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Complex integration - math arizona 2025

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Chapter 1 of the document focuses on complex integration, covering topics such as complex numbers, closed and exact forms, Cauchy-Riemann equations, and the Cauchy integral theorem. It introduces various mathematical concepts including identities for complex conjugates and absolute values, power series expansions for logarithmic and trigonometric functions, and residue calculus. The chapter also discusses analytic functions, branch cuts, Riemann surfaces, and provides examples of residue calculations along with problems for further practice.

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