René Leander Schilling Bücher

The book delves into measure and integration theory through a unique approach, presenting over 300 counterexamples that challenge conventional understanding. Each example prompts readers to consider potential pitfalls and misconceptions in the field, fostering deeper insights into the complexities of measure theory. This engaging exploration encourages critical thinking and enhances problem-solving skills, making it an invaluable resource for students and professionals alike.

This is a concise and elementary introduction to contemporary measure and integration theory as it is needed in many parts of analysis and probability theory. Undergraduate calculus and an introductory course on rigorous analysis in R are the only essential prerequisites, making the text suitable for both lecture courses and for self-study. Numerous illustrations and exercises are included to consolidate what has already been learned and to discover variants and extensions to the main material. Hints and solutions can be found on the authors website, which can be reached at