LEADER 03086nam 22004812 450 001 9910784406203321 005 20240102235744.0 010 $a1-107-13229-0 010 $a1-139-63690-1 010 $a0-511-07810-2 010 $a0-511-80118-1 010 $a0-511-20440-X 010 $a0-511-56153-9 010 $a0-511-07653-3 035 $a(UkCbUP)CR9780511801181 035 $a(MiAaPQ)EBC221072 035 $a(PPN)261362437 035 $a(CKB)1000000000353822 035 $a(EXLCZ)991000000000353822 100 $a20101021d2003|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn introduction to numerical analysis /$fEndre Su?li and David F. Mayers$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2003. 215 $a1 online resource (x, 433 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 320 $aIncludes bibliographical references and index. 327 $a1 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 A An overview of results from real analysis; Appendix B WWW-resources; Bibliography; Index. 330 $aNumerical 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. 606 $aNumerical analysis 615 0$aNumerical analysis. 676 $a519.4 700 $aSu?li$b Endre$f1956-$0284124 702 $aMayers$b D. F$g(David Francis),$f1931- 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910784406203321 996 $aIntroduction to numerical analysis$9277374 997 $aUNINA