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Hidden harmony - geometric fantasies : the rise of complex function theory /

Hidden Harmony Geometric Fantasies describes the history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpub...

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Bibliographic Details
Main Authors: Bottazzini, U., Gray, Jeremy (Author)
Format: Printed Book
Language:English
Published: New York : Springer, c2013.
Series:Sources and studies in the history of mathematics and physical sciences.
Subjects:
Table of Contents:
  • Introduction
  • 1. Elliptic functions
  • 2. From real to complex analysis
  • 3. Cauchy's "modern analysis"
  • 4. Complex functions and elliptic integrals
  • 5. Riemann's geometrie function theory
  • 6. Weierstrass's analytic function theory
  • 7. Complex function theory and differential equations
  • 8. Advanced topics in the theory of functions
  • 9. Several complex variables
  • 10. The textbook tradition.