An understanding of functions of a complex variable, together with the importance of their applications, form an essential part of the study of mathematics. Com

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

Explores the interrelations between real and complex numbers by adopting both generalization and specialization methods to move between them, while simultaneous

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