FOR BEGINNERS WITH NUMEROUS EXAMPLES. BY I. TODHUNTER, M.A., F.R.S. HONORARY FELLOW OF ST JOHN'S COLLEGE, CAMBRIDGE. NEW EDITION. London: MACMILLAN AND CO. 1882 [The Right of Translation is reserved.] PREFACE. THE present work is intended to be placed in the hands of beginners, and to serve as an introduction to the larger treatise on Plane Trigonometry, published by the author. The same plan has been adopted as in the Algebra for Beginners: the subject is discussed in short chapters, and a collection of examples is attached to each chapter, Many of these examples are original and have been constructed with reference to the most important points and to the usual difficulties of beginners; the rest have been derived from College and University Examination Papers. Especial attention has been paid to the numerical calculations which occur in Trigonometry, in order that the work may be suitable for those who wish to confine themselves to the practical solution of triangles, as well as for those who intend to advance in the study of mathematics. The subject is arranged in the order which appears most convenient for beginners; an acquaintance with the books of Euclid which are usually read, and with the rudiments of Algebra, being all that is assumed. The first fourteen Chapters present the geometrical part of Plane Trigonometry; they contain all that is necessary for practical purposes. The remaining Chapters are of a more analytical character, and are important in the Theory of Mathematics. It will be found that the order of study may be varied at the discretion of the teacher, and the theoretical part taken at an earlier period. The range of matter included is such as seems required by the various examinations in Elementary Trigonometry which are now carried on in the country; it is hoped that nothing has been omitted which usually finds a place in such examinations. The Miscellaneous Examples at the end are arranged in sets, each set containing ten examples: the first hundred relate to the first eight Chapters of the book; the second hundred extend to the end of tho sixteenth Chapter; and the last hundred relate to the whole book. Any remarks with respect to the book, and especially the indication of difficulties or omissions in the text or the examples, will be most thankfully received. I. TODHUNTER. CAMBRIDGE, August, 1871. |