CRITICISMS BY BRITISH WRITERS 263 



advanced much earlier by Berkeley in his Analyst. 

 Mr Philip E. B. Jourdain has found clear indica- 

 tions of this theory in Maclaurin's Fluxions and in 

 Lagrange's Théorie des fonctions analytiques. The 

 method of limits is explained by Carnet in the 

 manner of D'Alembert. ''Of fluxions, indeed," 

 says the reviewer, " as founded on the strange basis 

 of velocity, there is no account." 



Robert Woodhouse^ 1803 



225. In 1803, Robert Woodhouse published his 

 Principles of A nalytical Calculation, ^ Woodhouse had 

 graduated B. A. at Caius College, Cambridge, in 

 1795, as senior wrangler. He then held a scholar- 

 ship and a fellowship at Caius College, devoting 

 himself to mathematics. He has the distinction of 

 being the first to strongly encourage the study in 

 England of the mathematical analysis which had 

 been created on the Continent by Swiss and French 

 mathematicians. In his Principles of Analytical 

 Calculation he discussed the methods of infinitesi- 

 mais and limits, and Lagrange's theory of function, 

 pointing out the merits and defects of each. '' By 

 thus exposing the unsoundness of some of the 

 Continental methods, he rendered his general support 

 of the system far more weighty than if he had 

 appeared to embrace it as a blind partisan. "^ 



226. The ideas set forth in this book are, on the 



^ The Princif^les of Analytical Calculation^ by Robert Woodhouse, 

 A.M., F.R.S. Caniliridge, 1803. 



"^ Art. " Woodhouse, Robert," in Sidney Lee's Dictionary of National 

 Biography. 



