MTH 282 Lecture Notes - Lecture 1: Satb, The Rez, Adit

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Rational numbers ratios of integers f i that my in iff m n m"m n withcondition. Catb c act bc aab. ba cat b c. Idea expand rationals by adding jz so consider number system consisting of expression of where a b are rational cto solve x2 2 the form a bfz mum. 2 c de d tbc ad a 2 212 ate tcb d ne act 2bd cadtbc tr acted bead fz a adz czzd2 so closed underdivision too. Now expand the systemfurtherto include all irrational numbers. Det a complexnumber is an expression of theform at bi real numbers a b are where. Def for a complexnumber 2 atb5 a imaginary part. Note to divide by a complex number x czy5 x7y2 1212. 1. 3 vectors and polar forms geometrically polar coordinates a parallelogram. Def the argument of z b the set of all 0 which are valid withoriginremoved. 0 52 shoe 35 polarform hifi argatosi t ish.

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