HEC PURE MATHEMATICS, INCLUDING THE HIGHER PARTS OF ALGEBRA AND PLANE TRIGONOMETRY, TOGETHER WITH ELEMENTARY SPHERICAL TRIGONOMETRY. NUS BY EDWARD ATKINS, B.Sc. (LOND.), HEAD-MASTER OF ST. MARTIN'S SCIENCE SCHOOL, LEICESTER. LONDON AND GLASGOW : TO THE REVEREND DAVID JAMES VAUGHAN, M.A., HONORARY CANON OF PETERBOROUGH CATHEDRAL; AND FORMERLY FELLOW OF TRINITY COLLEGE, CAMBRIDGE, This Volume is Dedicated IN APPRECIATION OF HIS ZEAL IN THE CAUSE OF EDUCATION, AND IN GRATEFUL ACKNOWLEDGMENT OF HIS PERSONAL SYMPATHY DURING MANY YEARS. PREFACE. THIS Volume is intended to form, with the volume previously written, a complete treatise on Algebra and Plane Trigonometry, or at least to include as much of these subjects as is usually read. I have, therefore, not at all confined myself to the Government Pass Syllabus for Pure Mathematics, Stage III., but have treated the subjects with sufficient fulness to enable a student to take up the Honours Papers. The book, which is complete in itself, may be considered as an Advanced Text-Book in those subjects; and will, I presume to hope, be found useful to all who wish to pass beyond the mere rudiments of Mathematical Science. It is unnecessary for me to say anything here as to the place Mathematics should hold as a branch of education. I may, however, remark that the recent alterations in this respect, made in the Training College Curriculum of the Education Department, show that the Government are thoroughly alive to its importance. I have included in the volume the elementary portions of Spherical Trigonometry, for the use of those students who may prefer to take it up as an alternative subject in the Pass Examination of the Science and Art Department. E. A. LEICESTER, April, 1875. |