Approximate calculation of integrals / Vladimir Ivanovich Krylov ; translated by Arthur H. Stroud.

New York : Macmillan, 1962.

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Standard Title Priblizhennoe vychislenie integralov. English
Subjects Approximation theory.
Approximation, Théorie de l'.
Calcul approché
Intégrales -- Calculs numériques.
Intégration de fonctions.
Numerische Integration.
approximation intégrale.
intégrale définie.
intégrale indéfinie.
Series ACM monograph series.
Description x, 357 pages ; 24 cm.
Copyright Date 1962.
Notes Includes bibliographical references and index.
Also issued online.
Contents pt. I. Preliminary information -- 1. Bernoulli numbers and Bernoulli polynomials -- 2. Orthogonal polynomials -- 3. Interpolation of functions -- 4. Linear normed spaces. Linear operators -- part II. Approximate calculation of definite integrals -- 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 -- part III. Approximate calculation of indefinite integrals -- 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 -- Appendix A. Gaussian quadrature formulas for constant weight function -- Appendix B. Gaussian-Hermite quadrature formulas -- Appendix C. Gaussian-Laguerre quadrature formulas.
Network Numbers (OCoLC)809276
WorldCat Search OCLC WorldCat
WorldCat Identities Krylov, V. I. 1902-
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