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Conformal Mappings in Complex Analysis: A Comprehensive Review

  • Unique Paper ID: 181705
  • Volume: 10
  • Issue: 1
  • PageNo: 1731-1736
  • Abstract:
  • Conformal mappings, a central concept in complex analysis, have profound applications in physics, engineering, and computational science. This review presents a concise synthesis of foundational theories—such as the Riemann Mapping Theorem, Schwarz-Christoffel transformations, and quasi-conformal maps—alongside their geometric and analytic significance. Classical applications in fluid dynamics, electrostatics, aerodynamics, and medical imaging are examined, emphasizing how conformal techniques simplify boundary-value problems. The article also highlights modern advancements, including numerical methods like zipper algorithms and emerging applications in machine learning and materials science. Bridging theory and innovation, this review serves as both a primer and a reference for researchers and practitioners.
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Cite This Article

  • ISSN: 2349-6002
  • Volume: 10
  • Issue: 1
  • PageNo: 1731-1736

Conformal Mappings in Complex Analysis: A Comprehensive Review

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Impact Factor
8.01 (Year 2024)
UGC Approved
Journal no 47859

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