hw2 - • Problems 3.1(ii 3.2(ii,iv 3.6(i,iv 3.8(ii...

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Mathematics 185 – Intro to Complex Analysis Fall 2005 – M. Christ Problem Set 2 Notation : x.y denotes exercise y of chapter x . Please read Chapters 2 and 3 of our text. Due Tuesday September 13: Problems 2.7 (see below for definition of an equivalence relation), 2.9 (do only the first two in the right-hand column), 2.10 (i,ii,vi) (No proofs are required here.)
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Unformatted text preview: • Problems 3.1 (ii), 3.2 (ii,iv), 3.6 (i,iv), 3.8 (ii), 3.11 (i,iii), 3.15 (Skip the second part.) A relation ∼ on a set S is an equivalence relation if the following three conditions are satisfied for all x, y, z ∈ S . (i) x ∼ x . (ii) If x ∼ y then y ∼ x . (iii) If x ∼ y and y ∼ z , then x ∼ z ....
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