The discussion centers on Dragoslav Mitrinovic's book, "Calculus of Residues," which focuses on the residue theorem in complex analysis. The book contains 111 problems that apply the residue theorem, covering topics such as direct applications, integration along the real axis, rational functions of sine and cosine, and summation of series. It includes complete examples followed by exercises for independent practice, making it a valuable resource for those studying complex analysis.
PREREQUISITESStudents and professionals in mathematics, particularly those specializing in complex analysis, as well as educators seeking problem sets for teaching the residue theorem.
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[*] Introduction
[*] Direct application of the residue theorem
[*] Integration along the real axis
[*] Rational functions of cos\theta and sin\theta
[*] Summation of series
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