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Handbook of Elliptic Integrals for Engineers and Physicists

  • Book
  • © 1954

Overview

Authors:
  1. Paul F. Byrd

    1. National Advisory Committee For Aeronautics (U.S.A.), Fisk University, USA

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  2. Morris D. Friedman

    1. National Advisory Committee For Aeronautics (U.S.A.), USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 67)

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Table of contents (15 chapters)

  1. Front Matter

    Pages II-XII
    Download chapter PDF

  2. Introduction

    • Paul F. Byrd, Morris D. Friedman
    Pages 1-7

  3. Definitions and Fundamental Relations

    • Paul F. Byrd, Morris D. Friedman
    Pages 8-41

  4. Reduction of Algebraic Integrands to Jacobian Elliptic Functions

    • Paul F. Byrd, Morris D. Friedman
    Pages 42-161

  5. Reduction of Trigonometric Integrands to Jacobian Elliptic Functions

    • Paul F. Byrd, Morris D. Friedman
    Pages 162-181

  6. Reduction of Hyperbolic Integrands to Jacobian Elliptic Functions

    • Paul F. Byrd, Morris D. Friedman
    Pages 182-190

  7. Table of Integrals of Jacobian Elliptic Functions

    • Paul F. Byrd, Morris D. Friedman
    Pages 191-222

  8. Elliptic Integrals of the Third Kind

    • Paul F. Byrd, Morris D. Friedman
    Pages 223-239

  9. Miscellaneous Elliptic Integrals Involving Trigonometric and Hyperbolic Integrands

    • Paul F. Byrd, Morris D. Friedman
    Pages 240-248

  10. Elliptic Integrals Resulting from Laplace Transformations

    • Paul F. Byrd, Morris D. Friedman
    Pages 249-251

  11. Hyperelliptic Integrals

    • Paul F. Byrd, Morris D. Friedman
    Pages 252-271

  12. Integrals of the Elliptic Integrals

    • Paul F. Byrd, Morris D. Friedman
    Pages 272-281

  13. Derivatives

    • Paul F. Byrd, Morris D. Friedman
    Pages 282-287

  14. Miscellaneous Integrals and Formulas

    • Paul F. Byrd, Morris D. Friedman
    Pages 288-296

  15. Expansions in Series

    • Paul F. Byrd, Morris D. Friedman
    Pages 297-306

  16. Erratum

    • Paul F. Byrd, Morris D. Friedman
    Pages 359-361

  17. Back Matter

    Pages 307-355
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Keywords

About this book

Engineers and physicists are more and more encountering integrations involving nonelementary integrals and higher transeendental functions. Such integrations frequently involve (not always in immediately re­ cognizable form) elliptic functions and elliptic integrals. The numerous books written on elliptic integrals, while of great value to the student or mathematician, are not especially suitable for the scientist whose primary objective is the ready evaluation of the integrals that occur in his practical problems. As a result, he may entirely avoid problems which lead to elliptic integrals, or is likely to resort to graphical methods or other means of approximation in dealing with all but the siruplest of these integrals. It became apparent in the course of my work in theoretical aero­ dynamics that there was a need for a handbook embodying in convenient form a comprehensive table of elliptic integrals together with auxiliary formulas and numerical tables of values. Feeling that such a book would save the engineer and physicist much valuable time, I prepared the present volume.

Authors and Affiliations

  • National Advisory Committee For Aeronautics (U.S.A.), Fisk University, USA

    Paul F. Byrd

  • National Advisory Committee For Aeronautics (U.S.A.), USA

    Morris D. Friedman

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