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, and eigenvalues; linear differential equations with constant coefficients; and existence & uniqueness theorem
for explicit ordinary differential equations.
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.