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An introduction to mathematics

De
280 pages
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.
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HANDBOUND
AT THE
UNIVERSITY OF
TORONTO PRESSUNIVERSITY 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 ofINTRODUCTION
TO MATHEMATICS
BY
WHITEHEADA. N.
F.R.S.Sc.D.,
OF "UNIVERSAL ALGEBRA**AUTHOR
NEW YORK
HENRY HOLT AND COMPANY
LONDON
THORNTON BUTTERWORTHCOPYRIGHT, 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