§7.1. Evaluation of Improper Integrals §7.2. Examples §7.3. Improper Integrals From Fourier Analysis §7.4. Jordan’s Lemma §7.5. Indented Paths §7.6. An Indentation Around a Branch Point §7.7. Definite Integrals Involving Sine and Cosine §7.8. Argument Principle §7.9. Rouche’s Theorem
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§8.1. Conformal mappings §8.2. Unilateral Functions §8.3. Local Inverses §8.4. Affine Transformations §8.5. The Transformation = /1 zw §8.6. Mappings by /1 z §8.7. Fractional Linear Transformations §8.8. Cross Ratios §8.9. Mappings of the Upper Half Plane
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