03842nam a22002657a 4500003000400000005001700004008004100021040005900062100003100121245010800152260006700260300005900327336002100386337002500407338002300432504002000455505107500475520184601550521001003396541007403406546002003480650002403500650002803524650002403552OSt20260603183845.0260603s19541954-usad||er|||| 001 0 eng d  aUniversity of Cebu-BaniladcUniversity of Cebu-Banilad  aAyres, Frank Jr.,eauthor.  aSchaum's outline of theory and problems of plane and spherical trigonometry /cFrank Ayres, Jr., Ph. D.  aUnited States of America :bSchaum Publishing Company,cc1954.  a207 pages :billustrations (black and white) ;c27 cm.  2rdacontentatext  2rdamediaaunmediated  2rdacarrieravolume  aIncludes index.  aContents: Chapter 1. Angles and arc length — 2. Trigonometric functions of a general angle — 3. Trigonometric functions of an acute angle — 4. Tables of trigonometric functions — solution of right triangles — 5. Practical applications — 6. Logarithms — 7. Logarithmic solution of right triangles — 8. Reduction to functions of positive acute angles — 9. Variations and graphs of the trigonometric functions — 10. Fundamental relations and identities — 11. Trigonometric functions of two angles 12. Sum, difference, and product formulas — 13. Oblique triangles, non-logarithmic solution — 14. Logarithmic solution of oblique triangles — 15. Areas, radii of inscribed and circumscribed circles — 16. Inverse trigonometric functions — 17. Trigonometric equations — 18.Complex numbers — 19. Topics from solid geometry — 20. Right spherical triangles — 21. Oblique spherical triangles — standard solutions — 22. Oblique spherical triangles — alternate solutions — 23. Course and distance — 24. The celestial sphere — Index.  a"This book is designed as an aid to those who are studying Trigonometry for the first time by providing a collection of completely solved, representative problems. At the same time, the arrangement of the material makes it a convenient manual for those who wish to review the fundamental principles and applications.

The book, while complete in itself, is not written in formal textbook style. Each chapter contains a summary of the necessary definitions and theorems, followed by a set of graded solved problems. The proofs of theorems and the derivations of all formulas are included among the solved problems. These, in turn, are followed by a set of supplementary problems with answers.

The numerical aspects of Plane Trigonometry have been treated thoroughly. Equal attention has been given to non-logarithmic and logarithmic solutions of both right and oblique triangles. The applications are numerous and in wide variety. The figures have been carefully drawn and labeled for greater usefulness, and answers have been rounded off consistent with the given data.

Simple trigonometric identities and equations require a knowledge of elementary algebra. The problems here have been carefully selected, the solutions have been spelled out in great detail, and all arranged to illustrate clearly the algebraic process involved as well as the use of the basic trigonometric relations.

The chapters dealing with Spherical Trigonometry are preceded by a chapter on Solid Geometry. The theory and formulas for the solution of right and oblique spherical triangles are covered rather completely and include the use of haversine and right triangle methods in solving oblique triangles. Applications consist of problems involving distance and direction on the earth's surface and certain problems relative to the celestial sphere." —Preface  aAdult  xLansa, RogelioyCollege of Computer EngineeringzComputer Engineering  aText in English  aProblem, exercises.  aSpherical trigonometry.  aPlane trigonometry.