APPLICATION OF COMPLEX ANALYSIS TO SOLVING CONTEMPORARY MATHEMATICS CHALLENGES
Abstract
This research analyzes the application of complex analytics in addressing current mathematical challenges. This research utilizes various journals that demonstrate complex analytical strategies and complex mathematical problem-solving techniques using a qualitative approach. The results show that complex analysis has proven to be an effective tool for exploring complex mathematical structures and finding elegant solutions. Various concepts such as complex integrals, remainder theorems, and analytic functions are widely used to understand and solve various modern mathematical problems such as number theory, differential geometry, and harmonic analysis. This study also identifies new trends and challenges in the application of complex analysis, such as integration with numerical methods and extension to new areas such as graph theory. The practical implication of the results of this study is to broaden the understanding and application of complex analysis in solving increasingly complex modern mathematical problems
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