Verwandte Artikel zu The Elements Of Plane And Solid Analytic Geometry (1904)
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Inhaltsangabe
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world’s literature in affordable, high quality, modern editions that are true to the original work.
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Reseña del editor
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions that are true to the original work.
Reseña del editor
A nalttig Gbomstbt ifi essentially a metfM dof investigating the nature and properties of loci. Hence a text-book on Analytics should aim to give the student a good working knowledge of the essential elements of this new method rather than a mere familiarity with the properties of the conic sections. Some other curves are as important as the conic sections. 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 Greometry. 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 illustrat i and the derivative are indispensable in the study of the Theory of Equations. The use of theD erivative Curve in the theory of equal roots, together with the fact that the ordinate of the derivative curve is the slope of the Integral Curoe naturally suggests a possible converse relation, and leads easily and logically and with no difficult transition to the study of Quadrature and Maxima and
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