Search the Library Catalogue
Image from Amazon.com
Image from Google Jackets
An introduction to numerical analysis / Endre Süli and David F. Mayers.
Material type:
TextLanguage: English Publication details: Cambridge : Cambridge University Press, 2014.Edition: 1st edDescription: x, 433 p. : ill, ; 22 cmISBN: - 9780521007948
- 518.0285 SUL
Contents:
Summary: 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.
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..
| Item type | Current library | Collection | Shelving location | Call number | Status | Barcode | |
|---|---|---|---|---|---|---|---|
Reference
|
Kalaignar Centenary Library Madurai | ENGLISH-REFERENCE BOOKS | மூன்றாம் தளம் / Third floor | 518.0285 SUL (Browse shelf(Opens below)) | Not for loan | 340607 |
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..
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.