Approximate Calculation of Integrals by Vladimir Ivanovich Krylov

Approximate Calculation of Integrals by Vladimir Ivanovich Krylov

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Approximate Calculation of Integrals by Vladimir Ivanovich Krylov

A systematic introduction to the principal ideas and results of the contemporary theory of approximate integration, this volume approaches its subject from the viewpoint of functional analysis. In addition, it offers a useful reference for practical computations. Its primary focus lies in the problem of approximate integration of functions of a single variable, rather than the more difficult problem of approximate integration of functions of more than one variable.
The three-part treatment begins with concepts and theorems encountered in the theory of quadrature. The second part is devoted to the problem of calculation of definite integrals. This section considers three basic topics: the theory of the construction of mechanical quadrature formulas for sufficiently smooth integrand functions, the problem of increasing the precision of quadratures, and the convergence of the quadrature process. The final part explores methods for the calculation of indefinite integrals, and the text concludes with helpful appendixes.
SKU Unavailable
ISBN 13 9780486445793
ISBN 10 0486445798
Title Approximate Calculation of Integrals
Author Vladimir Ivanovich Krylov
Series Dover Books On Mathematics
Condition Unavailable
Binding Type Paperback
Publisher Dover Publications Inc.
Year published 2006-01-13
Number of pages 368
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.