BY AUGUSTUS DE MORGAN,
OF TRINITY COLLEGE, CAMBRIDGE;
FELLOW OF THE ROYAL ASTRONOMICAL SOCIETY,
AND OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY;
PROFESSOR OF MATHEMATICS IN UNIVERSITY COLLEGE, LONDON.
“Hominis studiosi est intelligere, quas utilitatesproprie afferat arithmetica his, qui solidam etperfectam doctrinam in cæteris philosophiæ partibusexplicant. Quod enim vulgo dicunt, principium essedimidium totius, id vel maxime in philosophiæ partibusconspicitur.”—Melancthon.
“Ce n’est point par la routine qu’on e’instruit, c’est parsa propre réflexion; et il est essentiel de contracterl’habitude de se rendre raison de ce qu’on fait: cettehabitude s’acquiert plus facilement qu’on ne pense; et unefois acquise, elle ne se perd plus.”—Condillac.
SEVENTEENTH THOUSAND.
LONDON:
WALTON AND MABERLY,
UPPER GOWER STREET, AND IVY LANE, PATERNOSTER ROW.
M.DCCC.LVIII.
LONDON:
PRINTED BY J. WERTHEIMER AND CO.,
CIRCUS-PLACE, FINSBURY-CIRCUS.
[Pg v]
The preceding editions of this work were published in 1830, 1832,1835, and 1840. This fifth edition differs from the three preceding,as to the body of the work, in nothing which need prevent the four,or any two of them, from being used together in a class. But it isconsiderably augmented by the addition of eleven newAppendixes,[1]relating to matters on which it is most desirable that the advancedstudent should possess information. The first Appendix,on Computation, and the sixth, on Decimal Money,should be read and practised by every student with as much attentionas any part of the work. The mastery of the rules for instantaneousconversion of the usual fractions of a pound sterling into decimalfractions, gives the possessor the greater part of the advantage whichhe would derive from the introduction of a decimal coinage.
At the time when this work was first published, the importanceof establishing arithmetic in the young mind upon reason anddemonstration, was not admitted by many. The case is now altered:[Pg vi]schools exist in which rational arithmetic is taught, and mere rulesare made to do no more than their proper duty. There is no necessityto advocate a change which is actually in progress, as the works whichare published every day sufficiently shew. And my principal reason foralluding to the subject here, is merely to warn those who want nothingbut routine, that this is not the book for their purpose.
London, May 1, 1846.
[Pg vii]
| BOOK I. | ||
| SECTION | PAGE | |
... BU KİTABI OKUMAK İÇİN ÜYE OLUN VEYA GİRİŞ YAPIN!Sitemize Üyelik ÜCRETSİZDİR! | ||