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ADVANCED CALCULUS

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ADVANCED CALCULUSLecture notes forMA 440/540 & 441/5412015/16Rudi Weikard12345x-2-11logHxLBased on lecture notes by G. Stolz and G. WeinsteinVersion of September 3, 20161ContentsFirst things The The The language of mathematics3Chapter 1. The real Field Order The induction Counting and The least upper bound axiom11Chapter 2. Sequences and Sums and the Series18Chapter 3. A zoo of functions23Chapter 4. Limits of Continuous The intermediate value theorem and some of its Uniform convergence and continuity29Chapter 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 ...

  Advanced, Version, Calculus, Challenger, Advanced calculus

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