BY THE SAME AUTHOR. Lately published, 8vo., 542 pages, price 16s., TRILINEAR COORDINATES, ANALYTICAL GEOMETRY AND OTHER METHODS OF MODERN OF TWO DIMENSIONS. CAMBRIDGE: DEIGHTON, BELL AND CO. LONDON: BELL AND DALDY. CHOICE AND CHANCE TWO CHAPTERS OF ARITHMETIC. WITH AN APPENDIX CONTAINING THE ALGEBRAICAL TREATMENT OF PERMUTATIONS AND COMBINATIONS NEWLY SET FORTH. BY THE REV. WILLIAM ALLEN WHITWORTH, M. A., PROFESSOR OF MATHEMATICS IN QUEEN'S COLLEGE, LIVERPOOL; AND LATE OTHECA CAMBRIDGE: DEIGHTON, BELL AND CO. LONDON: BELL AND DALDY. 1867. [The right of translation and reproduction is reserved.] 182. f. 5. BODI PREFACE. THE following pages are a reproduction of lectures on Arithmetic, given in Queen's College, Liverpool, in the Michaelmas Term, 1866. Many of the students to whom the lectures were addressed were just entering upon the study of algebra, and it seemed well, while the greater part of their time was devoted to the somewhat mechanical solution of examples necessary to give them a practical facility in algebraical work, that their logical faculties should be meanwhile exercised in the thoughtful applications of the arithmetical art with which they were already familiar. I had already discovered, that the usual method of treating questions of selection and arrangement was capable of modification and so great simplification, that the subject might be placed on a purely arithmetical basis; and I deemed that nothing would better serve to furnish the exercise which I desired for my classes, and to elicit and encourage a habit of exact reasoning, than to set before them, and establish as an application of arithmetic, the principles upon which such questions of choice and chance" might be solved. 66 The success of my experiment has induced me to publish the present work, in the hope that the expositions already accepted by a limited audience may |
