Handbook of Elliptic Integrals for Engineers and Scientists

  • Paul F. Byrd
  • Morris D. Friedman

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

Table of contents

  1. Front Matter
    Pages N1-XVI
  2. Paul F. Byrd, Morris D. Friedman
    Pages 1-7
  3. Paul F. Byrd, Morris D. Friedman
    Pages 8-41
  4. Paul F. Byrd, Morris D. Friedman
    Pages 42-161
  5. Paul F. Byrd, Morris D. Friedman
    Pages 162-181
  6. Paul F. Byrd, Morris D. Friedman
    Pages 182-190
  7. Paul F. Byrd, Morris D. Friedman
    Pages 191-222
  8. Paul F. Byrd, Morris D. Friedman
    Pages 223-239
  9. Paul F. Byrd, Morris D. Friedman
    Pages 249-251
  10. Paul F. Byrd, Morris D. Friedman
    Pages 252-271
  11. Paul F. Byrd, Morris D. Friedman
    Pages 272-281
  12. Paul F. Byrd, Morris D. Friedman
    Pages 282-287
  13. Paul F. Byrd, Morris D. Friedman
    Pages 288-297
  14. Paul F. Byrd, Morris D. Friedman
    Pages 298-307
  15. Back Matter
    Pages 308-360

About this book

Introduction

Engineers and physicists are more and more encountering integrations involving nonelementary integrals and higher transcendental 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 simplest 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.

Keywords

Elliptisches Integral Imaginary Integrals Theta function Volume algebra approximation dynamics elliptic function evaluation form integral integration object time

Authors and affiliations

  • Paul F. Byrd
    • 1
  • Morris D. Friedman
    • 1
  1. 1.Aeronautical Research Scientist National Advisory Committee For AeronauticsPalo Alto, SaratogaUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-65138-0
  • Copyright Information Springer-Verlag Berlin Heidelberg 1971
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-642-65140-3
  • Online ISBN 978-3-642-65138-0
  • Series Print ISSN 0072-7830
  • About this book