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Math 4516: Topics in Analysis
Topics covered: Taylor series and approximation, Measure theory, Lebesque integral, Metric spaces; additional topics as appropriate for the particular class.
This class is a continuation of Math 3515, Analysis 1. Hence, I will frequently refer to it as "Analysis 2".
Prerequisite: Math 3515 (Analysis 1)
Textbook: We will be using the online resource Interactive Real Analysis, as well as the cheap and useful Dover(*) text book Introductory Real Analysis by Kolmogorov and Fomin. Additional resources will be made available as needed.
(*) Dover text books for Math are classic text books in mathematics, reprinted in paperback format, available for an incredibly low price - get as many Dover books as you can get, they are (almost) all good to have and for the price you can't go wrong..
Software: We will make use of the DyKnow client software. Please download and install that software.
Bert G. Wachsmuth