The collected mathematical papers of arthur cayley, scd, frs


The collected mathematical papers of arthur cayley, scd, frs

Play all audios:


ABSTRACT THIS instalment of the papers illustrates in a remarkable way Cayley's power of commenting upon and developing the work of his predecessors. The various memoirs on single and


double theta-functions are, of course, based upon the results of Rosenhain, Göpel, and Kummer; and it is instructive to see how Cayley's instinct for symmetry and logical consistency


has enabled him to present the theory in a compact and intelligible form. In the case of the single theta-functions, defined by their expansions in series, we have equations such as and from


these it appears that any three of the squared functions θ2_gh_(_u_) are connected by a linear relation. Hence we may take the squared functions to be proportional to A(_a-x_), B(_b-x_),


(_c-x_), D(_d-x_) with _x_ a variable, and the other quantities constant. Finally it is shown that _x_ and _u_ are connected by a differential equation of the form The Collected Mathematical


Papers of Arthur Cayley, Sc.D., F.R.S. Vols. x., xi. Pp. xiv + 616; xvi + 644. (Cambridge: at the University Press, 1896.) Access through your institution Buy or subscribe This is a preview


of subscription content, access via your institution ACCESS OPTIONS Access through your institution Subscribe to this journal Receive 51 print issues and online access $199.00 per year only


$3.90 per issue Learn more Buy this article * Purchase on SpringerLink * Instant access to full article PDF Buy now Prices may be subject to local taxes which are calculated during checkout


ADDITIONAL ACCESS OPTIONS: * Log in * Learn about institutional subscriptions * Read our FAQs * Contact customer support Authors * G. B. M. View author publications You can also search for


this author inPubMed Google Scholar RIGHTS AND PERMISSIONS Reprints and permissions ABOUT THIS ARTICLE CITE THIS ARTICLE M., G. The Collected Mathematical Papers of Arthur Cayley, ScD, FRS.


_Nature_ 58, 50 (1898). https://doi.org/10.1038/058050a0 Download citation * Issue Date: 19 May 1898 * DOI: https://doi.org/10.1038/058050a0 SHARE THIS ARTICLE Anyone you share the following


link with will be able to read this content: Get shareable link Sorry, a shareable link is not currently available for this article. Copy to clipboard Provided by the Springer Nature


SharedIt content-sharing initiative