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(Ebook) Approximate Calculation of Integrals 1st Edition by V I Krylov, Arthur H Stroud ISBN 0486445798 9780486445793

  • SKU: EBN-1968346
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Instant download (eBook) Approximate Calculation of Integrals (Dover Books on Mathematics) after payment.
Authors:V. I. Krylov (Author) Arthur H. Stroud (Translator)
Pages:368 pages.
Year:2006
Language:english
File Size:5.39 MB
Format:pdf
ISBNS:9780486445793, 0486445798
Categories: Ebooks

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(Ebook) Approximate Calculation of Integrals 1st Edition by V I Krylov, Arthur H Stroud ISBN 0486445798 9780486445793

(Ebook) Approximate Calculation of Integrals 1st Edition by V I Krylov, Arthur H Stroud - Ebook PDF Instant Download/Delivery: 0486445798, 9780486445793
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Product details:

ISBN 10: 0486445798 
ISBN 13: 9780486445793
Author: V I Krylov, Arthur H Stroud

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., An 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. The 3-part treatment begins with concepts and theorems encountered in the theory of quadrature and then explores the problem of calculation of definite integrals and methods for the calculation of indefinite integral. 1962 edition.

(Ebook) Approximate Calculation of Integrals 1st Table of contents:

  1. Bernoulli Numbers and Bernoulli Polynomials

  2. Orthogonal Polynomials

  3. Interpolation of Functions

  4. Linear Normed Spaces. Linear Operators

  5. Quadrature Sums and Problems Related to Them. The Remainder in Approximate Quadrature

  6. Interpolatory Quadratures

  7. Quadratures of the Highest Algebraic Degree of Precision

  8. Quadrature Formulas with Least Estimate of the Remainder

  9. Quadrature Formulas Containing Preassigned Nodes

  10. Quadrature Formulas with Equal Coefficients

  11. Increasing the Precision of Quadrature Formulas

  12. Convergence of the Quadrature Process

  13. Introduction

  14. Integration of Functions Given in Tabular Form

  15. Calculation of Indefinite Integrals Using a Small Number of Values of the Integrand

  16. Methods Which Use Several Previous Values of the Integral

  17. Gaussian Quadrature Formulas for Constant Weight Function

  18. Gaussian-Hermite Quadrature Formulas

  19. Gaussian-Laguerre Quadrature Formulas

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Tags: V I Krylov, Arthur H Stroud, Approximate, Calculation

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