i8 SCIENTIFIC CATALOGUE. 



Todhunter (I.) continued. 

 A HISTORY OF THE MATHEMATICAL THEORY OF 



PROBABILITY, from the Time of Pascal to that of Laplace. 



8vo. i&r. 



The subject of this work has high claims to consideration on account 

 of the subtle problems which it involves, the valuable contributions 

 to analysis which it has produced, its important practical applica 

 tions, and the eminence of those who have cultivated it ; nearly 

 every great mathematician within the range of a century and 

 a half comes iinder consideration in the course of the history. The 

 author has endeavoured to be quite accurate in his statements, and 

 to reproduce the essential elements of the original works which he 

 has analysed. Besides being a history, the work may claim the title 

 of a comprehensive treatise on the Theory of Probability, for it 

 assumes in the reader only so much knowledge as can be gained from 

 an elementary book on Algebra, and introduces him to almost every 

 process and every special problem which the literature of the subject 

 can furnish. 



RESEARCHES IN THE CALCULUS OF VARIATIONS, 

 Principally on the Theory of Discontinuous Solutions : An Essay 

 to which the Adams' Prize was awarded in the University of 

 Cambridge in 1871. 8vo. 6s. 



The subject of this Essay was prescribed in the follcnving terms by the 

 Examiners : "A determination of the circumstances lender w^zc/i 

 discontinuity of any kind presents itself in the solution of a problem 

 of maximum or minimum in the Calculus of Variations, and 

 applications to particular instances. It is expected that the discus 

 sion of the instances should be exemplified as far as possible geo 

 metrically, and that attention be especially directed to cases of real or 

 supposed failure of the Calculus.' 1 '' While the Essay is thus mainly 

 devoted to the consideration of discontinuous solutions, various 

 other questions in the Calculus of Variations are examined and 

 elucidated ; and the author hopes he has definitely contributed to thf 

 extension and improvement of our knmvledge of this refined depart 

 ment of analysis. 



Wilson (W. P.) A TREATISE ON DYNAMICS. By 

 W. P. WILSON, M.A., Fellow of St. John's College, Cambridge, 

 and Professor of Mathematics in Queen's College, Belfast. 8vo. 



