THE ELEMENTS OF THE 



DIFFERENTIAL AND INTEGRAL 



CALCULUS 



By J. W. A. YOUNG 



Assistant Professor of Mathematical Pedagogy in the University of Chicago 



And C. E. LINEBARGER 



Instructor in Chemistry and Physics in the Lake View High School, Chicago 



Based on M Kurzgefasstes Lehrbuch der Differential- und Integralrechnung," 



by W. NE8NST, Professor of Physical Chemistry in the University 



of Gbttingen, and A SCHONFLIES, Professor of Mathematics 



in the University of Gbttingen 



Large 12mo, pp. xvii + 410. Cloth, $2.20 



THIS work furnishes an elementary course in the Calculus 

 which is simple and yet not loose. The progress of the 

 subject in the nineteenth century is constantly borne in mind ; 

 the method of limits is used throughout, and great stress is laid 

 upon clear and careful discussion of the fundamental principles 

 and methods. The new and characteristic definitions of the 

 Calculus are introduced by the preliminary consideration of spe- 

 cial and simple problems, which lead the student to see the need 

 for setting up the new definitions and studying their properties 

 and consequences. These introductory problems are not select- 

 ed from the domain of mathematics alone, but from that of the 

 natural sciences as well, and indeed throughout the entire work 

 the applications of the Calculus to the treatment of natural 

 phenomena are given much prominence, both because of their 

 intrinsic importance and because of the great added interest 

 which their introduction lends to the subject. 



D. APPLETON AND COMPANY, 72 Fifth Avenue, New York 



