Complex Variables Theory And Applications Kasana Pdf ^new^ 〈2025〉

: Detailed exploration of power series, Taylor's series, and Laurent series. It also covers the classification of singularities (poles, isolated, and essential) and the use of the Residue Theorem Key Applications

Students in engineering , physics , and mathematics . complex variables theory and applications kasana pdf

Complex variables are a fundamental area of mathematics that has numerous applications in physics, engineering, and other fields. The theory of complex variables deals with functions of complex numbers, which are numbers of the form a + bi, where a and b are real numbers and i is the imaginary unit. : Detailed exploration of power series, Taylor's series,

The book’s biggest asset is its sheer number of worked-out problems. Each section is followed by multiple solved examples showing step-by-step methods for contour integration, Laurent series, residue calculation, conformal mappings, etc. The theory of complex variables deals with functions

The book covers a wide range of topics, including:

Includes all standard topics: analytic functions, harmonic functions, elementary functions, complex integration, power series, Laurent series, singularities, residue theorem, evaluation of real integrals, conformal mappings, and an introduction to boundary value problems.

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.