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CAMBRIDGE:
PRINTED AT THE UNIVERSITY PRESS,
PUBLISHED BY J. AND J. J. DEIGIITON;

AND SOLID BY

SIMPKIN, MARSHALL & CO., AND GEORGE BELL, LONDON

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B PREFACE.

The chief object of the present work is, as its title indicates, to furnish to the student examples by which to illustrate the processes of the Differential and Integral Calculus. In this respect it will be seen to agree with Professor Peacock's Collection of Examples ; and indeed if a second edition of that excellent work had been published I should not have undertaken the task of making this compilation. But as Professor Peacock informed me that he had not leisure to superintend the publication of a second edition of his “ Examples” which had been long out of print, I thought that I should do a service to students by preparing a work on a similar plan, but with such modifications as seemed called for by the increased cultivation of Analysis in this University. Accordingly I have not limited myself to the mere collection of Examples and Problems illustrative of Theorems given in Elementary Treatises on the subject, but I have also introduced demonstrations of propositions which, although important and interesting, do not usually find a place in works devoted to the exposition of the principles of the Calculus. I wished by these means to render this Collection, as it were, complementary to those works, and, with the view of allowing it to be

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