Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners
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In our eReader you can find the full English version of the book. Read Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners Online - link to read the book on full screen. Our eReader also allows you to upload and read Pdf, Txt, ePub and fb2 books. In the Mini eReder on the page below you can quickly view all pages of the book - Read Book Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners
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To quickly assess the difficulty of the text, read a short excerpt:
7 f llie expression — ~r is the scale of the aeries, and the ex b' pression ^ is called the scale of the co-ejjicients.
It may be remarked, that a geometrical progression is a recui ring series of the first order.
201. Let it bt^ required to develop the expression a -\- hx a' + b'x -f- c'x^ int(> a series.
256 Assume ELEMENTS OF ALGEBKA. A + hx [CHAP. VIII.
P-\- Qx-\- Ex^ + Sx^ -h &c.
a! -^ h'x ^ c'x^ Clearing of fractions, and transposing, we get Pa' + Qa' x-\- Ra' x'' + Sa' -a + Pb' + Qh' + R...b' — b ^Pc' + Qc' or.
or.
P=z a Q = b' a' P + h P=: a' Q~ i-: s = b' a' R~ >■ &c.
&c "S Therefore, we have Pa' — a == 0, qa' ■\- Pb' - 6 = 0, Ra' + qy + Pc' = 0, or, Sa' + Rb'-{- q(/=0, or, &c. , &c. , trom which we see that, commencing at the third, each co-effi- cient is formed by multiplying the two which precede it, re- b' cf spectively, by 7 and -^ viz. , that which immediately b' precedes the required co-efficient by j, that which precedes (^ it two terms by j, and taking the algebraic sum of the pro ducts.
What to read after Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
7 f llie expression — ~r is the scale of the aeries, and the ex b' pression ^ is called the scale of the co-ejjicients.
It may be remarked, that a geometrical progression is a recui ring series of the first order.
201. Let it bt^ required to develop the expression a -\- hx a' + b'x -f- c'x^ int(> a series.
256 Assume ELEMENTS OF ALGEBKA. A + hx [CHAP. VIII.
P-\- Qx-\- Ex^ + Sx^ -h &c.
a! -^ h'x ^ c'x^ Clearing of fractions, and transposing, we get Pa' + Qa' x-\- Ra' x'' + Sa' -a + Pb' + Qh' + R...b' — b ^Pc' + Qc' or.
or.
P=z a Q = b' a' P + h P=: a' Q~ i-: s = b' a' R~ >■ &c.
&c "S Therefore, we have Pa' — a == 0, qa' ■\- Pb' - 6 = 0, Ra' + qy + Pc' = 0, or, Sa' + Rb'-{- q(/=0, or, &c. , &c. , trom which we see that, commencing at the third, each co-effi- cient is formed by multiplying the two which precede it, re- b' cf spectively, by 7 and -^ viz. , that which immediately b' precedes the required co-efficient by j, that which precedes (^ it two terms by j, and taking the algebraic sum of the pro ducts.
What to read after Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners?
You can find similar books in the "Read Also" column, or choose other free books by Charles Davies to read onlineMoreLess
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