1 6 SCIENTIFIC CATALOGUE. 



Todhunter (I, ,)_ continued. 



treatises, he has introduced the methods of abridged notation, 

 which are of more recent origin : these methods, which are of a 

 less elementary character than the rest of the work, are placed in 

 separate chapters, and may be omitted by the student at first. 



A TREATISE ON THE DIFFERENTIAL CALCULUS. 

 With numerous Examples. Fifth Edition. Crown 8vo. cloth. 

 6d. 



The author has endeavoured in the present work to exhibit a compre- 

 hensive view of the Differential Calculus on the method of limits. 

 In the more elementary portions he has entered into considerable 

 detail in the explanations, %vith the hope that a reader who is without 

 the assistance of a tutor may be enabled to acquire a competent ac- 

 quaintance with the subject. The method adopted is that of Dif- 

 ferential Coefficients. To the different chapters are appended 

 Examples sufficiently numerous to render another book unnecessary; 

 these Examples being mostly selected from College Examination 

 Papers. This and the following vvork have been translated into 

 Italian by Professor Battaglini, who in his Preface speaks thus : 

 ' ' In publishing this translation of the Differential and Integral 

 Calculus of Mr. Todhunter, we have had no other object than to 

 add to the books which are in the hands of the students of our Uni- 

 versities, a work remarkable for the clearness of the exposition, the 

 rigour of the demonstrations, the just proportion in the parts, and 

 the rich store of examples which offer a large field for useful 



exercise." 



A TREATISE ON THE INTEGRAL CALCULUS AND ITS 

 APPLICATIONS. With numerous Examples. Third Edition, 

 revised and enlarged. Crown 8vo. cloth. IOJ. 6d. 



This is designed as a ivork at once elementary and complete, adapted 

 for the .use of beginners, and sufficient for the wants of advanced 

 students. In the selection of the propositions, and in the mode of 

 establishing them, it has been sought to exhibit the principles clearly, 

 and to illustrate all their most important restilts. The process of 

 summation has been repeatedly brought fonvard, with the view 

 of securing the attention of the student to the notions which form the 

 true foundation of the Calculus itself, as well as of its most 

 valuable applications. Every attempt has been made to explain those 



