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An introduction to numerical analysis / Endre Süli and David F. Mayers.

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Author/Creator:
Süli, Endre, 1956-
Language:
English.
Reprint/reissue date:
2007
Original date:
2006
Imprint:
Reprinted with corrections. - Cambridge ; New York : Cambridge University Press, 2007.
Format:
  • Book
  • x, 433 p. : ill. ; 23 cm.
Note:
First published 2003.
Bibliography:
Includes bibliographical references and index.
Contents:
  • 1. Solution of equations by iteration-- 2. Solution of systems of linear equations-- 3. Special matrices-- 4. Simultaneous nonlinear equations-- 5. Eigenvalues and eigenvectors of a symmetric matrix-- 6. Polynomial interpolation-- 7. Numerical integration - I-- 8. Polynomial approximation in the -norm-- 9. Approximation in the 2-norm-- 10. Numerical integration - II-- 11. Piecewise polynomial approximation-- 12. Initial Value Problems for ODEs-- 13. Boundary Value Problems for ODEs-- 14. The Finite Element Method-- Appendix 1. An overview of results from real analysis-- Appendix 2. WWW-resources.
  • (source: Nielsen Book Data)
Publisher's Summary:
Numerical analysis provides the theoretical foundation for the numerical algorithms we rely on to solve a multitude of computational problems in science. Based on a successful course at Oxford University, this book covers a wide range of such problems ranging from the approximation of functions and integrals to the approximate solution of algebraic, transcendental, differential and integral equations. Throughout the book, particular attention is paid to the essential qualities of a numerical algorithm - stability, accuracy, reliability and efficiency. The authors go further than simply providing recipes for solving computational problems. They carefully analyse the reasons why methods might fail to give accurate answers, or why one method might return an answer in seconds while another would take billions of years. This book is ideal as a text for students in the second year of a university mathematics course. It combines practicality regarding applications with consistently high standards of rigour.
(source: Nielsen Book Data)
Contributor:
Mayers, D. F. (David Francis), 1931-
Subjects:
ISBN:
9780521007948
0521007941
0521810264
9780521810265

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