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 tinder 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 foll(nving terms by the 

 Examiners : "A determination of the circumstances ttnder which 

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

 of maximum or minimum in the Calculus of Variations, and 

 applications to partictdar 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." While the Essay is thus mainly 

 devoted to the consideration of discontinuous sohitions, various 

 other questions in the Calculus of Variations are examined and 

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

 extension and improvement of our knowledge 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. 



