mathematics
1)Differential equations
2)Real analysis
3)Complex analysis
4)Topology
5)Functional analysis
Differential equations deals with equations in which various orders of derivatives occur. If initial conditions are given the differential equations can be solved easily . Differential equation Is classified into ordinary differential equations and partial differential equations.
Real analysis deals with deep insight of the concepts of derivative integral etc.
Complex analysis deals with complex numbers ,analytic functions, series of complex terms ,conformal mapping ,calculus of residues.
Topology is a generalization of real analysis .The concept of open intervals, closed intervals ,open sets are generalized.
Functional analysis deals with functions as generalized. It involves open mapping theorem ,closed graph theorem etc.
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