Plane and Spherical Trigonometry - Couverture souple

Lyman, Elmer A; Goddard, Edwin C

Couverture souple

ISBN 10 : 1432535552 ISBN 13 : 9781432535551

Editeur : Kessinger Publishing, 2007

Synopsis

""Plane and Spherical Trigonometry"" by Elmer A. Lyman is a comprehensive textbook that covers the fundamental principles of trigonometry. The book is divided into two parts, the first of which covers plane trigonometry and the second of which covers spherical trigonometry. The first part of the book covers topics such as angles, triangles, functions, identities, and equations. It also delves into the applications of trigonometry in areas such as navigation, surveying, and engineering. The second part of the book covers spherical trigonometry, which deals with the study of triangles on the surface of a sphere. This section covers topics such as spherical triangles, spherical trigonometric functions, and the solution of spherical triangles.The book is written in a clear and concise manner, with numerous examples and exercises to aid in understanding. It is suitable for students of mathematics, physics, engineering, and other related fields. The book is also a useful reference for professionals who need to apply trigonometric principles in their work. Overall, ""Plane and Spherical Trigonometry"" is a valuable resource for anyone seeking to deepen their understanding of trigonometry.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.

A propos du livre

Présentation de l'éditeur

Many American text-books on trigonometry treat the solution of triangles quite fully jE nglish text-books elaborate analytical trigonometry; but no book available seems to meet both needs adequately. To do that is the first aim of the present work, in the preparation of which nearly everything has been worked out and tested by the authors in their classes. The work entered upon, other features demanded attention. For some unaccountable reason nearly all books, in proving the formulae for functions of a p, treat the same line as both positive and negative, thus vitiating the proof; and proofs given for acute angles are (without further discussion) supposed to apply to all angles, or it is suggested that the student can draw other figures and show that the formulae hold in all cases. As a matter of fact the average student cannot show anything of the kind; and if he could, the proof would still apply only to combinations of conditions the same as those in the figures actually drawn. These difficulties are avoided by so wording the proofs that the language applies to figures involving any angles, and to avoid drawing the indefinite number of figures necessary fully to establish the formulae geometrically, the general case is proved algebraically (see page 58). Inverse functions are introduced early, and used constantly. Wherever computations are introduced they are made by means of logarithms. The average student, using logarithms for a short time and only at the end of the subject, straightway forgets what manner of things they are. It is hoped, by dint of much ju-ctice, extended over as long a time as possible, to give the student a command of logarithms that will stay. The fundamental formulae of trigonometry must be memorized. There is no substitute for this. For this purpose oral work is introduced, and there are frequent lists of review problems involving
(Typographical errors above are due to OCR software and don't occur in the book.)

Détails de l'édition

• Éditeur: Kessinger Publishing
• Date d'édition: 2007
• Langue: anglais
• ISBN 10: 1432535552
• ISBN 13: 9781432535551
• Reliure: Broché
• Nombre de pages: 216
• Coordonnées du fabricant: non disponible
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