Key to Davies' Bourdon : with many additional examples, illustrating the algebraic analysis : also, a solution of all the difficult examples in Davies' Legendre

Charles Davies, M. (Louis Pierre Marie) Bourdon

Sujets

• Álgebra

Informations

• Publié par: les_archives_du_savoir
• Nombre de lectures: 7
• Langue: English
• Poids de l'ouvrage: 11 Mo

Extrait

LIBRARY
OF THE
University of California.
Mrs. P.SARAH WALSWORTH.
Received October, 1894.
^Accessions No . . Class No.S^/Z/C?
/Digitized by the Internet Archive
in with funding from2008
Microsoft Corporation
http://www.archive.org/details/additionalbourdOOdavirichKEY
DAVIES' BOURDON,
MANY ADDITIONAL EXAMPLES, ILLUSTRATING THE
ALGEBRAIC ANALYSIS:
ALSO,
A SOLUTION OF ALL THE DIFFICULT EXAMPLES
IN DAVIES' LEGENDRE.
UWVBRSIT
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4km%NEW YORK
A. S. BARNES & Co., Ill & 113 STREET,WILLIAM
(CORNER OF JOHN STREET.)
BOLD BY BOOKSELLERS, GENERALLY, THROUGHOUT THE UNITED STATES.
1866.,
33ID
(f^s\V^
Entered according to act of Congress, in the year eighteen hundred and fifty-six^
BY CHARLES DAVIES,
In the Clerk's Office of the Court of the United States, for the SouthernDistrict
District of New York.
DEJONES & NYSE
8TEREOTYPERS AND ELECTROTYPERS,
183 William-Street.THK0f
ViiviasxTY;
PREFACE.
difference of opinion is known to exist among teachersA wide
to mathematical work, andin regard to the value of a Key any
perhaps yet undecided whether a Key is a help or ait is
hindrance.
If a Key is designed to supersede the necessity of investiga-
labor on the part of the teacher; to present to histion and
mind every combination of thought which ought to be suggested
permit float sluggishlyby a problem, and to him to along the
current of ideas developed by the author, it would certainly do
great harm, and should be excluded from every school.
If, on the contrary, a Key is so constructed as to suggest
ideas, both in regard to particular questions and general science,
which the Text-book might not impart; if it develops methods
particularof solution too or too elaborate to find a place in the
text if it is mainly designed to lessen; the mechanical labor of
teaching, rather than the labor of study and investigation ; it
may, in the hands of gooda teacher, prove a valuable auxiliary.
The Key to Bourdon is intended answer, precisely,to thisIV PREFACE.
end. The principles developed in the text are explained and
illustrated by means of numerous examples, and these are all
Key bywrought in the methods which accord with and make
evident the principles themselves. The Key, therefore, not only
explains the various questions, but is a commentary on the text
itself.
Nothing is more gratifying to an ambitious teacher than to
the investigationspush forward of his pupils beyond the limits
of the text book. To aid him in an undertaking so useful to
himself and to them, an Appendix has been added, containing a
copious collection of Practical Examples. Many of the solutions
are quite curious and instructive ; and taken in connection with
those embraced in the Text, form a full and complete system of
Analysis.Algebraic
The Problems comprising the "Application of Algebra to
are,Geometry," at the end of Legendre, many of them, quite
solution.difficult of
which I have received fromThe many letters Teachers and
Pupils, in regard to the best solutions of these questions, have
suggested the desirableness of furnishing, in the present work
been most approved. They are a collection ofthose which have
problems that have been often solved, and the solutions may be
studied with great profit by every one seeking mathematical
knowledge.
Fishkill Landing, )
July, 1856. \J