Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners
The book Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners was written by author Charles Davies Here you can read free online of Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Elements of Algebra On the Basis of M Bourdon Embracing Sturms And Horners a good or bad book?
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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.
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