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Focusing on advanced topics in several complex variables, this monograph explores essential concepts such as the Cauchy Integral Formula, holomorphic functions, and plurisubharmonic functions. It uniquely addresses contemporary issues like modular forms relevant to Wiles' theorem and the intersection of quantum theory and general relativity. Additionally, it introduces the Riemann manifold, extending the familiar Riemann surface concept. The text emphasizes problem-solving by presenting many theorems as exercises, fostering a structured learning experience for students.
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Lectures on Several Complex Variables, Paul M. Gauthier
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- 2016
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