Numerical Methods: Fundamentals and Applications

ISBN-13: 9781108716000 / Angielski / Miękka / 2019 / 824 str.

Rajesh Kumar Gupta

Opis

Offers a comprehensive textbook for a course in numerical methods, numerical analysis and numerical techniques for undergraduate engineering students.

Spis treści

Preface; Acknowledgement; Dedication; 1. Number systems; 2. Error analysis; 3. Nonlinear equations; 4. Nonlinear systems and polynomial equations; 5. Systems of linear equations; 6. Eigenvalues and eigenvectors; 7. Eigenvalues and eigenvectors of real symmetric matrices; 8. Interpolation; 9. Finite operators; 10. Interpolation for equal intervals and bivariate interpolation; 11. Splines, curve fitting, and other approximating curves; 12. Numerical differentiation; 13. Numerical integration; 14. First order ordinary differential equations: initial value problems; 15. Systems of first order ODEs and higher order ODEs: initial and boundary value problems; 16. Partial differential equations: finite difference methods; References; Index.