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Elliptic Functions and Elliptic Curves

$46.00 USD

Part of London Mathematical Society Lecture Note Series

  • Date Published: May 2013
  • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • format: Adobe eBook Reader
  • isbn: 9781107107427

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  • A comprehensive treatment of elliptic functions is linked by these notes to a study of their application to elliptic curves. This approach provides geometers with the opportunity to acquaint themselves with aspects of their subject virtually ignored by other texts. The exposition is clear and logically carries themes from earlier through to later topics. This enthusiastic work of scholarship is made complete with the inclusion of some interesting historical details and a very comprehensive bibliography.

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    Product details

    • Date Published: May 2013
    • format: Adobe eBook Reader
    • isbn: 9781107107427
    • availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
  • Table of Contents

    Preface
    1. Introductory
    2. Weierstrass functions
    3. Invariants and the modular function
    4. The Jacobi functions
    5. The Riemann surface and the integral of the first kind
    6. Quasi-elliptic functions and integrals of the second and third kinds
    7. The ternary elliptic functions
    8. Transformations and modular relations
    9. Trigonometric expansions
    10. The theta functions
    11. Elliptic curves
    12. The plan curbic
    13. Elliptic quartic curves
    Historical note
    Bibliography
    Index.

  • Author

    Patrick Du Val

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