section help

ineeedhelp

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hi,
I'm using brown churchill complex variables and application 8th edition.

these are the titles of the sections

5 Series 181
Convergence of Sequences 181
Convergence of Series 184
Taylor Series 189
Proof of Taylor’s Theorem 190
Examples 192
Laurent Series
197
Proof of Laurent’s Theorem 199
Examples 202
Absolute and Uniform Convergence of Power Series 208
Continuity of Sums of Power Series 211
Integration and Differentiation of Power Series 213
Uniqueness of Series Representations 217
Multiplication and Division of Power Series 222
6 Residues and Poles 229
Isolated Singular Points 229
Residues 231
Cauchy’s Residue Theorem 234
Residue at Infinity 237
The Three Types of Isolated Singular Points 240
Residues at Poles 244
Examples 245
Zeros of Analytic Functions 249
Zeros and Poles 252
Behavior of Functions Near Isolated Singular Points 257
7 Applications of Residues 261
Evaluation of Improper Integrals 261
Example 264
Improper Integrals from Fourier Analysis 269
Jordan’s Lemma 272
Indented Paths 277
An Indentation Around a Branch Point 280
Integration Along a Branch Cut 283
Definite Integrals Involving Sines and Cosines 288
Argument Principle 291
Rouch´e’s Theorem 294
Inverse Laplace Transforms 298
Examples 301


I need to find the section that covers
evaluating contour integrals via the residue method
and
types of singularities.

but i'm not really sure which part is exactly coveringthem. can anyone please help?
thank you
 
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