Analytic Geometry - Hardcover

Dowling, L Wayland; Turneaure, F E

Hardcover

ISBN 10: 054819078X ISBN 13: 9780548190784

Verlag: Kessinger Publishing, 2007

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Analytic Geometry by L. Wayland Dowling is a comprehensive textbook that covers the essential concepts of analytic geometry. The book is designed for students who have a basic understanding of algebra and geometry and are interested in learning how to apply these concepts to solve problems in analytic geometry. The book begins with an introduction to the Cartesian coordinate system and the basics of functions, including linear, quadratic, and polynomial functions. It then moves on to cover conic sections, including circles, ellipses, hyperbolas, and parabolas. The book also covers the properties of lines and planes in three-dimensional space, including vector equations, dot products, and cross products. It discusses the equations of planes and lines, as well as their intersections and angles of intersection. Other topics covered in the book include polar coordinates, parametric equations, and the calculus of curves. The book includes numerous examples and exercises to help students apply the concepts they have learned. Overall, Analytic Geometry by L. Wayland Dowling is an essential resource for students who want to develop a strong foundation in analytic geometry and prepare for advanced courses in mathematics and science.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. 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 their original work.

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Rese�a 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.

Rese�a del editor

In accordance with the general plan of this series of textbooks, the a,uthors of the present volume have had constantly In mind the needs of the student who takes his mathematics primarily with a view to its applications as well as the needs of the student who pursues mathematics as an element of his education. The processes of analytical geometry find their application, for the most part, in the scientific laboratory where it is often necessary to study the properties of a function from certain observed values. The fundamental concept is, therefore, that of functional correspondenoe and the methods of representing such correspondence geometrically. For this reason rather more than usual attention has been given to these subjects (C hapter III; also Chapter IX, A rts. 135 to 140). An intelligent appreciation of functional correspondence requires an intimate knowledge of the relation between an equation and the graphical representation of the functional correspondence determined by the equation. Such a knowledge is most easily obtained by a study of linear equations and equations of the second degree together with their corresponding loci. This knowledge is not only of importance to the student of applied mathematics, but it has a special disciplinary value for the general student. The standard forms of the equations of a number of important loci are developed early (C hapter IV), and the properties of these loci are discussed in detail later (C hapters VI and VII) by means of the equations already at hand. By this arrangement, it is hoped that some unnecessary repetition has been avoided. The equations of tangents to the conic sections have been derived by means of the discriminant of the quadratic equation whose roots are the 3;-coordinates of the points of intersection with a variable secant, rather than by means of the derivative.
(Typographical errors above are due to OCR software and don't occur in the book.)

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