Fundamentals of analytic function theory — plus lucid exposition of 5 important applications: potential theory, ordinary differential equations, Fourier trans

The theory of analytic functions of several complex variables enjoyed a period of remarkable development in the middle part of the twentieth century. This title

From the algebraic properties of a complete number field, to the analytic properties imposed by the Cauchy integral formula, to the geometric qualities originat

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and La

Textbooks, even excellent ones, are a reflection of their times. Form and content of books depend on what the students know already, what they are expected to l