Geometric complex analysis

  • What is complex geometric shapes?

    A complex shape is a single element comprised of multiple segments.
    Although a single line, arc, and point is rather easily identified, certain other elements are more difficult to assess..

  • Geometric analysis is a mathematical discipline where tools from differential equations, especially elliptic partial differential equations (PDEs), are used to establish new results in differential geometry and differential topology.
    The use of linear elliptic PDEs dates at least as far back as Hodge theory.
May 9, 2017Basic examples and techniques in complex analysis have been developed over a century into sophistication methods in analysis.
In complex analysis, geometric methods provide both a natural language for analyzing and recasting classical problems and also a rubric for posing new problems. The interaction between the classical and the modern techniques is both rich and rewarding.

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