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- This new edition retains many of the basic features of the earlier versions. We still cover sequences, series, functions, limits of sequences and series of functions, differentiation theory, and integration theory. The theory of functions of several variables is explored. And introductions to Fourier analysis and differential equations is included to make the book timely and relevant. In this
- The book normally used for the class at UIUC is Bartle and Sherbert, Introduction to Real Analysis third edition [BS.]. The structure of the beginning of the book somewhat follows the standard syllabus of UIUC Math 444 and therefore has some similarities with [BS.]. A major difference is that we de?ne the Riemann integral using Darboux sums and not tagged partitions. The Darboux approach is
- The book normally used for the class at UIUC is Bartle and Sherbert, Introduction to Real Analysis third edition [BS.]. The structure of the beginning of the book somewhat follows the standard syllabus of UIUC Math 444 and therefore has some similarities with [BS.]. A major difference is that we de?ne the Riemann integral using Darboux sums and not tagged partitions. The Darboux approach is