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 ...

Introduces methods of complex variables, contour integration, and theory of residues. Applications include solving partial differential equations by transform methods, Fourier and Laplace transforms, ...

Advanced Engineering Mathematics II Method of solution of partial differential equations (PDEs) including separation of variables, Fourier series, and Laplace transforms.

The undergraduate program at Santa Clara includes calculus and differential equations, abstract algebra, linear algebra, advanced calculus and/or real analysis; and a minimum of five upper-division ...

In particular, we correct a result due to Hahn [Complex Variables, 6, 109-121, 1986] about Lappan-type theorem for holomorphic curve in several variables. The journal publishes original papers in all ...