Analytic Geometry: With Introductory Chapter on the Calculus (Classic Reprint)

Excerpt from Analytic Geometry: With Introductory Chapter on the CalculusThe object of this book is to present analytic geometry to the student in as natural and simple a manner as possible without losing mathematical rigor. The average student thinks visually instead of abstractly, and it is for the average student that this work has been written. It was prepared primarily to meet the requirements in mathematics for the second half of the first year at the Armour Institute of Technology. To make it adaptable to courses in other institutions of learning certain topics not usually taught in an engineering school have been added.While it is useless to claim any great originality in treatment or in the selection of subject matter, the methods and illustrations have been thoroughly tested in the class room. It is believed that the topics are so presented as to bring the ideas within the grasp of students found in classes where mathematics is a required subject. No attempt has been made to be novel only; but the best ideas and treatment have been used, no matter how often they have appeared in other works on the subject.The following points are to be especially noted:(1) The great central idea is the passing from the geometric to the analytic and vice versa. This idea is held consistently throughout the book.(2) In the beginning a broad foundation is laid in the I algebraic treatment of geometric ideas. Here the student should acquire the analytic method if he is to make a success of the course.(3) Transformation of coordinates is given early and used frequently throughout the book, not confined to a single I chapter as is so frequently the case. The same may be said I of polar coordinates.About the PublisherForgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com