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--- math104-s22:notes:lecture-1 [2022/01/18 05:58]
pzhou
+++ math104-s22:notes:lecture-1 [2026/02/21 14:41] (current)
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 ====== Lecture 1 ======
+Exercises:
+  - Ross 1.10, 1.12
+  - Read Ross 'Rational Zero Theorems', then do 2.1, 2.2, 2.7
+  - Try proving Ross Theorem 3.1, 3.2, by yourself, without read his proof. It is a good exercise for logical deduction. Yes, the result may sounds obvious for $\Q$, but you need to prove them for **any** ordered field, which you have no idea what it looks like.
+===== Script =====
 Welcome to Math 104, your first analysis class. You have learned about calculus, knows all about integration, perhaps also the Stokes formula, Green's formula, namely, all the useful things. What do you want to gain from this course?

Lecture Notes