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Decks in this class (9)
Chapter 4: Contour Integration and Cauchy's Theorem
Definition of curve 1,
Definition of smooth curve 2,
Parametrisation of line segment 3
19
cards
Chapter 5: Consequences of Cauchy’s Theorem
Deformation theorem 1,
Cauchy s integral formula 2,
Liouville s theorem 3
5
cards
Chapter 2: Complex Numbers & Topology Of Complex Plane
Properties of complex numbers 1 1,
Properties of complex numbers 2 2,
Triangle inequality 3
5
cards
Chapter 3: Holomorphic Functions
Definition of differentiable 1,
Formal definition of limit 2,
Theorem 34 3
15
cards
Chapter 6: Harmonic Functions
Define harmonic function 1,
Harmonic function breakdown 2,
Harmonic function on open disc im...
5
cards
Chapter 7: Singularities, Poles and Residues
Define isolated singularity 1,
Define laurent series 2,
Define types of isolated singular...
10
cards
Chapter 8: Applications of Contour Integration
Indentation at a simple pole 1,
Jordan s inequality 2,
Cot z bound 3
3
cards
Chapter 9: Logarithms and Related Multifunctions
Define complex exponent power 1,
Log z derivative 2,
Define zero of order m 3
6
cards
Chapter 10: Locating and Counting Zeros and Poles
0
cards
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MT3503: Complex Analysis
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