This textbook covers all the essential fundamentals of analysis with a focus on the one-dimensional case. Additionally, numerous excursions illustrate concrete connections between the learned content and practical applications as well as other areas of mathematics. To this end, the standard fundamentals are supplemented with so-called chapters. The clear structure and logical organization allow the reader to quickly access the important content. All central statements of analysis are thoroughly proven, and the necessary foundations of linear algebra are summarized in the appendix. Furthermore, this book contains more than 80 exercises, including solutions, making it well-suited for exam preparation and self-study.