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 ...

The theory of functions of a complex variable plays an increasingly important part in the applications of mathematics to physical problems.

The problem of Taylor's series is therefore to deduce from a knowledge of the coefficients the behaviour of the function. The Taylor Series: an Introduction to the Theory of Functions of a Complex ...

J. A. C. Weideman, Computation of the Complex Error Function, SIAM Journal on Numerical Analysis, Vol. 31, No. 5 (Oct., 1994), pp. 1497-1518 ...

Evelyn Frank, On the Real Parts of the Zeros of Complex Polynomials and Applications to Continued Fraction Expansions of Analytic Functions, Transactions of the American Mathematical Society, Vol. 62, ...

Students should have completed undergraduate physics curriculum including electricity and magnetism and waves and optics, and calculus including partial differential equations, integral equations, and ...