And that are suitable for self-study. I have already been recommended Analysis by Lieb and Loss, would it work? I want to understand analysis well enough to pursue functional analysis and probability using measure theory. I have a degree in physics, I have basic knowledge of linear algebra and calculus in one and multiple variables.
2026-04-03 06:08:59.1775196539
Does anyone know of any analysis books that range from the introduction to undergraduate analysis to graduate real analysis?
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Well, at first Real Analysis is not a short topic, so it will be well to use different books for different topics, but since your interest in One Book, I will recommend Mathematical Analysis by Apostol. In this book you will get touch of everything of undergraduate level Real Analysis and there are also some Advanced chapter like multi-dimensional Riemann integrals, Lebesgue Measure, multi-dimensional Lebesgue Measure etc. Thank you