A Course in Interpolation And Numerical Integration for the Mathematical Laborat
A Course in Interpolation And Numerical Integration for the Mathematical Laborat
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In our eReader you can find the full English version of the book. Read A Course in Interpolation And Numerical Integration for the Mathematical Laborat 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 A Course in Interpolation And Numerical Integration for the Mathematical Laborat
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3. 5, .. ^ 1 23] NUMERICAL INTEGRATION 65 IT r Jo , . „ ^, ^ 1. 3. 5... {2n-\) - But I siir" ed6= 2.^. % ... -211 ~2 Hence fA')^^i.^<*)=*=. F^y^'W^T^"-.. } If k is small this series is very suitable for obtaining the value of F ; but it is evident that if k approaches unity a large number of terms mu. St be included to get a fair approxima- tion to tlie value of F. Let yl-=;0-I. Then to obtain F correct to 4 decimal places it is only neces- sary to include two terms of the series. For / ^\ ^ \ 0-25 014062-) ) =- ^ { 1 + 0025 + 0-0000 140625 + . . . } = :j {1-0025} = 1-5747. Example 5. — Find the value of /' (^Ic, l) when ^• = sin 10° IT Example 5. — Show that I J \ - k''^ sin- x is equal to 1-54415 when Jc has the value sin 15°. 2 fO-6 Example 4. — Show that the value of the integral — 7=^ I e-'^dx is V TT Jo 0-60386. 24. A Formula of Integration Based on Newton's Formula We shall now show how integration may be performed by the aid of interpolation-formulae. Integrating Newton's interpolation formula 66 INTERPOLATION AND NUMERICAL INTEGRATION [ch.
What to read after A Course in Interpolation And Numerical Integration for the Mathematical Laborat?
You can find similar books in the "Read Also" column, or choose other free books by David Gibb to read online
To quickly assess the difficulty of the text, read a short excerpt:
3. 5, .. ^ 1 23] NUMERICAL INTEGRATION 65 IT r Jo , . „ ^, ^ 1. 3. 5... {2n-\) - But I siir" ed6= 2.^. % ... -211 ~2 Hence fA')^^i.^<*)=*=. F^y^'W^T^"-.. } If k is small this series is very suitable for obtaining the value of F ; but it is evident that if k approaches unity a large number of terms mu. St be included to get a fair approxima- tion to tlie value of F. Let yl-=;0-I. Then to obtain F correct to 4 decimal places it is only neces- sary to include two terms of the series. For / ^\ ^ \ 0-25 014062-) ) =- ^ { 1 + 0025 + 0-0000 140625 + . . . } = :j {1-0025} = 1-5747. Example 5. — Find the value of /' (^Ic, l) when ^• = sin 10° IT Example 5. — Show that I J \ - k''^ sin- x is equal to 1-54415 when Jc has the value sin 15°. 2 fO-6 Example 4. — Show that the value of the integral — 7=^ I e-'^dx is V TT Jo 0-60386. 24. A Formula of Integration Based on Newton's Formula We shall now show how integration may be performed by the aid of interpolation-formulae. Integrating Newton's interpolation formula 66 INTERPOLATION AND NUMERICAL INTEGRATION [ch.
What to read after A Course in Interpolation And Numerical Integration for the Mathematical Laborat?
You can find similar books in the "Read Also" column, or choose other free books by David Gibb to read online
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