Infinitesimal Calculus (Longman's Modern Mathematical Series)

 
9781492735144: Infinitesimal Calculus (Longman's Modern Mathematical Series)
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A review from the Journal of the United States Artillery, Volume 57:

This book is intended not for any special group of students; rather it is “designed for those who desire to use the infinitesimal calculus in the attainment of further knowledge."

In Chapter I, number, function and graph are considered, those domains with which the student ordinarily is familiar. Then follow limit, continuity; differential coefficient; algebraic functions; function of a function; second differential coefficient; inverse differentiation; areas, volumes; and moments by integration. This gives an idea of what is included in the first part.

The complementary part, in which are embodied many of the less familiar functions, includes the following: exponential and hyperbolic functions; motion of a particle along an axis; definite integral; polar coordinates; partial differentiation, double integration; expansion in power series; envelopes, evolutes and roulettes; differential equations; and graphics and nomography. The usual notation with the possible exception of the arrow with a single barb, either upper or lower, which has been successfully tried out in class, and now appears in print for the first time, is used throughout the text.

This book is one of the Longmans' Modern Mathematical Series. The author gives no historical notes or references, for the reason that the sources of such information are readily accessible. Not the least important feature is the large variety of exercises.

The book is well printed and neat in appearance, and occupies a distinct place.

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