Real Mathematical Analysis

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Emphasizing visual understanding and challenging problems, this undergraduate real analysis textbook offers a fresh approach to the subject. It covers essential topics such as the construction of real numbers, four-dimensional visualization, point-set topology, and multivariable calculus through differential forms, culminating in a straightforward proof of the Brouwer Fixed Point Theorem. With over 150 illustrations, informal exposition, and engaging commentary from notable mathematicians, the book aims to make real analysis more accessible and enjoyable compared to traditional texts.