By V.I. Lebedev

The booklet comprises the tools and bases of useful research which are without delay adjoining to the issues of numerical arithmetic and its purposes; they're what one wishes for the comprehend­ ing from a normal standpoint of rules and strategies of computational arithmetic and of optimization difficulties for numerical algorithms. sensible research in arithmetic is now simply the small obvious a part of the iceberg. Its reduction and summit have been shaped lower than the impression of this author's own event and tastes. This version in English includes a few additions and alterations compared to the second one variation in Russian; came upon mistakes and misprints have been corrected back right here; to the author's misery, they bounce incomprehensibly from one variation to a different as fleas. The record of literature is much from being whole; only a variety of textbooks and monographs released in Russian were integrated. the writer is thankful to S. Gerasimova for her aid and persistence within the advanced means of typing the mathematical manuscript whereas the writer corrected, rearranged, supplemented, simplified, common­ ized, and better because it looked as if it would him the book's contents. the writer thank you G. Kontarev for the tough activity of translation and V. Klyachin for the superb figures.

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