The study of Hilbert transforms and oscillatory integrals has long been a focal point in harmonic analysis, embedding profound implications across pure and applied mathematics. The Hilbert transform, ...

Real analysis: inequalities, the continuum property, induction, sequences, functions and limits, continuity, contraction mappings and fixed points, differentiation, mean value theorems and Taylor's ...

The boundary element method (BEM) provides a robust framework for solving linear partial differential equations by transforming the problem domain into integrals over its boundary. This technique is ...

The CUET PG Mathematics exam syllabus typically covers topics such as algebra, integral calculus, real analysis, differential equations, vector calculus, complex analysis, linear programming, etc.

This course will introduce you to the theory of functions of complex variables, which is a core area of mathematics. It is a basic tool in many mathematical theories. We will cover complex numbers and ...