Understanding Analysis by Stephen Abbott is an English-language textbook that focuses on functions of real variables and is intended for students who want to deepen their understanding of mathematical analysis. This second volume builds on fifteen years of classroom experience with the first edition, refining the narrative and expanding it with about 150 new exercises and additional project sections.
The book covers core concepts such as the Weierstrass approach, Euler’s computation of π², and the gamma function. The text combines accessible, informal discussions with precise and rigorous methods to promote insight into analysis. By emphasizing the transition from finite to infinite processes, it helps students build a solid foundation for understanding and writing mathematical proofs.
The content is aligned with fields such as calculus and mathematical analysis. The title is part of the Undergraduate Texts in Mathematics series and provides a clear, coherent structure for beginning users of analysis.