APPM 5430 Applications of Complex Variables Reviews basic ideas of complex analysis, including solutions of ODEs and PDEs of physical interest via complex analysis; conformal mapping, including ...

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

Eugene M. Romer, A Note on a Theorem in Complex Variables and Applications, Mathematics Magazine, Vol. 35, No. 3 (May, 1962), pp. 173-174 ...

We will cover complex numbers and their properties, differentiation of complex-valued functions, analytic functions and the Cauchy-Riemann conditions, elementary functions of a complex variable, both ...

Joe’s mathematical work was almost all in an area that lies at the intersection of complex analysis in several variables and partial differential equations. He was a leading world expert in that ...

Real analysis: inequalities, the continuum property, induction, sequences, functions and limits, continuity, contraction mappings and fixed points, differentiation, mean value theorems and Taylor's ...

Bergman theory forms a cornerstone of complex analysis in several variables by providing a framework in which holomorphic functions may be studied through intrinsic reproducing kernel methods ...