Publisher's Synopsis
Excerpt from A Treatise on the Differential Calculus: With Numerous Examples
I have endeavoured in the present work to exhibit a comprehensive view of the Differential Calculus on the method of Limits. In the more elementary portions I have entered into considerable detail in the explanations with the hope that a reader who is without the assistance of a tutor may be enabled to acquire a competent acquaintance with the subject. To the different chapters will be found appended Examples sufficiently numerous to render another book unnecessary. These examples have been selected almost exclusively from the College and University Examination Papers: the greater part of them will be found to present no very serious difficulty to the student, although a few may require peculiar analytical skill.
I have frequently given more than one investigation of a theorem, because I believe that the student derives advantage from viewing the same proposition under different aspects, and that, in order to succeed in the examinations which he may have to undergo, he should be prepared for a considerable variety in the order of arranging the several branches of the subject, and for a corresponding variety in the mode of demonstration.
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