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Category: Mathematics  Applications of Number Theory to Numerical Analysis free ebook download

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Author(s): L.-K. Hua Date: Nov 15, 2011 Format: pdf Language: English ISBN/ASIN: 3642678319   Pages: 254 OCR: Quality: ISBN13: 9783642678318   Uploader: tvladb77 Upload Date: 2/3/2023 1:16:45 AM       To download click on link in the Links Table below                                                                        Description: Click to see full description Owing to the developments and applications of computer science, ma­ thematicians began to take a serious interest in the applications of number theory to numerical analysis about twenty years ago. The progress achieved has been both important practically as well as satisfactory from the theoretical view point. It'or example, from the seventeenth century till now, a great deal of effort was made in developing methods for approximating single integrals and there were only a few works on multiple quadrature until the 1950's. But in the past twenty years, a number of new methods have been devised of which the number theoretic method is an effective one. The number theoretic method may be described as follows. We use num­ ber theory to construct a sequence of uniformly distributed sets in the s­ dimensional unit cube G , where s ~ 2. Then we use the sequence to s reduce a difficult analytic problem to an arithmetic problem which may be calculated by computer. For example, we may use the arithmetic mean of the values of integrand in a given uniformly distributed set of G to ap­ s proximate the definite integral over G such that the principal order of the s error term is shown to be of the best possible kind, if the integrand satis­ fies certain conditions. Links Table     Title Link Password Size (MB) Thank to Inform Admin 3170900 Book https://nitroflare.com/view/A0B6557AF8CC...   0.00 tvladb77 3170901 Book https://userupload.net/hcg3zjm6whm1...   0.00 tvladb77 Tags: Analysis Applications Number Numerical Theory Title Link Password Size Reason Dead link New format   Those who downloaded this book also downloaded the following books: Comments New comment:

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