An introduction to mathematics
Alfred North Whitehead
HANDBOUND AT THE UNIVERSITY OF TORONTO PRESS UNIVERSITY LIBRARYHOME KNOWLEDGEOF MODERN No. 15 Editors: A. L.THE RT. HON. H. FISHER, F.B.A.M.A., PROF. GILBERT MURRAY, LiTT.D., F.B.A.LL.D., PROF. SIR ARTHUR THOMSON,J. M.A. PROF. WILLIAM T. BREWSTER, M.A. A list the volumes THEcomplete classified of of HOME LIBRARYUNIVERSITY already published at the back book.will be thisfound of INTRODUCTION TO MATHEMATICS BY WHITEHEADA. N. F.R.S.Sc.D., OF "UNIVERSAL ALGEBRA**AUTHOR NEW YORK HENRY HOLT AND COMPANY LONDON THORNTON BUTTERWORTH COPYRIGHT, 1911, BT COMPANYHOLT ANDHENRY PiQ W 5 u t/. 5. A. U.S.A.THE UNIVERSITY CAMBRIDGE,PRESS, CONTENTS CHAP. PAGE I THE ABSTRACT NATURE OF MATHEMATICS . . 7 II VARIABLES 15 III METHODS OF APPLICATION 25 42IV DYNAMICS V THE OF MATHEMATICS 58SYMBOLISM VI OF NUMBER 71GENERALIZATIONS VII IMAGINARY NUMBERS 87 VII 101(CONTINUED) IX CO-ORDINATE GEOMETRY 112 X CONIC SECTIONS 128 145XI FUNCTIONS XII PERIODICITY IN NATURE 164 XIII TRIGONOMETRY 173 XIV SERIES : 194 XV THE DIFFERENTIAL CALCULUS 217 XVI GEOMETRY 236 XVII 245QUANTITY NOTE ON BOOKS 251 INDEX . . . 353 AN INTRODUCTION TO MATHEMATICS CHAPTER I THE ABSTRACT NATURE OF MATHEMATICS THE of mathematics is to comstudy apt mence in Thedisappointment. important of the the theoreticalscience,applications interest of its and the ofideas, logical rigour its all the ofmethods, generate expectation a introduction to of interest.