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Elliptic Functions

In: Differential and Complex Geometry: Origins, Abstractions and Embeddings

Author

Listed:
  • Raymond O. Wells Jr.

    (University of Colorado Boulder
    Jacobs University Bremen)

Abstract

The classical single-valued trigonometric functions could be viewed as the inverses of specific integrals of algebraic functions of degree two. Abel and Jacobi created the theory of elliptic functions of a complex variable which were inverses of elliptic integrals, and these turned out to be doublyperiodic functions on the complex plane with specific kinds of singularities. These functions became models for the general theory of meromorphic functions in the late nineteenth century.

Suggested Citation

  • Raymond O. Wells Jr., 2017. "Elliptic Functions," Springer Books, in: Differential and Complex Geometry: Origins, Abstractions and Embeddings, chapter 0, pages 97-112, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-58184-2_8
    DOI: 10.1007/978-3-319-58184-2_8
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