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Elliptic Functions and Elliptic Curves

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Elliptic Functions and Elliptic Curves

Elliptic Functions and Elliptic Curves

Patrick Du Val
October 1973
Paperback
9780521200363
AUD$79.95
inc GST
Paperback
USD
eBook
    Description

    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.

    Product details

    October 1973
    Paperback
    9780521200363
    256 pages
    229 × 152 × 15 mm
    0.38kg
    Available

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    Contents

    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.
      • Show more

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