Elliptic Functions and Applications

  • Derek F. Lawden

Part of the Applied Mathematical Sciences book series (AMS, volume 80)

Table of contents

  1. Front Matter
    Pages i-xiv
  2. Derek F. Lawden
    Pages 1-23
  3. Derek F. Lawden
    Pages 24-49
  4. Derek F. Lawden
    Pages 50-94
  5. Derek F. Lawden
    Pages 95-113
  6. Derek F. Lawden
    Pages 114-148
  7. Derek F. Lawden
    Pages 149-185
  8. Derek F. Lawden
    Pages 186-206
  9. Derek F. Lawden
    Pages 207-244
  10. Derek F. Lawden
    Pages 245-260
  11. Back Matter
    Pages 261-335

About this book

Introduction

The subject matter of this book formed the substance of a mathematical se am which was worked by many of the great mathematicians of the last century. The mining metaphor is here very appropriate, for the analytical tools perfected by Cauchy permitted the mathematical argument to penetra te to unprecedented depths over a restricted region of its domain and enabled mathematicians like Abel, Jacobi, and Weierstrass to uncover a treasurehouse of results whose variety, aesthetic appeal, and capacity for arousing our astonishment have not since been equaled by research in any other area. But the circumstance that this theory can be applied to solve problems arising in many departments of science and engineering graces the topic with an additional aura and provides a powerful argument for including it in university courses for students who are expected to use mathematics as a tool for technological investigations in later life. Unfortunately, since the status of university staff is almost wholly determined by their effectiveness as research workers rather than as teachers, the content of undergraduate courses tends to reflect those academic research topics which are currently popular and bears little relationship to the future needs of students who are themselves not destined to become university teachers. Thus, having been comprehensively explored in the last century and being undoubtedly difficult .

Keywords

Fourier series Jacobi analytic function elliptic function integral theta function

Authors and affiliations

  • Derek F. Lawden
    • 1
  1. 1.University of Aston in BirminghamBirminghamUK

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4757-3980-0
  • Copyright Information Springer-Verlag New York 1989
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4419-3090-3
  • Online ISBN 978-1-4757-3980-0
  • Series Print ISSN 0066-5452
  • About this book
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