Includes bibliographical references (p. 513-522) and index.
Complex numbers : Algebra -- Complex numbers : Geometry -- Complex numbers and analysis -- Cauchy-riemann equations and C-differentiable functions -- Cauchy's theorem -- Morera, Liouville, Schwarz, et les autres : first applications -- Laurent expansions, residues, singularities and applications -- Computations of definite integrals using the residue theorem -- Harmonic functions -- Conformal mappings -- A taste of linear system theory and signal processing -- Some useful theorems -- Some topology -- Some functional analysis essentials -- A brief survey of integration.