Transcription of Complex Analysis Lecture Notes - math.ucdavis.edu
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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 .
has animated versions of Escher’s lithograph brought to life using the math-ematics of complex analysis. •Complex dynamics, e.g., the iconic Mandelbrot set. See Fig. 2. There are many other applications and beautiful connections of complex analysis to other areas of mathematics. (If you run across some interesting ones, please let me know!)
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