"Pugh: Real Mathematical Analysis" is a comprehensive textbook based on an honors course taught by Charles Chapman Pugh at the University of California, Berkeley. This book offers an innovative introduction to real analysis at the university level, placing particular emphasis on the importance of visual representations and challenging problems. It covers a variety of topics, including the natural construction of the real numbers, four-dimensional visualizations, basic point-set topology, functional analysis, and multivariable analysis through differential forms. The author's informal and relaxed writing style, complemented by numerous helpful notes, examples, and humorous comments, makes learning more accessible and enjoyable. With over 150 detailed illustrations, abstract concepts and key points in proofs are clearly explained. The second edition also introduces new approaches to Lebesgue integration, further enhancing the clarity and applicability of the theory.