uy^^if 



SCIENCE 



New Sbkies. TTdtt-. a xr A -dtjtt 1 A 1 RQ7 Single Copies, 16 cts. 



VOL.V. No.120. rKlUAY, ^i.Jr'Kil-. lU, iOE7 I . ANNUAL Sdbsckiption, J5.00. 



IIV PRESS. 



One Volume, 8to, Clotli, about 250 pagfes. 



Elements of the Differential a^ Integral Calculus 



BTT 



Of Lafayette College, Easion, Fa. 



... SOME CHARACTERISTIC FEATURES 



Contains a Chapter on Differential Equations. This distiaguishes it from all other elemen- 

 mentary books and will certainly be greatly in its favor. 



Gives a Table of Integrals arranged for convenience of reference. This Table is weU 

 adapted for ordinary uses and is more extended than any given in books of the same scope. 



There are a number of numerical problems illustrating the text and showing actual appli- 

 cations in engineering practice. In this respect it differs from all other books, and this feature will 

 recommend it especially to engineering departments of Technical Schools. 



The two branches of the Calculus are treated together. This is a very natural treatment, 



making the subject more intelligible and economizing space. 



All the formulas for differentiation are established by the methods of limits. But the 

 method of infinitesimals is fully explained, and the differential notation is used when there is any 

 advantage gained by it. 



More subjects are presented than are usually given in elementary text-books. Important 

 things are treated at considerable length, while less important things are given but a brief treatment. 



The formulas for differentiation are expressed in terms of v, v being a function of x, instead 

 of being expressed directly in terms of x. Hence the necessity of the rule for differentiating a function 

 of a function is avoided. 



The book wiU be shorter than any other book which covers as much ground. It will have 

 about 250 pages. 



The^book is not simply a manual. The effort has been to make the treatment less formal 

 than usual. Illustrations are given in introducing the subject to make the fundamental conceptions as 

 clear as possible. 



Quite a number of historical references are given. 



Circular measure is carefuUy explained. 



The symbol ~ is used for a partial derivative. 



For "arc sin x" the alternative form " sin ~'x" is frequently used. 



D. VAN NOSTRAND COMPANY, Publishers, 



23 Murray and 27 Warren Sts., NEW YORK. 



