"Mathematics in a Relaxed Atmosphere" is the guiding principle of this easily understandable textbook. In a narrative style and with many examples, the author not only illuminates higher mathematics but also relates the material to its applications. All the mathematics important for engineering students is covered in one volume. This is achieved by avoiding abstract heights and by a selection of content tailored to the needs of future engineers. The book can be used alongside lectures or for self-study. The 159 exercises with solutions support the practice of the material and are thoroughly worked out in the volume "Exercise Problems for Engineers' Mathematics." The "Bridge Course" makes it easier for beginners to get started.