Euler's troublesome series: An early example of the use of trigonometric series

✍ Scribed by Louise Ahrndt Golland; Ronald William Golland

• Book ID: 102967033
• Publisher: Elsevier Science
• Year: 1993
• Tongue: English
• Weight: 685 KB
• Volume: 20
• Category: Article
• ISSN: 0315-0860
• DOI: 10.1006/hmat.1993.1006

✦ Synopsis

This paper discusses the role of the series expansion of (1 -g cos to)-. in the works of Leonhard Euler. Two of his papers are considered in detail, his 1748 prize-winning essay on Saturn and Jupiter to the Paris Academy, and his 1756 prize-winning essay, also to the Paris Academy, on planetary perturbations. A close examination of these works indicates that Euler was more concerned with convergence issues than he traditionally has been credited with being.