In this monograph, the authors develop a methodology that allows one to construct and substantiate optimal and suboptimal algorithms to solve problems in computational and applied mathematics. Throughout the book, the authors explore well-known and proposed algorithms with a view toward analyzing their quality and the range of their efficiency. The concept of the approach taken is based on several theories (of computations, of optimal algorithms, of interpolation, interlination, and interflatation of functions, to name several). Theoretical principles and practical aspects of testing the quality of algorithms and applied software, are a major component of the exposition. The computer technology in construction of T-efficient algorithms for computing ε-solutions to problems of computational and applied mathematics, is also explored. The readership for this monograph is aimed at scientists, postgraduate students, advanced students, and specialists dealing with issues of developing algorithmic and software support for the solution of problems of computational and applied mathematics.

Like earlier editions, this thoroughly updated sixth edition of the classic textbook provides readers with a basic understanding of the Library of Congress Classification system and its applications. The Library of Congress Classification system is used in academic, legal, medical, and research libraries throughout North America as well as worldwide; accordingly, catalogers and librarians in these settings all need to be able to use it. The established gold standard text for Library of Congress Classification (LCC), the sixth edition of Guide to the Library of Congress Classification updates and complements the classic textbook's coverage of cataloging in academic and research libraries. Clear and easy to understand, the text describes the reasoning behind assigning subject headings and subheadings, including use of tables; explains the principles, structure, and format of LCC; details notation, tables, assigning class numbers, and individual classes; and covers classification of special types of library materials. The last chapter of this perennially useful resource addresses the potential role of classification in libraries of the future.

Because traditional ring theory places restrictive hypotheses on all submodules of a module, its results apply only to small classes of already well understood examples. Often, modules with infinite Goldie dimension have finite-type dimension, making them amenable to use with type dimension, but not Goldie dimension. By working with natural classes

The Library of Congress is the largest in the world in terms of its shelf space and the number of books. Whereas the British library uses the Dewey classification system, the Library of Congress classifies subjects first by letter. This document explains the subclassifications within each letter.