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Thisis part one of a two-volume book on real analysis and is intended for seniorundergraduate students of mathematics who have already been exposed tocalculus. The emphasis is on rigour and foundations of The Best Digital Marketing Campaigns in the World: Mastering The Art of Customer Engagement free epub analysis. Beginning withthe construction of the number systems and set theory, the book discusses thebasics of analysis (limits, series, continuity, differentiation, Riemannintegration), through to power series, several variable calculus and Fourieranalysis, and then finally the Lebesgue integral. These are almost entirely setin the concrete setting of the real line and Euclidean spaces, although thereis some material on abstract metric and topological spaces. The book also has appendiceson mathematical logic and the decimal system. The entire text (omitting someless central topics) can be taught in two quarters of 25–30 lectures each. Thecourse material is deeply intertwined with the exercises, as it is intendedthat the student actively learn the material (and practice thinking and writingrigorously) by proving several of the key results in the theory.

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Author: Ellen Miles
Number of Pages: 74 pages
Published Date: 01 Mar 2007
Publisher: Scholastic US
Publication Country: New York, United States
Language: English
ISBN: 9780439793827
Download Link: Click Here
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