Lesson 1.pdf - Math 3333 Analysis \u2014\u2013 2018 Summer Shanyu Ji 1 Mathematical Induction Some basic notations Let us denote by Through out this course

Lesson 1.pdf - Math 3333 Analysis u2014u2013 2018 Summer...

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Math 3333 Analysis —– 2018 Summer Shanyu Ji June 11, 2018 1 Mathematical Induction Some basic notations Through out this course, the following notations will be used: Let us denote by Z , the set of all integers (positive, negative or zero. Sometimes, J can be used too). N = { 1 , 2 , 3 , ... } , the set of all positive numbers (i.e., all the natural numbers). Q := { p q | p, q R , q 6 We useto denote “the end of a proof.”What is this course going to study? Why do we need to use logic and reasoning to study mathematics?
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