Analysis I

The book covers the analysis of a single variable. It addresses the material of the lecture Analysis 1, as it is typically taught at universities in German-speaking countries, and is suitable both as a textbook and for in-depth self-study. Numerous examples and exercises are provided. Historical backgrounds can be found throughout. Furthermore, the mutually demanding interplay of theory and applications is illustrated through many thoroughly described topics, and brief explanations offer an insight into more advanced areas of analysis.