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Quantum Engineering Year 0: Mathematical Foundations Month 5Day 128

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Year 0·Month 5·Week 3

Day 128: The Complex Plane — Topology and Geometry

Day 128 of 2,016~13 min read

Learning Objectives

•Work with sets in the complex plane
•Understand open, closed, and compact sets
•Define limits and continuity for complex functions
•Work with sequences and series in ℂ
•Understand the extended complex plane (Riemann sphere)
•Describe paths and curves in the complex plane

Today's Schedule (7 hours)

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On this page

1 Sets in the Complex Plane 2 Interior Boundary and Exterior Points 3 Open and Closed Sets 4 Connected and Simply Connected Sets 5 Bounded and Compact Sets 6 Limits in 7 Continuity 8 The Extended Complex Plane 9 Paths and Curves Quantum Mechanics Connection State Space Topology Path Integrals Preview Berry Phase

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