Beecrofts General Method of Finding All the Roots Both Real And Imaginary of a
Beecrofts General Method of Finding All the Roots Both Real And Imaginary of a
Philip Beecroft
The book Beecrofts General Method of Finding All the Roots Both Real And Imaginary of a was written by author Philip Beecroft Here you can read free online of Beecrofts General Method of Finding All the Roots Both Real And Imaginary of a book, rate and share your impressions in comments. If you don't know what to write, just answer the question: Why is Beecrofts General Method of Finding All the Roots Both Real And Imaginary of a a good or bad book?
What reading level is Beecrofts General Method of Finding All the Roots Both Real And Imaginary of a book?
To quickly assess the difficulty of the text, read a short excerpt:
Take y negative then (33) becomes, ♦ /+3/+5/-/-3/-2/ + l = (36) This equation contains two roots less than their reciprocals, and decreasing these roots, according to the first method of transformation, 2/i + l by substituting y= — - —, we get the equation yl + Uyl + 652/j + 152^/^ + 123?/^ - 36y^+ 3 = 0, and denoting this equation by/(?/j) = 0, we get 21 ^ =l + 122/j + lOSy] + 693i2/i + ^^^^32/^ + 7698|2/^' -87185|2/i -&c. Multiplying these coefficients by 3, we may take a =309, « =2080, « =10...402, ^ =28096, and substituting these values in the general equation (15) forwi = 5, we get 601619242/j -14499496y^ + 1112182 = 0. Similarly by proceeding another step we get 9762412988^^ - 23528473762/^ + 180485772 = 0, . Or, ijI -•2410108?/^+-0184878 = 0..... (37) The preceding equation gives, when divided by its first coefficient, yl -•24100782/j + -0184864 = 0, which will give the same roots as (37) to five places of figures, and I believe (37) to be exact to the last figure; it can-however be easily tested by extending the above division another term.
User Reviews: