380 JS^otices respecting New Books.. 



compounds, carbon, silicon, titanium, zirconium, and boron com- 

 pounds. Then comes a section dealing with the part played by 

 nitrogen in closed ring systems, alkaloids and proteids, and lastly 

 a section devoted to the det'ection and estimation of nitrogen in 

 analytical operations. An index is provided at the end of the 

 book. 



Haiijptsiitze der iJifferential und Integral Recltnumj cds Leitfaden 

 zum GehraucJi hei Vorlesungen zusammengestellt von Dr. Robert 

 Fricke. Braunschweig : F. Vieweg und Sohn. 1902. 



We commend this book to the consideration of those among us 

 who would like to see the technical student burdened with no more 

 mathematics than what seems to be necessary for his needs. The 

 teachers of pure mathematics and even of applied mathematics in 

 our colleges have been accused of not merely giving the embryo 

 engineer more mathematics than he needed, but of neglecting to 

 teach him some of the most necessary parts. Now here we have 

 a book on the calculus, not in the author's opinion a treatise on 

 the subject, btit simply a compilation of the principal theorems in 

 a form useful for the student in the Technical ' Hochschule ' of 

 Brunswick, and intended to be an aid to him as he attends lectures 

 on the higher mathematics. It begins with a discussion of functions, 

 treated to a large extent graphically, and then passes on to the 

 theory of limits, differentiation, and the usual discussion of maxima 

 and minima, properties of plane curves, infinite series, very much 

 as we find in similar mathematical courses throughout our country. 

 Then follows integration with the usual applications in Georfletry 

 and Algebra, then an introduction to differential equations, finishing 

 with an appendix on the complex variable. The Grerman technical 

 student evidently gets strong meat, and there is no evidence that 

 his special practical wants are considered. Some of the demon- 

 strations are new, at all events to readers of English books, and these 

 demonstrations are essentially analytical. If we leave the preface 

 out of account, there is nothing in any of the chapters which would 

 lead a reader to infer that the author had the technical sttident 

 particularly in mind. The book is, in fact, an admirable epitome 

 of a first course on the infinitesimal calculus. 



Mathematical PajMrs hy the late George Green. Paris : Libraire 

 Scientifique. A. Hermann : Libraire de S.M. le Eoi de Suede 

 et de iSorwege. 1903. 



This is a fac-simile reprint of Ferrers' edition of G-reen's famous 

 papers. It has evidently been reproduced by a process of photo- 

 lithography, the only page printed from type being the title-page, 

 which differs of necessity from the title-page in the original 

 edition. The reproduction has been remarkably well done, and can 

 be recommended to those who do not possess the original book. 



