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Analytic Functions, Part II

pages 1-17:

POLES, RESIDUES and PRINCIPAL VALUED INTEGRALS.

Poles and their order,
Definition of Residues,
The Residue Theorem,
Residue calculation examples,
Residues at z=infinity,
Principal Values: Poles on a contour,
Principal Values: Dispersion relations,
pages 18-38:

APPLICATION to REAL DEFINITE INTEGRALS and SUMS.