Synopses & Reviews
This classic text encompasses the most important aspects of plane and spherical trigonometry in a question-and-answer format. Its 913 specially selected questions appear with detailed answers that help readers refresh their trigonometry skills or clear up difficulties in particular areas. Questions and answers in the first part discuss plane trigonometry, proceeding to examinations of special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. The final section explores spherical trigonometry and the solution of spherical triangles, with applications to terrestrial and astronomical problems. Readers can test their progress with 1,738 problems, many of which feature solutions. 1946 edition. 494 figures.
Synopsis
Renowned for its lucid yet meticulous exposition, this undergraduate-level text follows the development of non-Euclidean geometry in strictly logical order, from fundamentals to advanced topics.
Synopsis
Covers the most important aspects of plane and spherical trigonometry. Discusses special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. Includes 1,738 problems, many with solutions. 1946 edition. Features 494 figures.
Table of Contents
Preface
Section I: Plane Trigonometry
Chapter I Angles and Their Measurement
Chapter II Relationships of Angular Measurements
Chapter III Cartesian Coordinates--Quadrants
Chapter IV Fundamental Trigonometric Functions
Chapter V Related Angles
Chapter VI Functions of Certain Angles
Chapter VII Graphical Representation of Functions--Periodicity
Chapter VIII Fundamental Identities--Important Relations of Analytical Trigonometry of Frequent Occurrence
Chapter IX Interpolation--Basic, Principal, and General Angles--INverse-function Notation
Chapter X Trigonometric Equations
Chapter XI Logarithms
Chapter XII Significant Figures--Accuracy in Computations
Chapter XIII Slide Rule
Chapter XIV Solution of Triangles
Section II: Applications of Plane Trigonometry
Chapter XV Small Angles
Chapter XVI Periodic Functions
Chapter XVII Vectors and Vector Quantities
Chapter XVIII Distance--Angular Measurement--Surveying
Chapter XIX Navigation
Chapter XX Miscellaneous Problems
Chapter XXI Polar Coordinates--Complex Numbers--DeMoivre's Theorem--Series
Section III: Spherical Trigonometry
Chapter XXII Introduction
Chapter XXIII Spherical Triangles
Chapter XXIV Applications of Spherical Trigonometry
Appendix
Customary definitions of the trigonometric functions of an actue angle
Formulas used in the text
Tables
Answers to Odd-numbered Problems
Index