Kasana emphasizes that differentiability in the complex plane is far stricter than in reals. He uses numerous exercises to test the Cauchy-Riemann equations in polar coordinates.
: A 36-page preview including the preface and initial contents is available via Anand Institute of Mathematics . complex variables theory and applications kasana pdf
Kasana introduces conformal mapping, which deals with mapping complex functions to visualize geometric transformations, crucial for fluid dynamics and heat transfer. complex variables theory and applications kasana pdf