PREFACE. THE present work is designed as a book of reference for the Mathematical student, and to supply a want much felt in the lecture-room by those who require a hand-book of established Principles and Formulæ to enable them to follow the explanations of the lecturer. It is not intended for the gratification of the superficial learner, or to assist those who are content to stake their chance of success in a competitive examination upon the precarious and obnoxious system of cramming; but it may be used with advantage by the student to test his own proficiency in writing out the proofs of the formula and fundamental propositions, and may often save the tutor himself much time and trouble in the preparation of a book-work examination. Many years' experience in Mathematical tuition, as well as in the lecture-room, have convinced the compiler of the utility of such a compendium. It has been his endeavour to render the present work sufficiently complete, and to keep in view a point too much lost sight of in Mathematical works— uniformity and simplicity of Notation; and, whilst every care has been taken to secure accuracy and perspicuity of arrangement, no merit is claimed for it beyond that which is due to the labour bestowed upon its preparation. KING'S COLLEGE, LONDON, April, 1862. |