Page:The Sources of Standard English.djvu/478

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Todhunter (I.) — continued. chapters are appended examples sufficiently numerous to render another book unnecessary; these examples being mostly selected from College Ex&shy;amination Papers, “It has already taken its place as the text-book on that subject.” —.

This is designed as a work at once elementary and compute, 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 results. The process of summation has been'' repeatedly brought forward, 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 difficulties which usually perplex beginners, especially with reference to the limits ''of integrations. A new method has been adopted'' ''in regard to the transformation of multiple integrals. The last chapter'' ''deals with the Calculus of Variations. A large collection of exercises,'' selected from College Examination Papers, has been appended to the several chapters.

In this work on statics (treating of the laws of the equilibrium of bodies) will be found all the proposition which usually appear in treatises on ''Theoretical Statics. To the different chapters examples are appended,'' which have been principally selected from University Examination Papers. In the Third Edition many additions have been made, in order to illus&shy;trate the application of the principles of the subject to the solution of problems.