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Complex Analysis Lecture Notes - math.ucdavis.edu

Complex Analysis Lecture NotesDan created these Notes for the courseMath 205A: Complex AnalysisItaught at UC Davis in 2016 and 2018. With a few exceptions, the expositionfollows the textbookComplex Analysisby E. M. Stein and R. Shakarchi (Prince-ton University Press, 2003). The Notes were not heavily vetted for accuracy andmay contain minor typos or errors. You can help me continue to improve themby emailing me with any comments or corrections you am grateful to Jianping Pan, Anthony Nguyen, Christo-pher Alexander, Brynn Caddel, Jennifer Brown, and Brad Velasquez for com-ments that helped me improved the Notes .

These notes are about complex analysis, the area of mathematics that studies analytic functions of a complex variable and their properties. While this may sound a bit specialized, there are (at least) two excellent reasons why ... •Solving physics problems in hydrodynamics, heat conduction, electro-statics and more.

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