Understanding Analysis Stephen Abbott is an English-language textbook on mathematical analysis. This book is suitable for students who want to deeply explore functions of a real variable and the associated proof techniques.
The book combines informal explanations with clear, rigorous methods. By emphasizing approaches and solving paradoxes in the transition from the finite to the infinite, it makes the complex theory of analysis accessible. Experienced authors have further refined the story based on fifteen years of classroom experience with the first edition.
The second edition includes about 150 additional exercises and three new project sections. Topics such as Euler's calculation of π², the Weierstrass approximation theorem, and the gamma function provide students with motivating and relevant examples.
This study book aligns with fields such as calculus and mathematical analysis and is used in programs where a deep understanding of analysis is required.
Series: Undergraduate Texts in Mathematics