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An introduction to numerical analysis /
Süli, Endre
An introduction to numerical analysis / Endre Süli and David F. Mayers. - 1st ed. - Cambridge : Cambridge University Press, 2014. - x, 433 p. : ill, ; 22 cm.
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.
9780521007948
Solution of equations by Iteration.
Systems of linear equations and special matrices.
Polynomial interpolation and approximation.
Numerical integration.
Initial and boundary value problems for ordinary differential equations.
518.0285 / SUL
An introduction to numerical analysis / Endre Süli and David F. Mayers. - 1st ed. - Cambridge : Cambridge University Press, 2014. - x, 433 p. : ill, ; 22 cm.
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.
9780521007948
Solution of equations by Iteration.
Systems of linear equations and special matrices.
Polynomial interpolation and approximation.
Numerical integration.
Initial and boundary value problems for ordinary differential equations.
518.0285 / SUL