Présentation de l'éditeur
Analytic Geometry is a broader subject than Conic Sections. It is far more important to the student that he should acquire a familiarity with the analytic method, and thoroughly grasp the generality of its processes and the comprehensiveness of its results, than that he should obtain a detailed knowledge of any particular set of curves. Furthermore, all branches of mathematics are fundamentally and inseparably related. A ny subject, therefore, should be presented in such a way as to keep it in touch with all that has preceded, and at the same time reach forward toward that which is immediately to follow, to the end that there may be no sudden transition in passing from one branch to another. Algebra and Geometry, Analytics and Calculus are mutually lelpful, and should not be studied entirely apart. No one of these subjects can be finished before the others are begun. The general plan and scope of this book is due to a firm conviction of the soundness of these statements. For this reason 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 not ordinarily treated in text books on Analytic Geometry. The method of the differential calculus is the only way of studying the slope of curves, and furnishes the best means of finding the equation of the tangent and the normal. The graphical method of illustration and the derivative are indispensable in the discussion of the Theory of Equations. The use of the derivative 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 to the study of Quadrature, and Maxima and Minima. It is believed that the elementary discussion of these subjects here given will tend to
(Typographical errors above are due to OCR software and don't occur in the book.)
Présentation de l'éditeur
Leopold is delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. This means that we have checked every single page in every title, making it highly unlikely that any material imperfections – such as poor picture quality, blurred or missing text - remain. When our staff observed such imperfections in the original work, these have either been repaired, or the title has been excluded from the Leopold Classic Library catalogue. As part of our on-going commitment to delivering value to the reader, within the book we have also provided you with a link to a website, where you may download a digital version of this work for free. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience. If you would like to learn more about the Leopold Classic Library collection please visit our website at www.leopoldclassiclibrary.com
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