Higher Mathematics - Lectures Part One includes the first 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 1981/82 at the Technische Universität München where he attended
the respective lecture course held by Prof. Dr. Armin Leutbecher. The nine chapters of this volume provide introductions to fundamental
concepts of mathematics such as: complete mathematical induction; inequalities and absolute value; limit values and differentiation;
important functions such as exponential, logarithm, and power functions as well as polynomials; existence theorems with special emphasis
on applications of the mean value theorem; oscillation equation and trigonometric functions; affine transformations in the plane; and
complex numbers.
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.