What is a complex number: In this note we have tried to introduce complex numbers and it has algebraic flavour.
Read it and get a basic instinct for complex analysis.
In this lecture note we discuss the neighbourhood a point in the complex plane. It will be very important for analytical and topological study. I have given complete solution of exercise one of this section (section 11).
This is part one of Lecture note on Cauchy Riemann Equations. Cauchy obtained the equations in 1814 while discussing the interchange of the order of integration in a real double integral...... Riemann put these differential equations at the beginning of his function theory and consistently built on them.......However , neither Cauchy nor Riemann was the first to discover these equations, they occur previously in 1752 in D'Alembert's theory of fluid flow....and in the work of Euler and Lagrange.--- Remmert in 'Theory of complex functions'
This is part II of lecture note on CR-eqns. Here we have derived the CR-equations by assuming the complex differentiability of function.
This is problem- based note.