Complex Analysis in plain view

Subject classification: this is a mathematics resource.

Complex Functions

Complex Functions (1.A.pdf, 1.B.pdf, 1.C.pdf)

Complex Exponential and Logarithm (5.A.pdf, 5.B.pdf)

Complex Trigonometric and Hyperbolic (7.A.pdf, 7.B.pdf)

Complex Function Note

1. Exp and Log Function Note (H1.pdf)

2. Trig and TrigH Function Note (H1.pdf)

3. Inverse Trig and TrigH Functions Note (H1.pdf)

Complex Integrals

Complex Integrals (2.A.pdf, 2.B.pdf, 2.C.pdf)

Complex Series

Complex Series (3.A.pdf, 3.B.pdf, 3.C.pdf)

Residue Integrals

Residue Integrals (4.A.pdf, 4.B.pdf, 4.C.pdf)

Residue Integrals Note

Laurent Series with the Residue Theorem Note (H1.pdf)
Laurent Series with Applications Note (H1.pdf)
Laurent Series and the z-Transform Note (H1.pdf)
Laurent Series as a Geometric Series Note (H1.pdf)

Laurent Series and the z-Transform Example Note

Overview (H1.pdf)

Geometric Series Examples

Causality (A.pdf, B.pdf)

Time Shift (A.pdf, B.pdf)

Reciprocity (A.pdf, B.pdf)

Combinations (A.pdf, B.pdf)

Applications (A.pdf, B.pdf)

Double Pole Case

- Examples (A.pdf, B.pdf)

- Properties (A.pdf, B.pdf)

The Case Examples

Example Overview : (0A.pdf, 0B.pdf)
Example Case 1 : (1A.pdf, 1B.pdf)
Example Case 2 : (2A.pdf, 2B.pdf)
Example Case 3 : (3A.pdf, 3B.pdf)
Example Case 4 : (4A.pdf, 4B.pdf)
Example Summary : (5A.pdf, 5B.pdf)

Conformal Mapping

Conformal Mapping (6.A.pdf, 6.B.pdf)

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