Higher Mathematics - Lectures Part Four includes the fourth 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 summer semester 1983 at the Technische
Universität München where he attended the respective lecture course held by Prof. Dr. Armin Leutbecher. The seven chapters
of this volume provide introductions to the following concepts of mathematics: elementary solution methods for ordinary
differential equations; boundary value problems of ordinary differential equations; inversive geometry and number sphere;
holomorphic or analytic functions; integration of complex-valued functions; theory of analytic functions; and applications
of the residue theorem.
This book was written for college students majoring in natural sciences or engineering fields which require a four-semester course in advanced mathematics. However, younger readers such as high school honor students in mathematics or physics should also be able to work through the material with significant gain. Of course, this course lecture should also be of interest to the mathematical reader in general.