Higher Mathematics - Lectures Part Three includes the third semester material of a four-semester lecture course on higher mathematics as it is obligatory in many study courses for natural and engineering sciences at German universities. The content selection in this volume was based on the lecture notes the author took during the winter semester 1982/83 at the Technische Universität München where he attended the respective lecture course held by Prof. Dr. Armin Leutbecher. The eight chapters of this volume provide introductions to the following concepts of mathematics: Integrals with Parameters; Multiple Integrals; Integral Theorems in the Plane; Surfaces in Space, Surface Integrals; Quadratic Matrices & Determinants; Vector Spaces, Linear Self-mappings, Eigenvalues; Linear Differential Equations with Constant Coefficients; and Existence & Uniqueness Theorem for Explicit Ordinary Differential Equations.