Mathematical Analysis: A Brief Course for Engineering Students

This course is designed as a textbook for engineering students. It embraces the topics in mathematical analysis usually included into curricula of technical colleges. The course also contains some optional material which may be omitted in a first reading of the book; the corresponding items are marked with the asterisk.

There are a number of courses dealing with special divisions of mathematical analysis, such as equations of mathematical physics, functions of a complex argument and the like, and therefore, although these divisions are important for mathematical education of an engineer, they are not treated in this book. We also draw attention to the fact that only a few questions related to approximate calculations and programming (e.g. the application of the differential to approximate calculations, methods of approximate solution of equations, numerical integration and solution of differential equations, etc.) are discussed in this course. For a thorough study of this subject some other textbooks should be used.