Items related to Acta Mathematica, 1908, Vol. 31

Acta Mathematica, 1908, Vol. 31 - Softcover

Zeitschrift; Journal

 
9780259218098: Acta Mathematica, 1908, Vol. 31

Synopsis

This book demonstrates how to transform multiple analytical functions on a given surface into a single uniform function on another surface. Especially useful in mathematics, this transformation is applicable across multiple scientific disciplines. The author provides detailed steps for uniformizing functions, including how to define domains to represent functions and their corresponding surfaces. The author introduces the concept of the Green function and demonstrates how it can be used to represent a surface in a way that simplifies further calculations. Auxiliary functions are introduced to ensure convergence and avoid specific problematic points. The author considers various scenarios where the initial surface is either simply or multiply connected. This book provides valuable insights for mathematicians seeking a comprehensive understanding of function uniformization.

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