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ADVANCED CALCULUS

ADVANCED CALCULUSL ecture notes forMA 440/540 & 441/5412015/16 Rudi Weikard12345x-2-11logHxLBased on lecture notes by G. Stolz and G. WeinsteinVersion of September 3, 20161 ContentsFirst things The The The language of mathematics3 Chapter 1. The real Field Order The induction Counting and The least upper bound axiom11 Chapter 2. Sequences and Sums and the Series18 Chapter 3. A zoo of functions23 Chapter 4. Limits of Continuous The intermediate value theorem and some of its Uniform convergence and continuity29 Chapter 5.

The induction principle 8 1.4. Counting and in nity 10 1.5. The least upper bound axiom 11 Chapter 2. Sequences and series 15 ... The challenger may present his or her solution or ... objections). Its written version will then be \published" by uploading it to Canvas (it should have a title and the list of authors). The presenter and, if ...

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  Advanced, Version, Calculus, Challenger, Advanced calculus

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