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Synopsis
This beautifully written text starts with proofs and sets in the first 40 pages and continues in the rest of Parts I and II to maintain an ongoing emphasis on the construction of proofs, demonstrating proper skills through detailed examples using the "forward-backward" method. *One of the texts greatest strengths are the problem sets, which are many and varied. *Offers a wide range of problem material guiding readers through large projects and allowing them to explore and develop interest in near research-level topics. *Presents the most abstract subject matter in terms that relate to students experience in calculus, rather than ignoring or downplaying the value of this experience. *Depicts the structure of the real number system as a collection of closely interrelated properties, rather than simply a list of theorems.
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Michael J. Schramm has a Ph.D. from Syracuse University.
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Introduction to Real Analysis
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