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The elements of algebra

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172 pages
^ -^^^ y^i^mti^itmimimm^r^.^ >"" ^-^---r""' ^£3>^y J*', ^mwmm^^H mmmmmmmms^mmmm^^. Ffi or .tvA UP v.i.^v,-^'^../* IN MEMORIAM FLORIAN CAJORl Digitized the Internet Archiveby in with funding from2008 IVIicrosoft Corporation http://www.archive.org/details/elementsofalgebrOOshourich L-^-^ O, t r THE Elements of Algebra. BY F. A. SHOUP, M FROFESSOR OF MATHEMATICS IN THK UNIVERSITY OF THE SOUTH; LATE PROFESSOR OF LOGIC, METAPHYSICS, ETC., IN THE UNIVEBSITY OF MISSISSIPPI. SECOND EDITION, REVISED AND CORRECTED, WITH APPENDIX, NEW YORK: E. J. HALE & SON, PUBLISHEKS, Murray Street. 1880. year byEntered according to Act of Congress, In the 1874, E. J. HALE & SON, Washington, D.In the Office ofthe Librarian of Congress, at 0. PREFACE. This with the hope of preparing something forbook was begun beginners in Algebra which wouldgive them, in anarrow compass, a thorough start in their analyticalphilosophical and, therefore, a studies. By adopting a somewhat new arrangement of the subject, matter the author had in mind could pre-it was found that the be sented in such a small space, that he determined to extend the scope of the work far enough to give all that is really necessary to enable with profit the higher mathematics.
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>"" ^-^---r""'
^£3>^y J*',
^mwmm^^H mmmmmmmms^mmmm^^.
Ffi
or
.tvA
UP
v.i.^v,-^'^../*IN MEMORIAM
FLORIAN CAJORlDigitized the Internet Archiveby
in with funding from2008
IVIicrosoft Corporation
http://www.archive.org/details/elementsofalgebrOOshourichL-^-^ O,
t r
THE
Elements of Algebra.
BY
F. A. SHOUP,
M
FROFESSOR OF MATHEMATICS IN THK UNIVERSITY OF THE SOUTH; LATE PROFESSOR OF LOGIC,
METAPHYSICS, ETC., IN THE UNIVEBSITY OF MISSISSIPPI.
SECOND EDITION, REVISED AND CORRECTED, WITH APPENDIX,
NEW YORK:
E. J. HALE & SON, PUBLISHEKS,
Murray Street.
1880.year byEntered according to Act of Congress, In the 1874,
E. J. HALE & SON,
Washington, D.In the Office ofthe Librarian of Congress, at 0.PREFACE.
This with the hope of preparing something forbook was begun
beginners in Algebra which wouldgive them, in anarrow compass, a
thorough start in their analyticalphilosophical and, therefore, a
studies. By adopting a somewhat new arrangement of the subject,
matter the author had in mind could pre-it was found that the be
sented in such a small space, that he determined to extend the scope
of the work far enough to give all that is really necessary to enable
with profit the higher mathematics. Thisthe student to prosecute
he did the more readily, since he is of the opinion that the further
Algebra presents rather more difficulties than any othercourse in
branch of mathematics, and that, consequently, the student at the
little real benefit frombeginning of his analytical course can derive
his efforts to master it. In truth, so far as his information goes, it
appreciated theis generally either omitted altogether, or so little by
young student, as be almost lost labor. It is, withal, so impor-to
tant, that it ought to be insisted upon, and so should be taken up at
later stage the in connectiona of student's course, and then presented
with thegeneral philosophy ofanalytical investigations. Accordingly,
if this little encouragedwork meets with approval, the author will be
to attempt the preparation of supplementary work to meet thisa
end.
It is not necessary to say much with regard to essay. It willthis
be found Thein great part novel in its treatment of the subject.
discussions are considerably extended, and at all points the rationale4 PREFACE.
of operations fully brought out. An effort has been made to pre-
the continuity subject, as to present a harmoniousserve of the so
measure, prove thewhole. The author hopes that it may, in some
means of stimulating the reason powers of such lads as maymg
will notchance to use it, and that the mere mechanism of operations
content them.
University of the South,
Sewauee, Tenn., March^ 1874.