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How is Carathéodory best remembered in mathematics?

  • As a Theorist

  • As an Analyst

  • As a Historian

  • As an Educator

Answer

As an Analyst, Carathéodory is renowned for his contributions to Theory of functions of a complex variable, measure theory, and the calculus of variations. His work on conformal mapping and Theory of prime ends had a profound impact on the field of complex analysis. In measure theory, he introduced the concept of outer measure and developed Theory of Lebesgue-Stieltjes integration.
Mastering the Mind of Constantin Carathéodory: A Mathematical Adventure

Mastering the Mind of Constantin Carathéodory: A Mathematical Adventure

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