Complex Analysis: Theory and Applications · Problem 1.4.4

Complex Numbers — Howell & Matthews

Mathematics — Complex Analysis · arg-set-inclusion

Problem

Show that arg⁡z1+arg⁡z2⊆arg⁡(z1z2)\arg z_1 + \arg z_2 \subseteq \arg(z_1 z_2), thus completing the proof of Theorem 1.3.

Related theory

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