L *" ] 



XXXVII. Notices respecting New Books. 

 An Introduction to the Differential and Integral Calculus and 



Differential Equations. By E. Glanville Taylor, M.A. 



(Longmans, 1899, pp. xxiv+568.) 

 r PHIS is an excellent text-book. At this time of day much 

 ■*- novelty is not to be looked for, and indeed, considering the 

 Author's object, novelty would militate against utility. His aim 

 has been to present each subject in a clear and simple manner, 

 " rather than to introduce any special novelties." In our opinion, 

 after a careful perusal, he has certainly succeeded in investing the 

 subject with interest. All the best authorities have evidently been 

 consulted, and the portions most suitable for students thoroughly 

 assimilated and reproduced in a clear and lucid manner. 



The Differential and Integral Calculus are treated fully, i. e. to 

 the extent suitable for elementary readers, and there is, as has 

 lately been the case in recent similar works, a short but sufficient, 

 for ordinary purposes, account of Elementary DifferentialEquations. 

 There is a very large collection of examples and many useful ones 

 have been clearly worked out, in many cases two, or more, alter- 

 native proofs have been given. The figures have been well drawn 

 and the printing is very clear. The examples are freely distributed 

 throughout the text, and answers immediately follow these exercises. 

 We have noted very few clerical slips. P. 26, Question 7 and 

 the Answer do not agree : p. 27, 1. 2 up, for one + , read — : 

 p. 65, 1. 3 up, for M read N : p. 77, line 1, for XB read XQ : 

 p. 100, 1. 7, read "namely": p. 101, line 3, for "negative" 

 read "positive": p. 143, it might be stated that the 0's (in 

 § 155) are not the same, but general : p. 159, 1. 1 up, for 

 - 3 f read + 3 f : p. 186, D in the figure should be : art. 272, 

 Ex. 1 might have a reference to p. 272, Ex. 5, where the question 

 is discussed further: p. 412, 1. 9 up, for final m read y»'+ n + 2 ; 

 p. 413, 1. 10, read " integrable " : p. 446, 1. 7 up, add "dx" at 

 end: on p. 457 "s" is used in two senses, and so elsew T here : 

 § 464, read x, y, once : p. 498, 1. 3, read ~Ndy : p. 543, 1. 10, for 

 1> read D 4 . All these errors are trifling, and the student would 

 easily detect them. We have tested a fair number of the questions, 

 but where there are so many it is inevitable there should be 

 several slips, but v\ e have not come across them. Af ull " Contents,' 

 two pages of " definitions of theorems in Algebra and Trigonometry," 

 and an "Index" complete the work. 



Science Abstracts, Physics and Electrical Engineering. Vol. II., 



1899. — Issued under the direction of The Institution of 



Electrical Engineers and The Physical Society of London. 



We are glad to record the completion of another volume of this 



excellent publication, which offers to English readers a trustworthy 



outline of nearly all the original work in physics and electrical 



engineering that is published from month to month, either in their 



own or other languages. Absolute completeness in a review of 



this kind is of course unattainable, and where so much is accom- 



