Skip to main content Accessibility help
×
Hostname: page-component-78c5997874-s2hrs Total loading time: 0 Render date: 2024-11-05T14:26:54.707Z Has data issue: false hasContentIssue false

2 - Cauchy's 1814 memoir on definite integrals

Published online by Cambridge University Press:  10 October 2009

Frank Smithies
Affiliation:
University of Cambridge
Get access

Summary

2.1. Cauchy's contributions to the development of complex function theory began with his long memoir [1814] on definite integrals; it was presented to Classe I of the Institut de France on 22 August 1814, the day after Cauchy's 25th birthday. The memoir was examined by Legendre and Lacroix, and its publication was recommended in their report [Legendre 1814b], written by Legendre, and dated 7 November 1814. The original intention was that the memoir should appear in the Mémoires présentés à l'Institut des Sciences, Lettres et Arts, par divers savans, but no further issues of this periodical were published because of the reorganisation of the Institut after the the restoration of the Bourbon dynasty. The first volume of the replacement periodical, the Mémoires présentés par divers savans à l'Académie Royale des Sciences de l'lnstitut de France, did not appear until 1827, and did contain both this memoir and Cauchy's prize essay [1815] on the theory of waves.

Because of the long delay in the publication of the 1814 memoir. Cauchy summarised some of its results in various publications between 1814 and 1825 (see Chapter 3 below). By 1823 he was clearly wondering whether it would ever appear in the Academy's publications; in [1823a] he announced that it would probably appear in the next number of the Journal de l'Ecole Polytechnique, but this too was delayed, not being published till 1831, so this scheme did not work.

Type
Chapter
Information
Publisher: Cambridge University Press
Print publication year: 1997

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Save book to Kindle

To save this book to your Kindle, first ensure [email protected] is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about saving to your Kindle.

Note you can select to save to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be saved to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

Find out more about the Kindle Personal Document Service.

Available formats
×

Save book to Dropbox

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Dropbox.

Available formats
×

Save book to Google Drive

To save content items to your account, please confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your account. Find out more about saving content to Google Drive.

Available formats
×