Notices respecting New Books. 315 



Recent Cambridge Mathematical Works. 

 A Treatise on the Differential Calculus, and the Elements of the Inte- 

 gral Calculus, with numerous Examples. By I. '1'odhunter, M.A., 

 Felloiv of St. John's College, Cambridge. Cambridge: Macmillan 

 and Co. 1852. 



A Treatise on Analytical Statics, with numerous Examples. By I. 

 ToDHUNTER, iW..^. (Src. Cambridge: Macmillan and Co. 1853. 



Elementary Mechanics. % J. B. Phear, M.A., Fellow and Mathe- 

 matical Lecturer of Clare Hall, Cambridge. Cambridge : ]\'Iac- 

 millan and Co. 1850. 



Elementary Hydrostatics, with numerous Examples. By J. B. Phear, 



M.A. Sec. Cambridge: iVlacmillan and Co. 1852. 

 Arithmetic and Algebra, in their Principles and Application, with nu- 

 merous systematically arranged Examples, taken from the Cambridge 

 Examination Papers, ivith especial reference to the ordinary Exami- 

 nation for B.A. degree. By Barnard Smith, M.A.. Fellow of 

 St. Peter's College, Cambridge. Second Thousand, jvith an addi- 

 tional Appendix. Cambridge: Macmillan and Co. 1854. 

 The first thing that strikes us in all these publications of Messrs. 

 Macmillan and Co., is the beautiful way in which they are all printed 

 and " got up." Those which contain diagrams and figures have 

 them on the same page as the text, which is a very great convenience 

 to the reader. Most mathematical books of late years have all the 

 plates at the end of the volume (for the sake of cheapness), an ar- 

 rangement which gives constant trouble and annoyance to the stu- 

 dent^ We would gladly pay a shilling or two extra, if necessary, to 

 save all this trouble of turning to the plates every time the figure 

 has to be looked at. We come now to the merits of the works as 

 text- books on their respective subjects. 



The * Difi'erential Calculus ' of Mr. Todhunter is an excellent one, 

 and has already taken its place at Cambridge as the text-book on 

 that subject. We are far from thinking that the author has done 

 all tliat can be done towards making the principles of the Calculus 

 clear and satisfactory ; but he has done a great deal. We can 

 strongly recommend the work to all students, whether at Cambridge 

 or elsewhere. 



The ' Analytical Statics,' by the same author, is, as he states in 

 the preface, little more than a reprint of those portions of Pratt's 

 • Mechanical Philosophy ' which treat of the same subject. The 

 well-known work of Pratt has been the text- book at Cambridge on 

 all the subjects, almost, of which it treats (from elementary mecha- 

 nics up to the planetary theory), ever since its first jjublication. And 

 few books have ever deserved their reputation better. It is a first-rate 

 book, aud we cannot understand why it should be allowed to go out 

 of print, as it now is. The publishers, indeed, announce their inten- 

 tion of issuing the remaining portions of the work under other editors, 

 which may certainly afford an O])portunity of imjiroving the book in 

 various re-sjiccts (for instance, placing the diagrams on the same 

 page as the text instead of at the end) ; but the whole work will 



