Analytic Geometry - Softcover

Dowling, L Wayland; Turneaure, F E

Softcover

ISBN 10: 1163096881 ISBN 13: 9781163096888

Verlag: Kessinger Publishing, 2010

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 included in our special Legacy Reprint Series. In the interest of creating a more extensive selection of rare historical book reprints, we have chosen to reproduce this title even though it may possibly have occasional imperfections such as missing and blurred pages, missing text, poor pictures, markings, dark backgrounds and other reproduction issues beyond our control. Because this work is culturally important, we have made it available as a part of our commitment to protecting, preserving and promoting the world's literature.

Reseña 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.)

About the Publi

Details zur Ausgabe

• Verlag: Kessinger Publishing
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 1163096881
• ISBN 13: 9781163096888
• Einband: Tapa blanda
• Anzahl der Seiten: 280
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar