The Elements of Analytic Geometry (Classic Reprint) - Tapa blanda

Candy, Albert L.

 
9781440066795: The Elements of Analytic Geometry (Classic Reprint)

Sinopsis

Excerpt from The Elements of Analytic Geometry

The two central conics are treated simultaneously by using the double sign in the standard equation. In this way much time is saved; and the similarities of the properties of the two conics are presented in a striking manner.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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Reseña del editor

Excerpt from The Elements of Analytic Geometry

The two central conics are treated simultaneously by using the double sign in the standard equation. In this way much time is saved; and the similarities of the properties of the two conics are presented in a striking manner.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

Reseña del editor

Conic Sections. It is far more important to the student that he should acquire a good knowledge of the analytic method, that he should comprehend the generality of its processes, and learn how to interpret its results, than that he should obtain a detailed knowledge of the properties of any particular set of curves. Furthermore, there is a certain interrelation, or interdependence, between the various branches of elementary mathematics. Experience in teaching these subjects has convinced me that, on the ground of expediency alone, this interdependence should be recognized in the class room. In the study of mathematics, as well as in its applications, Algebra and Geometry, Analytics and Calculus, are mutually helpful. Hence these branches should not be studied entirely apart. As all these branches, or at least more than one, must finally be used in the complete solution of many problems, there seems to be no good reason why the student should not be taught to do this as soon as possible. For these reasons a fuller treatment than usual is given of the general analytic method before taking up the study of the conic sections, and subjects have been introduced that are not ordinarily included in text-books on Analytic Geometry. The method of theD ifferential Calculus is the only way of studying the slope of curves, and furnishes the best means for finding the equation of the tangent and the normal. The graphical method of illustration and the derivative are indispensable in the study of the Theory of Equations. The use of theD eriva tive Curve in the theory of equal roots, together with the fact that the ordinate of the derivative curve is the slope of the Integral Curve, naturally suggests a possible converse relation, and leads easily and logically and with no difficult transition to the study of Quadrature and Maxima and Minima. It is believed that the element
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