TY  - BOOK
AU  - Süli, Endre
AU  - Mayers, David F.
TI  - An introduction to numerical analysis
SN  - 9780521007948
U1  - 518.0285 
PY  - 2014///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Solution of equations by Iteration
KW  - Systems of linear equations and special matrices
KW  - Polynomial interpolation and approximation
KW  - Numerical integration
KW  - Initial and boundary value problems for ordinary differential equations
N1  - Includes appendix, bibliographical references (p. 167-178) and index; Solution of equations by iteration.
Solution of systems of linear equations.
Special matrices.
Simultaneous nonlinear equations.
Eigenvalues and eigenvectors of a symmetric matrix.
Polynomial interpolation.
Numerical integration.
Polynomial approximation in the ∞-norm.
Approximation in the 2-norm..
Numerical integration.
Piecewise polynomial approximation.
Initial value problems for ODEs.
Boundary value problems for ODEs.
The finite element method
N2  - An Introduction to Numerical Analysis by Endre Süli and D. F. Mayers is a well-regarded textbook that blends rigorous mathematical foundations with practical algorithmic insights, making it an excellent resource for undergraduate mathematics students, particularly in their second year. Based on an Oxford University course, the book comprehensively covers key topics such as iterative methods for solving equations, linear systems, eigenvalue problems, interpolation, approximation, numerical integration, and both initial and boundary value problems for ordinary differential equations, including an introduction to the finite element method. It emphasizes the critical qualities of numerical algorithms, stability, accuracy, reliability, and efficiency, while not merely presenting solution methods, but also analyzing their strengths, limitations, and performance. Its clarity, structured progression, and depth make it both accessible for learners and reliable as a reference for further study.


ER  -