A Treatise on the Integral Calculus and Its Applications (Classic Reprint): With Numerous Examples: With Numerous Examples (Classic Reprint) - Softcover

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Excerpt from A Treatise on the Integral Calculus and Its Applications: With Numerous Examples

IN writing the present treatise on the integral calculus the object has been to produce a work 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, I have endeavoured to exhibit fully and clearly the principles Of the subject, and to illustrate all their most important results. The process of summation has been repeatedly brought for ward, with the view of securing the attention of the student to the notions which form the true foundation of the Integral Calculus itself, as well as Of its most valuable applications. Considerable space has been devoted to the investigations of the lengths and areas of curves and of the volumes of solids, and an attempt has been made to explain those difficulties which usually perplex beginners - especially with reference to the limits of integrations.

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