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Approximate Calculation of Integrals by Krylov, V. I.
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Numero oggetto eBay:315524854813
Specifiche dell'oggetto
- Condizione
- Binding
- Paperback
- Weight
- 0 lbs
- Product Group
- Book
- IsTextBook
- No
- ISBN
- 9780486445793
Informazioni su questo prodotto
Product Identifiers
Publisher
Dover Publications, Incorporated
ISBN-10
0486445798
ISBN-13
9780486445793
eBay Product ID (ePID)
46872931
Product Key Features
Number of Pages
368 Pages
Language
English
Publication Name
Approximate Calculation of Integrals
Subject
Functional Analysis, Calculus
Publication Year
2006
Type
Textbook
Subject Area
Mathematics
Series
Dover Books on Mathematics Ser.
Format
Perfect
Dimensions
Item Height
0.7 in
Item Weight
13.6 Oz
Item Length
8.5 in
Item Width
5.2 in
Additional Product Features
Intended Audience
College Audience
LCCN
2005-051789
Illustrated
Yes
Table Of Content
PrefaceTranslator's PrefacePart I. Preliminary InformationChapter 1. Bernoulli Numbers and Bernoulli Polynomials2. Orthogonal Polynomials3. Interpolation of Functions4. Linear Normed Spaces. Linear OperatorsPart II. Approximate Calculation of Definite Integrals5. Quadrature Sums and Problems Related to Them. The Remainder in Approximate Quadrature6. Interpolatory Quadratures7. Quadratures of the Highest Algebraic Degree of Precision8. Quadrature Formulas with Least Estimate of the Remainder9. Quadrature Formulas Containing Preassigned Nodes10. Quadrature Formulas with Equal Coefficients11. Increasing the Precision of Quadrature Formulas12. Convergence of the Quadrature ProcessPart III. Approximate Calculation of Indefinite Integrals13. Introduction14. Integration of Functions Given in Tabular Form15. Calculation of Indefinte Integrals Using a Small Number of Values of the Integrand16. Methods Which Use Several Previous Values of the IntegralAppendix A. Gaussian Quadrature Formulas for Constant Weight FunctionAppendix B. Gaussian-Hermite Quadrature FormulasAppendix C. Gaussian-Laguerre Quadrature FormulasIndex
Synopsis
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.
LC Classification Number
QA311.K713 2005
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